1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
|
------------------------------------------------------------------------
-- dqRotate.decTest -- rotate decQuad coefficient left or right --
-- Copyright (c) IBM Corporation, 1981, 2007. All rights reserved. --
------------------------------------------------------------------------
-- Please see the document "General Decimal Arithmetic Testcases" --
-- at http://www2.hursley.ibm.com/decimal for the description of --
-- these testcases. --
-- --
-- These testcases are experimental ('beta' versions), and they --
-- may contain errors. They are offered on an as-is basis. In --
-- particular, achieving the same results as the tests here is not --
-- a guarantee that an implementation complies with any Standard --
-- or specification. The tests are not exhaustive. --
-- --
-- Please send comments, suggestions, and corrections to the author: --
-- Mike Cowlishaw, IBM Fellow --
-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
-- mfc@uk.ibm.com --
------------------------------------------------------------------------
version: 2.56
extended: 1
clamp: 1
precision: 34
maxExponent: 6144
minExponent: -6143
rounding: half_even
-- Sanity check
dqrot001 rotate 0 0 -> 0
dqrot002 rotate 0 2 -> 0
dqrot003 rotate 1 2 -> 100
dqrot004 rotate 1 33 -> 1000000000000000000000000000000000
dqrot005 rotate 1 34 -> 1
dqrot006 rotate 1 -1 -> 1000000000000000000000000000000000
dqrot007 rotate 0 -2 -> 0
dqrot008 rotate 1234567890123456789012345678901234 -1 -> 4123456789012345678901234567890123
dqrot009 rotate 1234567890123456789012345678901234 -33 -> 2345678901234567890123456789012341
dqrot010 rotate 1234567890123456789012345678901234 -34 -> 1234567890123456789012345678901234
dqrot011 rotate 9934567890123456789012345678901234 -33 -> 9345678901234567890123456789012349
dqrot012 rotate 9934567890123456789012345678901234 -34 -> 9934567890123456789012345678901234
-- rhs must be an integer
dqrot015 rotate 1 1.5 -> NaN Invalid_operation
dqrot016 rotate 1 1.0 -> NaN Invalid_operation
dqrot017 rotate 1 0.1 -> NaN Invalid_operation
dqrot018 rotate 1 0.0 -> NaN Invalid_operation
dqrot019 rotate 1 1E+1 -> NaN Invalid_operation
dqrot020 rotate 1 1E+99 -> NaN Invalid_operation
dqrot021 rotate 1 Inf -> NaN Invalid_operation
dqrot022 rotate 1 -Inf -> NaN Invalid_operation
-- and |rhs| <= precision
dqrot025 rotate 1 -1000 -> NaN Invalid_operation
dqrot026 rotate 1 -35 -> NaN Invalid_operation
dqrot027 rotate 1 35 -> NaN Invalid_operation
dqrot028 rotate 1 1000 -> NaN Invalid_operation
-- full pattern
dqrot030 rotate 1234567890123456789012345678901234 -34 -> 1234567890123456789012345678901234
dqrot031 rotate 1234567890123456789012345678901234 -33 -> 2345678901234567890123456789012341
dqrot032 rotate 1234567890123456789012345678901234 -32 -> 3456789012345678901234567890123412
dqrot033 rotate 1234567890123456789012345678901234 -31 -> 4567890123456789012345678901234123
dqrot034 rotate 1234567890123456789012345678901234 -30 -> 5678901234567890123456789012341234
dqrot035 rotate 1234567890123456789012345678901234 -29 -> 6789012345678901234567890123412345
