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1 ------------------------------------------------------------------------
2 -- tointegralx.decTest -- round decimal to integral value, exact --
3 -- Copyright (c) IBM Corporation, 2001, 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 -- This set of tests tests the extended specification 'round-to-integral
23 -- value' operation (from IEEE 854, later modified in 754r).
24 -- All non-zero results are defined as being those from either copy or
25 -- quantize, so those are assumed to have been tested.
26
27 -- This tests toIntegraExact, which may set Inexact
28
29 extended: 1
30 precision: 9
31 rounding: half_up
32 maxExponent: 999
33 minExponent: -999
34
35 intxx001 tointegralx 0 -> 0
36 intxx002 tointegralx 0.0 -> 0
37 intxx003 tointegralx 0.1 -> 0 Inexact Rounded
38 intxx004 tointegralx 0.2 -> 0 Inexact Rounded
39 intxx005 tointegralx 0.3 -> 0 Inexact Rounded
40 intxx006 tointegralx 0.4 -> 0 Inexact Rounded
41 intxx007 tointegralx 0.5 -> 1 Inexact Rounded
42 intxx008 tointegralx 0.6 -> 1 Inexact Rounded
43 intxx009 tointegralx 0.7 -> 1 Inexact Rounded
44 intxx010 tointegralx 0.8 -> 1 Inexact Rounded
45 intxx011 tointegralx 0.9 -> 1 Inexact Rounded
46 intxx012 tointegralx 1 -> 1
47 intxx013 tointegralx 1.0 -> 1 Rounded
48 intxx014 tointegralx 1.1 -> 1 Inexact Rounded
49 intxx015 tointegralx 1.2 -> 1 Inexact Rounded
50 intxx016 tointegralx 1.3 -> 1 Inexact Rounded
51 intxx017 tointegralx 1.4 -> 1 Inexact Rounded
52 intxx018 tointegralx 1.5 -> 2 Inexact Rounded
53 intxx019 tointegralx 1.6 -> 2 Inexact Rounded
54 intxx020 tointegralx 1.7 -> 2 Inexact Rounded
55 intxx021 tointegralx 1.8 -> 2 Inexact Rounded
56 intxx022 tointegralx 1.9 -> 2 Inexact Rounded
57 -- negatives
58 intxx031 tointegralx -0 -> -0
59 intxx032 tointegralx -0.0 -> -0
60 intxx033 tointegralx -0.1 -> -0 Inexact Rounded
61 intxx034 tointegralx -0.2 -> -0 Inexact Rounded
62 intxx035 tointegralx -0.3 -> -0 Inexact Rounded
63 intxx036 tointegralx -0.4 -> -0 Inexact Rounded
64 intxx037 tointegralx -0.5 -> -1 Inexact Rounded
65 intxx038 tointegralx -0.6 -> -1 Inexact Rounded
66 intxx039 tointegralx -0.7 -> -1 Inexact Rounded
67 intxx040 tointegralx -0.8 -> -1 Inexact Rounded
68 intxx041 tointegralx -0.9 -> -1 Inexact Rounded
69 intxx042 tointegralx -1 -> -1
70 intxx043 tointegralx -1.0 -> -1 Rounded
71 intxx044 tointegralx -1.1 -> -1 Inexact Rounded
72 intxx045 tointegralx -1.2 -> -1 Inexact Rounded
73 intxx046 tointegralx -1.3 -> -1 Inexact Rounded
74 intxx047 tointegralx -1.4 -> -1 Inexact Rounded
75 intxx048 tointegralx -1.5 -> -2 Inexact Rounded
76 intxx049 tointegralx -1.6 -> -2 Inexact Rounded
77 intxx050 tointegralx -1.7 -> -2 Inexact Rounded
78 intxx051 tointegralx -1.8 -> -2 Inexact Rounded
79 intxx052 tointegralx -1.9 -> -2 Inexact Rounded
80 -- next two would be NaN using quantize(x, 0)
81 intxx053 tointegralx 10E+30 -> 1.0E+31
82 intxx054 tointegralx -10E+30 -> -1.0E+31
83
84 -- numbers around precision
85 precision: 9
86 intxx060 tointegralx '56267E-10' -> '0' Inexact Rounded
87 intxx061 tointegralx '56267E-5' -> '1' Inexact Rounded
88 intxx062 tointegralx '56267E-2' -> '563' Inexact Rounded
89 intxx063 tointegralx '56267E-1' -> '5627' Inexact Rounded
90 intxx065 tointegralx '56267E-0' -> '56267'
91 intxx066 tointegralx '56267E+0' -> '56267'
