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gerrit-public.fairphone.software / platform / external / python / cpython3 / 9bfd0dee9b80c158cfb4228e7495820a791cd1fb / . / Lib / test / decimaltestdata / ddToIntegral.decTest
blob: 900bd4ac3a81893e6145d286645f8c73a00d9b49 [file] [log] [blame]
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]1------------------------------------------------------------------------
2-- ddToIntegral.decTest -- round Double to integral value --
Benjamin Petersonf17ff4e2008-07-31 16:32:12 +0000[diff] [blame]3-- Copyright (c) IBM Corporation, 2001, 2008. All rights reserved. --
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]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------------------------------------------------------------------------
Mark Dickinson8a546532009-10-08 16:30:38 +0000[diff] [blame]20version: 2.59
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000[diff] [blame]21
22-- This set of tests tests the extended specification 'round-to-integral
23-- value-exact' operations (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 extensively
26-- elsewhere; the tests here are for integrity, rounding mode, etc.
27-- Also, it is assumed the test harness will use these tests for both
28-- ToIntegralExact (which does set Inexact) and the fixed-name
29-- functions (which do not set Inexact).
30
31-- Note that decNumber implements an earlier definition of toIntegral
32-- which never sets Inexact; the decTest operator for that is called
33-- 'tointegral' instead of 'tointegralx'.
34
35precision: 16
36maxExponent: 384
37minExponent: -383
38extended: 1
39clamp: 1
40rounding: half_even
41
42ddintx001 tointegralx 0 -> 0
43ddintx002 tointegralx 0.0 -> 0
44ddintx003 tointegralx 0.1 -> 0 Inexact Rounded
45ddintx004 tointegralx 0.2 -> 0 Inexact Rounded
46ddintx005 tointegralx 0.3 -> 0 Inexact Rounded
47ddintx006 tointegralx 0.4 -> 0 Inexact Rounded
48ddintx007 tointegralx 0.5 -> 0 Inexact Rounded
49ddintx008 tointegralx 0.6 -> 1 Inexact Rounded
50ddintx009 tointegralx 0.7 -> 1 Inexact Rounded
51ddintx010 tointegralx 0.8 -> 1 Inexact Rounded
52ddintx011 tointegralx 0.9 -> 1 Inexact Rounded
53ddintx012 tointegralx 1 -> 1
54ddintx013 tointegralx 1.0 -> 1 Rounded
55ddintx014 tointegralx 1.1 -> 1 Inexact Rounded
56ddintx015 tointegralx 1.2 -> 1 Inexact Rounded
57ddintx016 tointegralx 1.3 -> 1 Inexact Rounded
58ddintx017 tointegralx 1.4 -> 1 Inexact Rounded
59ddintx018 tointegralx 1.5 -> 2 Inexact Rounded
60ddintx019 tointegralx 1.6 -> 2 Inexact Rounded
61ddintx020 tointegralx 1.7 -> 2 Inexact Rounded
62ddintx021 tointegralx 1.8 -> 2 Inexact Rounded
63ddintx022 tointegralx 1.9 -> 2 Inexact Rounded
64-- negatives
65ddintx031 tointegralx -0 -> -0
66ddintx032 tointegralx -0.0 -> -0
67ddintx033 tointegralx -0.1 -> -0 Inexact Rounded
68ddintx034 tointegralx -0.2 -> -0 Inexact Rounded
69ddintx035 tointegralx -0.3 -> -0 Inexact Rounded
70ddintx036 tointegralx -0.4 -> -0 Inexact Rounded
71ddintx037 tointegralx -0.5 -> -0 Inexact Rounded
72ddintx038 tointegralx -0.6 -> -1 Inexact Rounded
73ddintx039 tointegralx -0.7 -> -1 Inexact Rounded
74ddintx040 tointegralx -0.8 -> -1 Inexact Rounded
75ddintx041 tointegralx -0.9 -> -1 Inexact Rounded
76ddintx042 tointegralx -1 -> -1
77ddintx043 tointegralx -1.0 -> -1 Rounded
78ddintx044 tointegralx -1.1 -> -1 Inexact Rounded
79ddintx045 tointegralx -1.2 -> -1 Inexact Rounded
80ddintx046 tointegralx -1.3 -> -1 Inexact Rounded
81ddintx047 tointegralx -1.4 -> -1 Inexact Rounded
82ddintx048 tointegralx -1.5 -> -2 Inexact Rounded
83ddintx049 tointegralx -1.6 -> -2 Inexact Rounded