dqrot036 rotate 1234567890123456789012345678901234 -28 -> 7890123456789012345678901234123456
dqrot037 rotate 1234567890123456789012345678901234 -27 -> 8901234567890123456789012341234567
dqrot038 rotate 1234567890123456789012345678901234 -26 -> 9012345678901234567890123412345678
dqrot039 rotate 1234567890123456789012345678901234 -25 -> 123456789012345678901234123456789
dqrot040 rotate 1234567890123456789012345678901234 -24 -> 1234567890123456789012341234567890
dqrot041 rotate 1234567890123456789012345678901234 -23 -> 2345678901234567890123412345678901
dqrot042 rotate 1234567890123456789012345678901234 -22 -> 3456789012345678901234123456789012
dqrot043 rotate 1234567890123456789012345678901234 -21 -> 4567890123456789012341234567890123
dqrot044 rotate 1234567890123456789012345678901234 -20 -> 5678901234567890123412345678901234
dqrot045 rotate 1234567890123456789012345678901234 -19 -> 6789012345678901234123456789012345
dqrot047 rotate 1234567890123456789012345678901234 -18 -> 7890123456789012341234567890123456
dqrot048 rotate 1234567890123456789012345678901234 -17 -> 8901234567890123412345678901234567
dqrot049 rotate 1234567890123456789012345678901234 -16 -> 9012345678901234123456789012345678
dqrot050 rotate 1234567890123456789012345678901234 -15 -> 123456789012341234567890123456789
dqrot051 rotate 1234567890123456789012345678901234 -14 -> 1234567890123412345678901234567890
dqrot052 rotate 1234567890123456789012345678901234 -13 -> 2345678901234123456789012345678901
dqrot053 rotate 1234567890123456789012345678901234 -12 -> 3456789012341234567890123456789012
dqrot054 rotate 1234567890123456789012345678901234 -11 -> 4567890123412345678901234567890123
dqrot055 rotate 1234567890123456789012345678901234 -10 -> 5678901234123456789012345678901234
dqrot056 rotate 1234567890123456789012345678901234 -9 -> 6789012341234567890123456789012345
dqrot057 rotate 1234567890123456789012345678901234 -8 -> 7890123412345678901234567890123456
dqrot058 rotate 1234567890123456789012345678901234 -7 -> 8901234123456789012345678901234567
dqrot059 rotate 1234567890123456789012345678901234 -6 -> 9012341234567890123456789012345678
dqrot060 rotate 1234567890123456789012345678901234 -5 -> 123412345678901234567890123456789
dqrot061 rotate 1234567890123456789012345678901234 -4 -> 1234123456789012345678901234567890
dqrot062 rotate 1234567890123456789012345678901234 -3 -> 2341234567890123456789012345678901
dqrot063 rotate 1234567890123456789012345678901234 -2 -> 3412345678901234567890123456789012
dqrot064 rotate 1234567890123456789012345678901234 -1 -> 4123456789012345678901234567890123
dqrot065 rotate 1234567890123456789012345678901234 -0 -> 1234567890123456789012345678901234
dqrot066 rotate 1234567890123456789012345678901234 +0 -> 1234567890123456789012345678901234
dqrot067 rotate 1234567890123456789012345678901234 +1 -> 2345678901234567890123456789012341
dqrot068 rotate 1234567890123456789012345678901234 +2 -> 3456789012345678901234567890123412
dqrot069 rotate 1234567890123456789012345678901234 +3 -> 4567890123456789012345678901234123
dqrot070 rotate 1234567890123456789012345678901234 +4 -> 5678901234567890123456789012341234