92 intxx067 tointegralx '56267E+1' -> '5.6267E+5'
93 intxx068 tointegralx '56267E+2' -> '5.6267E+6'
94 intxx069 tointegralx '56267E+3' -> '5.6267E+7'
95 intxx070 tointegralx '56267E+4' -> '5.6267E+8'
96 intxx071 tointegralx '56267E+5' -> '5.6267E+9'
97 intxx072 tointegralx '56267E+6' -> '5.6267E+10'
98 intxx073 tointegralx '1.23E+96' -> '1.23E+96'
99 intxx074 tointegralx '1.23E+384' -> '1.23E+384'
100 intxx075 tointegralx '1.23E+999' -> '1.23E+999'
101
102 intxx080 tointegralx '-56267E-10' -> '-0' Inexact Rounded
103 intxx081 tointegralx '-56267E-5' -> '-1' Inexact Rounded
104 intxx082 tointegralx '-56267E-2' -> '-563' Inexact Rounded
105 intxx083 tointegralx '-56267E-1' -> '-5627' Inexact Rounded
106 intxx085 tointegralx '-56267E-0' -> '-56267'
107 intxx086 tointegralx '-56267E+0' -> '-56267'
108 intxx087 tointegralx '-56267E+1' -> '-5.6267E+5'
109 intxx088 tointegralx '-56267E+2' -> '-5.6267E+6'
110 intxx089 tointegralx '-56267E+3' -> '-5.6267E+7'
111 intxx090 tointegralx '-56267E+4' -> '-5.6267E+8'
112 intxx091 tointegralx '-56267E+5' -> '-5.6267E+9'
113 intxx092 tointegralx '-56267E+6' -> '-5.6267E+10'
114 intxx093 tointegralx '-1.23E+96' -> '-1.23E+96'
115 intxx094 tointegralx '-1.23E+384' -> '-1.23E+384'
116 intxx095 tointegralx '-1.23E+999' -> '-1.23E+999'
117
118 -- subnormal inputs
119 intxx100 tointegralx 1E-999 -> 0 Inexact Rounded
120 intxx101 tointegralx 0.1E-999 -> 0 Inexact Rounded
121 intxx102 tointegralx 0.01E-999 -> 0 Inexact Rounded
122 intxx103 tointegralx 0E-999 -> 0
123
124 -- specials and zeros
125 intxx120 tointegralx 'Inf' -> Infinity
126 intxx121 tointegralx '-Inf' -> -Infinity
127 intxx122 tointegralx NaN -> NaN
128 intxx123 tointegralx sNaN -> NaN Invalid_operation
129 intxx124 tointegralx 0 -> 0
130 intxx125 tointegralx -0 -> -0
131 intxx126 tointegralx 0.000 -> 0
132 intxx127 tointegralx 0.00 -> 0
133 intxx128 tointegralx 0.0 -> 0
134 intxx129 tointegralx 0 -> 0
135 intxx130 tointegralx 0E-3 -> 0
136 intxx131 tointegralx 0E-2 -> 0
137 intxx132 tointegralx 0E-1 -> 0
138 intxx133 tointegralx 0E-0 -> 0
139 intxx134 tointegralx 0E+1 -> 0E+1
140 intxx135 tointegralx 0E+2 -> 0E+2
141 intxx136 tointegralx 0E+3 -> 0E+3
142 intxx137 tointegralx 0E+4 -> 0E+4
143 intxx138 tointegralx 0E+5 -> 0E+5
144 intxx139 tointegralx -0.000 -> -0
145 intxx140 tointegralx -0.00 -> -0
146 intxx141 tointegralx -0.0 -> -0
147 intxx142 tointegralx -0 -> -0
148 intxx143 tointegralx -0E-3 -> -0
149 intxx144 tointegralx -0E-2 -> -0
150 intxx145 tointegralx -0E-1 -> -0
151 intxx146 tointegralx -0E-0 -> -0
152 intxx147 tointegralx -0E+1 -> -0E+1
153 intxx148 tointegralx -0E+2 -> -0E+2
154 intxx149 tointegralx -0E+3 -> -0E+3
155 intxx150 tointegralx -0E+4 -> -0E+4
156 intxx151 tointegralx -0E+5 -> -0E+5
157 -- propagating NaNs
158 intxx152 tointegralx NaN808 -> NaN808
159 intxx153 tointegralx sNaN080 -> NaN80 Invalid_operation
160 intxx154 tointegralx -NaN808 -> -NaN808
161 intxx155 tointegralx -sNaN080 -> -NaN80 Invalid_operation
162 intxx156 tointegralx -NaN -> -NaN
163 intxx157 tointegralx -sNaN -> -NaN Invalid_operation
164
165 -- examples
166 rounding: half_up
167 precision: 9
168 intxx200 tointegralx 2.1 -> 2 Inexact Rounded
169 intxx201 tointegralx 100 -> 100
170 intxx202 tointegralx 100.0 -> 100 Rounded
171 intxx203 tointegralx 101.5 -> 102 Inexact Rounded