84ddintx050 tointegralx -1.7 -> -2 Inexact Rounded
85ddintx051 tointegralx -1.8 -> -2 Inexact Rounded
86ddintx052 tointegralx -1.9 -> -2 Inexact Rounded
87-- next two would be NaN using quantize(x, 0)
88ddintx053 tointegralx 10E+60 -> 1.0E+61
89ddintx054 tointegralx -10E+60 -> -1.0E+61
90
91-- numbers around precision
92ddintx060 tointegralx '56267E-17' -> '0' Inexact Rounded
93ddintx061 tointegralx '56267E-5' -> '1' Inexact Rounded
94ddintx062 tointegralx '56267E-2' -> '563' Inexact Rounded
95ddintx063 tointegralx '56267E-1' -> '5627' Inexact Rounded
96ddintx065 tointegralx '56267E-0' -> '56267'
97ddintx066 tointegralx '56267E+0' -> '56267'
98ddintx067 tointegralx '56267E+1' -> '5.6267E+5'
99ddintx068 tointegralx '56267E+9' -> '5.6267E+13'
100ddintx069 tointegralx '56267E+10' -> '5.6267E+14'
101ddintx070 tointegralx '56267E+11' -> '5.6267E+15'
102ddintx071 tointegralx '56267E+12' -> '5.6267E+16'
103ddintx072 tointegralx '56267E+13' -> '5.6267E+17'
104ddintx073 tointegralx '1.23E+96' -> '1.23E+96'
105ddintx074 tointegralx '1.23E+384' -> #47fd300000000000 Clamped
106
107ddintx080 tointegralx '-56267E-10' -> '-0' Inexact Rounded
108ddintx081 tointegralx '-56267E-5' -> '-1' Inexact Rounded
109ddintx082 tointegralx '-56267E-2' -> '-563' Inexact Rounded
110ddintx083 tointegralx '-56267E-1' -> '-5627' Inexact Rounded
111ddintx085 tointegralx '-56267E-0' -> '-56267'
112ddintx086 tointegralx '-56267E+0' -> '-56267'
113ddintx087 tointegralx '-56267E+1' -> '-5.6267E+5'
114ddintx088 tointegralx '-56267E+9' -> '-5.6267E+13'
115ddintx089 tointegralx '-56267E+10' -> '-5.6267E+14'
116ddintx090 tointegralx '-56267E+11' -> '-5.6267E+15'
117ddintx091 tointegralx '-56267E+12' -> '-5.6267E+16'
118ddintx092 tointegralx '-56267E+13' -> '-5.6267E+17'
119ddintx093 tointegralx '-1.23E+96' -> '-1.23E+96'
120ddintx094 tointegralx '-1.23E+384' -> #c7fd300000000000 Clamped
121
122-- subnormal inputs
123ddintx100 tointegralx 1E-299 -> 0 Inexact Rounded
124ddintx101 tointegralx 0.1E-299 -> 0 Inexact Rounded
125ddintx102 tointegralx 0.01E-299 -> 0 Inexact Rounded
126ddintx103 tointegralx 0E-299 -> 0
127
128-- specials and zeros
129ddintx120 tointegralx 'Inf' -> Infinity
130ddintx121 tointegralx '-Inf' -> -Infinity
131ddintx122 tointegralx NaN -> NaN
132ddintx123 tointegralx sNaN -> NaN Invalid_operation
133ddintx124 tointegralx 0 -> 0
134ddintx125 tointegralx -0 -> -0
135ddintx126 tointegralx 0.000 -> 0
136ddintx127 tointegralx 0.00 -> 0
137ddintx128 tointegralx 0.0 -> 0
138ddintx129 tointegralx 0 -> 0
139ddintx130 tointegralx 0E-3 -> 0
140ddintx131 tointegralx 0E-2 -> 0
141ddintx132 tointegralx 0E-1 -> 0
142ddintx133 tointegralx 0E-0 -> 0
143ddintx134 tointegralx 0E+1 -> 0E+1
144ddintx135 tointegralx 0E+2 -> 0E+2
145ddintx136 tointegralx 0E+3 -> 0E+3
146ddintx137 tointegralx 0E+4 -> 0E+4
147ddintx138 tointegralx 0E+5 -> 0E+5
148ddintx139 tointegralx -0.000 -> -0
149ddintx140 tointegralx -0.00 -> -0
150ddintx141 tointegralx -0.0 -> -0
151ddintx142 tointegralx -0 -> -0
152ddintx143 tointegralx -0E-3 -> -0
153ddintx144 tointegralx -0E-2 -> -0
154ddintx145 tointegralx -0E-1 -> -0
155ddintx146 tointegralx -0E-0 -> -0
156ddintx147 tointegralx -0E+1 -> -0E+1
157ddintx148 tointegralx -0E+2 -> -0E+2
158ddintx149 tointegralx -0E+3 -> -0E+3
159ddintx150 tointegralx -0E+4 -> -0E+4
160ddintx151 tointegralx -0E+5 -> -0E+5
161-- propagating NaNs
162ddintx152 tointegralx NaN808 -> NaN808
163ddintx153 tointegralx sNaN080 -> NaN80 Invalid_operation
164ddintx154 tointegralx -NaN808 -> -NaN808
165ddintx155 tointegralx -sNaN080 -> -NaN80 Invalid_operation
166ddintx156 tointegralx -NaN -> -NaN
