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------------------------------------------------------------------------
20version: 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
29extended:    1
30precision:   9
31rounding:    half_up
32maxExponent: 999
33minExponent: -999
34
35intxx001 tointegralx      0     ->  0
36intxx002 tointegralx      0.0   ->  0
37intxx003 tointegralx      0.1   ->  0 Inexact Rounded
38intxx004 tointegralx      0.2   ->  0 Inexact Rounded
39intxx005 tointegralx      0.3   ->  0 Inexact Rounded
40intxx006 tointegralx      0.4   ->  0 Inexact Rounded
41intxx007 tointegralx      0.5   ->  1 Inexact Rounded
42intxx008 tointegralx      0.6   ->  1 Inexact Rounded
43intxx009 tointegralx      0.7   ->  1 Inexact Rounded
44intxx010 tointegralx      0.8   ->  1 Inexact Rounded
45intxx011 tointegralx      0.9   ->  1 Inexact Rounded
46intxx012 tointegralx      1     ->  1
47intxx013 tointegralx      1.0   ->  1 Rounded
48intxx014 tointegralx      1.1   ->  1 Inexact Rounded
49intxx015 tointegralx      1.2   ->  1 Inexact Rounded
50intxx016 tointegralx      1.3   ->  1 Inexact Rounded
51intxx017 tointegralx      1.4   ->  1 Inexact Rounded
52intxx018 tointegralx      1.5   ->  2 Inexact Rounded
53intxx019 tointegralx      1.6   ->  2 Inexact Rounded
54intxx020 tointegralx      1.7   ->  2 Inexact Rounded
55intxx021 tointegralx      1.8   ->  2 Inexact Rounded
56intxx022 tointegralx      1.9   ->  2 Inexact Rounded
57-- negatives
58intxx031 tointegralx     -0     -> -0
59intxx032 tointegralx     -0.0   -> -0
60intxx033 tointegralx     -0.1   -> -0 Inexact Rounded
61intxx034 tointegralx     -0.2   -> -0 Inexact Rounded
62intxx035 tointegralx     -0.3   -> -0 Inexact Rounded
63intxx036 tointegralx     -0.4   -> -0 Inexact Rounded
64intxx037 tointegralx     -0.5   -> -1 Inexact Rounded
65intxx038 tointegralx     -0.6   -> -1 Inexact Rounded
66intxx039 tointegralx     -0.7   -> -1 Inexact Rounded
67intxx040 tointegralx     -0.8   -> -1 Inexact Rounded
68intxx041 tointegralx     -0.9   -> -1 Inexact Rounded
69intxx042 tointegralx     -1     -> -1
70intxx043 tointegralx     -1.0   -> -1 Rounded
71intxx044 tointegralx     -1.1   -> -1 Inexact Rounded
72intxx045 tointegralx     -1.2   -> -1 Inexact Rounded
73intxx046 tointegralx     -1.3   -> -1 Inexact Rounded
74intxx047 tointegralx     -1.4   -> -1 Inexact Rounded
75intxx048 tointegralx     -1.5   -> -2 Inexact Rounded
76intxx049 tointegralx     -1.6   -> -2 Inexact Rounded
77intxx050 tointegralx     -1.7   -> -2 Inexact Rounded
78intxx051 tointegralx     -1.8   -> -2 Inexact Rounded
79intxx052 tointegralx     -1.9   -> -2 Inexact Rounded
80-- next two would be NaN using quantize(x, 0)
81intxx053 tointegralx    10E+30  -> 1.0E+31
82intxx054 tointegralx   -10E+30  -> -1.0E+31
83
84-- numbers around precision
85precision: 9
86intxx060 tointegralx '56267E-10'   -> '0'               Inexact Rounded
87intxx061 tointegralx '56267E-5'    -> '1'               Inexact Rounded
88intxx062 tointegralx '56267E-2'    -> '563'             Inexact Rounded
89intxx063 tointegralx '56267E-1'    -> '5627'            Inexact Rounded
90intxx065 tointegralx '56267E-0'    -> '56267'
91intxx066 tointegralx '56267E+0'    -> '56267'
92intxx067 tointegralx '56267E+1'    -> '5.6267E+5'
93intxx068 tointegralx '56267E+2'    -> '5.6267E+6'
94intxx069 tointegralx '56267E+3'    -> '5.6267E+7'
95intxx070 tointegralx '56267E+4'    -> '5.6267E+8'
96intxx071 tointegralx '56267E+5'    -> '5.6267E+9'
97intxx072 tointegralx '56267E+6'    -> '5.6267E+10'