172 intxx204 tointegralx -101.5 -> -102 Inexact Rounded
173 intxx205 tointegralx 10E+5 -> 1.0E+6
174 intxx206 tointegralx 7.89E+77 -> 7.89E+77
175 intxx207 tointegralx -Inf -> -Infinity
176
177
178 -- all rounding modes
179 rounding: half_even
180
181 intxx210 tointegralx 55.5 -> 56 Inexact Rounded
182 intxx211 tointegralx 56.5 -> 56 Inexact Rounded
183 intxx212 tointegralx 57.5 -> 58 Inexact Rounded
184 intxx213 tointegralx -55.5 -> -56 Inexact Rounded
185 intxx214 tointegralx -56.5 -> -56 Inexact Rounded
186 intxx215 tointegralx -57.5 -> -58 Inexact Rounded
187
188 rounding: half_up
189
190 intxx220 tointegralx 55.5 -> 56 Inexact Rounded
191 intxx221 tointegralx 56.5 -> 57 Inexact Rounded
192 intxx222 tointegralx 57.5 -> 58 Inexact Rounded
193 intxx223 tointegralx -55.5 -> -56 Inexact Rounded
194 intxx224 tointegralx -56.5 -> -57 Inexact Rounded
195 intxx225 tointegralx -57.5 -> -58 Inexact Rounded
196
197 rounding: half_down
198
199 intxx230 tointegralx 55.5 -> 55 Inexact Rounded
200 intxx231 tointegralx 56.5 -> 56 Inexact Rounded
201 intxx232 tointegralx 57.5 -> 57 Inexact Rounded
202 intxx233 tointegralx -55.5 -> -55 Inexact Rounded
203 intxx234 tointegralx -56.5 -> -56 Inexact Rounded
204 intxx235 tointegralx -57.5 -> -57 Inexact Rounded
205
206 rounding: up
207
208 intxx240 tointegralx 55.3 -> 56 Inexact Rounded
209 intxx241 tointegralx 56.3 -> 57 Inexact Rounded
210 intxx242 tointegralx 57.3 -> 58 Inexact Rounded
211 intxx243 tointegralx -55.3 -> -56 Inexact Rounded
212 intxx244 tointegralx -56.3 -> -57 Inexact Rounded
213 intxx245 tointegralx -57.3 -> -58 Inexact Rounded
214
215 rounding: down
216
217 intxx250 tointegralx 55.7 -> 55 Inexact Rounded
218 intxx251 tointegralx 56.7 -> 56 Inexact Rounded
219 intxx252 tointegralx 57.7 -> 57 Inexact Rounded
220 intxx253 tointegralx -55.7 -> -55 Inexact Rounded
221 intxx254 tointegralx -56.7 -> -56 Inexact Rounded
222 intxx255 tointegralx -57.7 -> -57 Inexact Rounded
223
224 rounding: ceiling
225
226 intxx260 tointegralx 55.3 -> 56 Inexact Rounded
227 intxx261 tointegralx 56.3 -> 57 Inexact Rounded
228 intxx262 tointegralx 57.3 -> 58 Inexact Rounded
229 intxx263 tointegralx -55.3 -> -55 Inexact Rounded
230 intxx264 tointegralx -56.3 -> -56 Inexact Rounded
231 intxx265 tointegralx -57.3 -> -57 Inexact Rounded
232
233 rounding: floor
234
235 intxx270 tointegralx 55.7 -> 55 Inexact Rounded
236 intxx271 tointegralx 56.7 -> 56 Inexact Rounded
237 intxx272 tointegralx 57.7 -> 57 Inexact Rounded
238 intxx273 tointegralx -55.7 -> -56 Inexact Rounded
239 intxx274 tointegralx -56.7 -> -57 Inexact Rounded
240 intxx275 tointegralx -57.7 -> -58 Inexact Rounded
241
242 -- Int and uInt32 edge values for testing conversions
243 precision: 16
244 intxx300 tointegralx -2147483646 -> -2147483646
245 intxx301 tointegralx -2147483647 -> -2147483647
246 intxx302 tointegralx -2147483648 -> -2147483648
247 intxx303 tointegralx -2147483649 -> -2147483649
248 intxx304 tointegralx 2147483646 -> 2147483646
249 intxx305 tointegralx 2147483647 -> 2147483647
250 intxx306 tointegralx 2147483648 -> 2147483648
251 intxx307 tointegralx 2147483649 -> 2147483649
252 intxx308 tointegralx 4294967294 -> 4294967294
253 intxx309 tointegralx 4294967295 -> 4294967295
254 intxx310 tointegralx 4294967296 -> 4294967296
255 intxx311 tointegralx 4294967297 -> 4294967297