167ddintx157 tointegralx -sNaN -> -NaN Invalid_operation
168
169-- examples
170rounding: half_up
171ddintx200 tointegralx 2.1 -> 2 Inexact Rounded
172ddintx201 tointegralx 100 -> 100
173ddintx202 tointegralx 100.0 -> 100 Rounded
174ddintx203 tointegralx 101.5 -> 102 Inexact Rounded
175ddintx204 tointegralx -101.5 -> -102 Inexact Rounded
176ddintx205 tointegralx 10E+5 -> 1.0E+6
177ddintx206 tointegralx 7.89E+77 -> 7.89E+77
178ddintx207 tointegralx -Inf -> -Infinity
179
180
181-- all rounding modes
182rounding: half_even
183ddintx210 tointegralx 55.5 -> 56 Inexact Rounded
184ddintx211 tointegralx 56.5 -> 56 Inexact Rounded
185ddintx212 tointegralx 57.5 -> 58 Inexact Rounded
186ddintx213 tointegralx -55.5 -> -56 Inexact Rounded
187ddintx214 tointegralx -56.5 -> -56 Inexact Rounded
188ddintx215 tointegralx -57.5 -> -58 Inexact Rounded
189
190rounding: half_up
191
192ddintx220 tointegralx 55.5 -> 56 Inexact Rounded
193ddintx221 tointegralx 56.5 -> 57 Inexact Rounded
194ddintx222 tointegralx 57.5 -> 58 Inexact Rounded
195ddintx223 tointegralx -55.5 -> -56 Inexact Rounded
196ddintx224 tointegralx -56.5 -> -57 Inexact Rounded
197ddintx225 tointegralx -57.5 -> -58 Inexact Rounded
198
199rounding: half_down
200
201ddintx230 tointegralx 55.5 -> 55 Inexact Rounded
202ddintx231 tointegralx 56.5 -> 56 Inexact Rounded
203ddintx232 tointegralx 57.5 -> 57 Inexact Rounded
204ddintx233 tointegralx -55.5 -> -55 Inexact Rounded
205ddintx234 tointegralx -56.5 -> -56 Inexact Rounded
206ddintx235 tointegralx -57.5 -> -57 Inexact Rounded
207
208rounding: up
209
210ddintx240 tointegralx 55.3 -> 56 Inexact Rounded
211ddintx241 tointegralx 56.3 -> 57 Inexact Rounded
212ddintx242 tointegralx 57.3 -> 58 Inexact Rounded
213ddintx243 tointegralx -55.3 -> -56 Inexact Rounded
214ddintx244 tointegralx -56.3 -> -57 Inexact Rounded
215ddintx245 tointegralx -57.3 -> -58 Inexact Rounded
216
217rounding: down
218
219ddintx250 tointegralx 55.7 -> 55 Inexact Rounded
220ddintx251 tointegralx 56.7 -> 56 Inexact Rounded
221ddintx252 tointegralx 57.7 -> 57 Inexact Rounded
222ddintx253 tointegralx -55.7 -> -55 Inexact Rounded
223ddintx254 tointegralx -56.7 -> -56 Inexact Rounded
224ddintx255 tointegralx -57.7 -> -57 Inexact Rounded
225
226rounding: ceiling
227
228ddintx260 tointegralx 55.3 -> 56 Inexact Rounded
229ddintx261 tointegralx 56.3 -> 57 Inexact Rounded
230ddintx262 tointegralx 57.3 -> 58 Inexact Rounded
231ddintx263 tointegralx -55.3 -> -55 Inexact Rounded
232ddintx264 tointegralx -56.3 -> -56 Inexact Rounded
233ddintx265 tointegralx -57.3 -> -57 Inexact Rounded
234
235rounding: floor
236
237ddintx270 tointegralx 55.7 -> 55 Inexact Rounded
238ddintx271 tointegralx 56.7 -> 56 Inexact Rounded
239ddintx272 tointegralx 57.7 -> 57 Inexact Rounded
240ddintx273 tointegralx -55.7 -> -56 Inexact Rounded
241ddintx274 tointegralx -56.7 -> -57 Inexact Rounded
242ddintx275 tointegralx -57.7 -> -58 Inexact Rounded
243
244-- Int and uInt32 edge values for testing conversions
245ddintx300 tointegralx -2147483646 -> -2147483646
246ddintx301 tointegralx -2147483647 -> -2147483647
247ddintx302 tointegralx -2147483648 -> -2147483648
248ddintx303 tointegralx -2147483649 -> -2147483649
249ddintx304 tointegralx 2147483646 -> 2147483646
250ddintx305 tointegralx 2147483647 -> 2147483647
251ddintx306 tointegralx 2147483648 -> 2147483648
252ddintx307 tointegralx 2147483649 -> 2147483649
253ddintx308 tointegralx 4294967294 -> 4294967294
254ddintx309 tointegralx 4294967295 -> 4294967295
255ddintx310 tointegralx 4294967296 -> 4294967296
256ddintx311 tointegralx 4294967297 -> 4294967297
257