dqrot071 rotate 1234567890123456789012345678901234 +5 -> 6789012345678901234567890123412345
dqrot072 rotate 1234567890123456789012345678901234 +6 -> 7890123456789012345678901234123456
dqrot073 rotate 1234567890123456789012345678901234 +7 -> 8901234567890123456789012341234567
dqrot074 rotate 1234567890123456789012345678901234 +8 -> 9012345678901234567890123412345678
dqrot075 rotate 1234567890123456789012345678901234 +9 -> 123456789012345678901234123456789
dqrot076 rotate 1234567890123456789012345678901234 +10 -> 1234567890123456789012341234567890
dqrot077 rotate 1234567890123456789012345678901234 +11 -> 2345678901234567890123412345678901
dqrot078 rotate 1234567890123456789012345678901234 +12 -> 3456789012345678901234123456789012
dqrot079 rotate 1234567890123456789012345678901234 +13 -> 4567890123456789012341234567890123
dqrot080 rotate 1234567890123456789012345678901234 +14 -> 5678901234567890123412345678901234
dqrot081 rotate 1234567890123456789012345678901234 +15 -> 6789012345678901234123456789012345
dqrot082 rotate 1234567890123456789012345678901234 +16 -> 7890123456789012341234567890123456
dqrot083 rotate 1234567890123456789012345678901234 +17 -> 8901234567890123412345678901234567
dqrot084 rotate 1234567890123456789012345678901234 +18 -> 9012345678901234123456789012345678
dqrot085 rotate 1234567890123456789012345678901234 +19 -> 123456789012341234567890123456789
dqrot086 rotate 1234567890123456789012345678901234 +20 -> 1234567890123412345678901234567890
dqrot087 rotate 1234567890123456789012345678901234 +21 -> 2345678901234123456789012345678901
dqrot088 rotate 1234567890123456789012345678901234 +22 -> 3456789012341234567890123456789012
dqrot089 rotate 1234567890123456789012345678901234 +23 -> 4567890123412345678901234567890123
dqrot090 rotate 1234567890123456789012345678901234 +24 -> 5678901234123456789012345678901234
dqrot091 rotate 1234567890123456789012345678901234 +25 -> 6789012341234567890123456789012345
dqrot092 rotate 1234567890123456789012345678901234 +26 -> 7890123412345678901234567890123456
dqrot093 rotate 1234567890123456789012345678901234 +27 -> 8901234123456789012345678901234567
dqrot094 rotate 1234567890123456789012345678901234 +28 -> 9012341234567890123456789012345678
dqrot095 rotate 1234567890123456789012345678901234 +29 -> 123412345678901234567890123456789
dqrot096 rotate 1234567890123456789012345678901234 +30 -> 1234123456789012345678901234567890
dqrot097 rotate 1234567890123456789012345678901234 +31 -> 2341234567890123456789012345678901
dqrot098 rotate 1234567890123456789012345678901234 +32 -> 3412345678901234567890123456789012
dqrot099 rotate 1234567890123456789012345678901234 +33 -> 4123456789012345678901234567890123
dqrot100 rotate 1234567890123456789012345678901234 +34 -> 1234567890123456789012345678901234
-- zeros
dqrot270 rotate 0E-10 +29 -> 0E-10
dqrot271 rotate 0E-10 -29 -> 0E-10
dqrot272 rotate 0.000 +29 -> 0.000
dqrot273 rotate 0.000 -29 -> 0.000
dqrot274 rotate 0E+10 +29 -> 0E+10
dqrot275 rotate 0E+10 -29 -> 0E+10
dqrot276 rotate -0E-10 +29 -> -0E-10
dqrot277 rotate -0E-10 -29 -> -0E-10
dqrot278 rotate -0.000 +29 -> -0.000