98intxx073 tointegralx '1.23E+96'    -> '1.23E+96'
99intxx074 tointegralx '1.23E+384'   -> '1.23E+384'
100intxx075 tointegralx '1.23E+999'   -> '1.23E+999'
101
102intxx080 tointegralx '-56267E-10'  -> '-0'              Inexact Rounded
103intxx081 tointegralx '-56267E-5'   -> '-1'              Inexact Rounded
104intxx082 tointegralx '-56267E-2'   -> '-563'            Inexact Rounded
105intxx083 tointegralx '-56267E-1'   -> '-5627'           Inexact Rounded
106intxx085 tointegralx '-56267E-0'   -> '-56267'
107intxx086 tointegralx '-56267E+0'   -> '-56267'
108intxx087 tointegralx '-56267E+1'   -> '-5.6267E+5'
109intxx088 tointegralx '-56267E+2'   -> '-5.6267E+6'
110intxx089 tointegralx '-56267E+3'   -> '-5.6267E+7'
111intxx090 tointegralx '-56267E+4'   -> '-5.6267E+8'
112intxx091 tointegralx '-56267E+5'   -> '-5.6267E+9'
113intxx092 tointegralx '-56267E+6'   -> '-5.6267E+10'
114intxx093 tointegralx '-1.23E+96'   -> '-1.23E+96'
115intxx094 tointegralx '-1.23E+384'  -> '-1.23E+384'
116intxx095 tointegralx '-1.23E+999'  -> '-1.23E+999'
117
118-- subnormal inputs
119intxx100 tointegralx        1E-999 -> 0                 Inexact Rounded
120intxx101 tointegralx      0.1E-999 -> 0                 Inexact Rounded
121intxx102 tointegralx     0.01E-999 -> 0                 Inexact Rounded
122intxx103 tointegralx        0E-999 -> 0
123
124-- specials and zeros
125intxx120 tointegralx 'Inf'       ->  Infinity
126intxx121 tointegralx '-Inf'      -> -Infinity
127intxx122 tointegralx   NaN       ->  NaN
128intxx123 tointegralx  sNaN       ->  NaN  Invalid_operation
129intxx124 tointegralx     0       ->  0
130intxx125 tointegralx    -0       -> -0
131intxx126 tointegralx     0.000   ->  0
132intxx127 tointegralx     0.00    ->  0
133intxx128 tointegralx     0.0     ->  0
134intxx129 tointegralx     0       ->  0
135intxx130 tointegralx     0E-3    ->  0
136intxx131 tointegralx     0E-2    ->  0
137intxx132 tointegralx     0E-1    ->  0
138intxx133 tointegralx     0E-0    ->  0
139intxx134 tointegralx     0E+1    ->  0E+1
140intxx135 tointegralx     0E+2    ->  0E+2
141intxx136 tointegralx     0E+3    ->  0E+3
142intxx137 tointegralx     0E+4    ->  0E+4
143intxx138 tointegralx     0E+5    ->  0E+5
144intxx139 tointegralx    -0.000   -> -0
145intxx140 tointegralx    -0.00    -> -0
146intxx141 tointegralx    -0.0     -> -0
147intxx142 tointegralx    -0       -> -0
148intxx143 tointegralx    -0E-3    -> -0
149intxx144 tointegralx    -0E-2    -> -0
150intxx145 tointegralx    -0E-1    -> -0
151intxx146 tointegralx    -0E-0    -> -0
152intxx147 tointegralx    -0E+1    -> -0E+1
153intxx148 tointegralx    -0E+2    -> -0E+2
154intxx149 tointegralx    -0E+3    -> -0E+3
155intxx150 tointegralx    -0E+4    -> -0E+4
156intxx151 tointegralx    -0E+5    -> -0E+5
157-- propagating NaNs
158intxx152 tointegralx   NaN808    ->  NaN808
159intxx153 tointegralx  sNaN080    ->  NaN80  Invalid_operation
160intxx154 tointegralx  -NaN808    -> -NaN808
161intxx155 tointegralx -sNaN080    -> -NaN80  Invalid_operation
162intxx156 tointegralx  -NaN       -> -NaN
163intxx157 tointegralx -sNaN       -> -NaN    Invalid_operation
164
165-- examples
166rounding:    half_up
167precision:   9
168intxx200 tointegralx     2.1    -> 2                    Inexact Rounded
169intxx201 tointegralx   100      -> 100
170intxx202 tointegralx   100.0    -> 100                  Rounded
171intxx203 tointegralx   101.5    -> 102                  Inexact Rounded
172intxx204 tointegralx  -101.5    -> -102                 Inexact Rounded
173intxx205 tointegralx   10E+5    -> 1.0E+6
174intxx206 tointegralx  7.89E+77  -> 7.89E+77
175intxx207 tointegralx   -Inf     -> -Infinity
176
177
178-- all rounding modes
179rounding:    half_even
180
181intxx210 tointegralx     55.5   ->  56   Inexact Rounded
182intxx211 tointegralx     56.5   ->  56   Inexact Rounded
183intxx212 tointegralx     57.5   ->  58   Inexact Rounded
184intxx213 tointegralx    -55.5   -> -56   Inexact Rounded
185intxx214 tointegralx    -56.5   -> -56   Inexact Rounded
186intxx215 tointegralx    -57.5   -> -58   Inexact Rounded
187
188rounding:    half_up
189
190intxx220 tointegralx     55.5   ->  56   Inexact Rounded
191intxx221 tointegralx     56.5   ->  57   Inexact Rounded
192intxx222 tointegralx     57.5   ->  58   Inexact Rounded
193intxx223 tointegralx    -55.5   -> -56   Inexact Rounded
194intxx224 tointegralx    -56.5   -> -57   Inexact Rounded
195intxx225 tointegralx    -57.5   -> -58   Inexact Rounded
196
197rounding:    half_down
198
199intxx230 tointegralx     55.5   ->  55   Inexact Rounded
200intxx231 tointegralx     56.5   ->  56   Inexact Rounded
201intxx232 tointegralx     57.5   ->  57   Inexact Rounded
202intxx233 tointegralx    -55.5   -> -55   Inexact Rounded
203intxx234 tointegralx    -56.5   -> -56   Inexact Rounded
204intxx235 tointegralx    -57.5   -> -57   Inexact Rounded
205
206rounding:    up
207
208intxx240 tointegralx     55.3   ->  56   Inexact Rounded
209intxx241 tointegralx     56.3   ->  57   Inexact Rounded
210intxx242 tointegralx     57.3   ->  58   Inexact Rounded
211intxx243 tointegralx    -55.3   -> -56   Inexact Rounded
212intxx244 tointegralx    -56.3   -> -57   Inexact Rounded
213intxx245 tointegralx    -57.3   -> -58   Inexact Rounded
214
215rounding:    down
216
217intxx250 tointegralx     55.7   ->  55   Inexact Rounded
218intxx251 tointegralx     56.7   ->  56   Inexact Rounded
219intxx252 tointegralx     57.7   ->  57   Inexact Rounded
220intxx253 tointegralx    -55.7   -> -55   Inexact Rounded
221intxx254 tointegralx    -56.7   -> -56   Inexact Rounded
222intxx255 tointegralx    -57.7   -> -57   Inexact Rounded
223
224rounding:    ceiling
225
226intxx260 tointegralx     55.3   ->  56   Inexact Rounded
227intxx261 tointegralx     56.3   ->  57   Inexact Rounded
228intxx262 tointegralx     57.3   ->  58   Inexact Rounded
229intxx263 tointegralx    -55.3   -> -55   Inexact Rounded
230intxx264 tointegralx    -56.3   -> -56   Inexact Rounded
231intxx265 tointegralx    -57.3   -> -57   Inexact Rounded
232
233rounding:    floor
234
235intxx270 tointegralx     55.7   ->  55   Inexact Rounded
236intxx271 tointegralx     56.7   ->  56   Inexact Rounded
237intxx272 tointegralx     57.7   ->  57   Inexact Rounded
238intxx273 tointegralx    -55.7   -> -56   Inexact Rounded
239intxx274 tointegralx    -56.7   -> -57   Inexact Rounded
240intxx275 tointegralx    -57.7   -> -58   Inexact Rounded
241
242-- Int and uInt32 edge values for testing conversions
243precision: 16
244intxx300 tointegralx -2147483646  -> -2147483646
245intxx301 tointegralx -2147483647  -> -2147483647
246intxx302 tointegralx -2147483648  -> -2147483648
247intxx303 tointegralx -2147483649  -> -2147483649
248intxx304 tointegralx  2147483646  ->  2147483646
249intxx305 tointegralx  2147483647  ->  2147483647
250intxx306 tointegralx  2147483648  ->  2147483648
251intxx307 tointegralx  2147483649  ->  2147483649
252intxx308 tointegralx  4294967294  ->  4294967294
253intxx309 tointegralx  4294967295  ->  4294967295
254intxx310 tointegralx  4294967296  ->  4294967296
255intxx311 tointegralx  4294967297  ->  4294967297
256