dqrot279 rotate -0.000 -29 -> -0.000
dqrot280 rotate -0E+10 +29 -> -0E+10
dqrot281 rotate -0E+10 -29 -> -0E+10
-- Nmax, Nmin, Ntiny
dqrot141 rotate 9.999999999999999999999999999999999E+6144 -1 -> 9.999999999999999999999999999999999E+6144
dqrot142 rotate 9.999999999999999999999999999999999E+6144 -33 -> 9.999999999999999999999999999999999E+6144
dqrot143 rotate 9.999999999999999999999999999999999E+6144 1 -> 9.999999999999999999999999999999999E+6144
dqrot144 rotate 9.999999999999999999999999999999999E+6144 33 -> 9.999999999999999999999999999999999E+6144
dqrot145 rotate 1E-6143 -1 -> 1.000000000000000000000000000000000E-6110
dqrot146 rotate 1E-6143 -33 -> 1.0E-6142
dqrot147 rotate 1E-6143 1 -> 1.0E-6142
dqrot148 rotate 1E-6143 33 -> 1.000000000000000000000000000000000E-6110
dqrot151 rotate 1.000000000000000000000000000000000E-6143 -1 -> 1.00000000000000000000000000000000E-6144
dqrot152 rotate 1.000000000000000000000000000000000E-6143 -33 -> 1E-6176
dqrot153 rotate 1.000000000000000000000000000000000E-6143 1 -> 1E-6176
dqrot154 rotate 1.000000000000000000000000000000000E-6143 33 -> 1.00000000000000000000000000000000E-6144
dqrot155 rotate 9.000000000000000000000000000000000E-6143 -1 -> 9.00000000000000000000000000000000E-6144
dqrot156 rotate 9.000000000000000000000000000000000E-6143 -33 -> 9E-6176
dqrot157 rotate 9.000000000000000000000000000000000E-6143 1 -> 9E-6176
dqrot158 rotate 9.000000000000000000000000000000000E-6143 33 -> 9.00000000000000000000000000000000E-6144
dqrot160 rotate 1E-6176 -1 -> 1.000000000000000000000000000000000E-6143
dqrot161 rotate 1E-6176 -33 -> 1.0E-6175
dqrot162 rotate 1E-6176 1 -> 1.0E-6175
dqrot163 rotate 1E-6176 33 -> 1.000000000000000000000000000000000E-6143
-- negatives
dqrot171 rotate -9.999999999999999999999999999999999E+6144 -1 -> -9.999999999999999999999999999999999E+6144
dqrot172 rotate -9.999999999999999999999999999999999E+6144 -33 -> -9.999999999999999999999999999999999E+6144
dqrot173 rotate -9.999999999999999999999999999999999E+6144 1 -> -9.999999999999999999999999999999999E+6144
dqrot174 rotate -9.999999999999999999999999999999999E+6144 33 -> -9.999999999999999999999999999999999E+6144
dqrot175 rotate -1E-6143 -1 -> -1.000000000000000000000000000000000E-6110
dqrot176 rotate -1E-6143 -33 -> -1.0E-6142
dqrot177 rotate -1E-6143 1 -> -1.0E-6142
dqrot178 rotate -1E-6143 33 -> -1.000000000000000000000000000000000E-6110
dqrot181 rotate -1.000000000000000000000000000000000E-6143 -1 -> -1.00000000000000000000000000000000E-6144
dqrot182 rotate -1.000000000000000000000000000000000E-6143 -33 -> -1E-6176
dqrot183 rotate -1.000000000000000000000000000000000E-6143 1 -> -1E-6176
dqrot184 rotate -1.000000000000000000000000000000000E-6143 33 -> -1.00000000000000000000000000000000E-6144
dqrot185 rotate -9.000000000000000000000000000000000E-6143 -1 -> -9.00000000000000000000000000000000E-6144
dqrot186 rotate -9.000000000000000000000000000000000E-6143 -33 -> -9E-6176
dqrot187 rotate -9.000000000000000000000000000000000E-6143 1 -> -9E-6176
dqrot188 rotate -9.000000000000000000000000000000000E-6143 33 -> -9.00000000000000000000000000000000E-6144
dqrot190 rotate -1E-6176 -1 -> -1.000000000000000000000000000000000E-6143
dqrot191 rotate -1E-6176 -33 -> -1.0E-6175
dqrot192 rotate -1E-6176 1 -> -1.0E-6175
dqrot193 rotate -1E-6176 33 -> -1.000000000000000000000000000000000E-6143
-- more negatives (of sanities)
dqrot201 rotate -0 0 -> -0
dqrot202 rotate -0 2 -> -0
dqrot203 rotate -1 2 -> -100
dqrot204 rotate -1 33 -> -1000000000000000000000000000000000
dqrot205 rotate -1 34 -> -1
dqrot206 rotate -1 -1 -> -1000000000000000000000000000000000
dqrot207 rotate -0 -2 -> -0
dqrot208 rotate -1234567890123456789012345678901234 -1 -> -4123456789012345678901234567890123
dqrot209 rotate -1234567890123456789012345678901234 -33 -> -2345678901234567890123456789012341
dqrot210 rotate -1234567890123456789012345678901234 -34 -> -1234567890123456789012345678901234
dqrot211 rotate -9934567890123456789012345678901234 -33 -> -9345678901234567890123456789012349
dqrot212 rotate -9934567890123456789012345678901234 -34 -> -9934567890123456789012345678901234
-- Specials; NaNs are handled as usual
dqrot781 rotate -Inf -8 -> -Infinity
dqrot782 rotate -Inf -1 -> -Infinity
dqrot783 rotate -Inf -0 -> -Infinity
dqrot784 rotate -Inf 0 -> -Infinity
dqrot785 rotate -Inf 1 -> -Infinity
dqrot786 rotate -Inf 8 -> -Infinity
dqrot787 rotate -1000 -Inf -> NaN Invalid_operation
dqrot788 rotate -Inf -Inf -> NaN Invalid_operation
dqrot789 rotate -1 -Inf -> NaN Invalid_operation
dqrot790 rotate -0 -Inf -> NaN Invalid_operation
dqrot791 rotate 0 -Inf -> NaN Invalid_operation
dqrot792 rotate 1 -Inf -> NaN Invalid_operation
dqrot793 rotate 1000 -Inf -> NaN Invalid_operation
dqrot794 rotate Inf -Inf -> NaN Invalid_operation
dqrot800 rotate Inf -Inf -> NaN Invalid_operation
dqrot801 rotate Inf -8 -> Infinity
dqrot802 rotate Inf -1 -> Infinity
dqrot803 rotate Inf -0 -> Infinity
dqrot804 rotate Inf 0 -> Infinity
dqrot805 rotate Inf 1 -> Infinity
dqrot806 rotate Inf 8 -> Infinity
dqrot807 rotate Inf Inf -> NaN Invalid_operation
dqrot808 rotate -1000 Inf -> NaN Invalid_operation
dqrot809 rotate -Inf Inf -> NaN Invalid_operation
dqrot810 rotate -1 Inf -> NaN Invalid_operation
dqrot811 rotate -0 Inf -> NaN Invalid_operation
dqrot812 rotate 0 Inf -> NaN Invalid_operation
dqrot813 rotate 1 Inf -> NaN Invalid_operation
dqrot814 rotate 1000 Inf -> NaN Invalid_operation
dqrot815 rotate Inf Inf -> NaN Invalid_operation
dqrot821 rotate NaN -Inf -> NaN
dqrot822 rotate NaN -1000 -> NaN
dqrot823 rotate NaN -1 -> NaN
dqrot824 rotate NaN -0 -> NaN
dqrot825 rotate NaN 0 -> NaN
dqrot826 rotate NaN 1 -> NaN
dqrot827 rotate NaN 1000 -> NaN
dqrot828 rotate NaN Inf -> NaN
dqrot829 rotate NaN NaN -> NaN
dqrot830 rotate -Inf NaN -> NaN
dqrot831 rotate -1000 NaN -> NaN
dqrot832 rotate -1 NaN -> NaN
dqrot833 rotate -0 NaN -> NaN
dqrot834 rotate 0 NaN -> NaN
dqrot835 rotate 1 NaN -> NaN
dqrot836 rotate 1000 NaN -> NaN
dqrot837 rotate Inf NaN -> NaN
dqrot841 rotate sNaN -Inf -> NaN Invalid_operation
dqrot842 rotate sNaN -1000 -> NaN Invalid_operation
dqrot843 rotate sNaN -1 -> NaN Invalid_operation
dqrot844 rotate sNaN -0 -> NaN Invalid_operation
dqrot845 rotate sNaN 0 -> NaN Invalid_operation
dqrot846 rotate sNaN 1 -> NaN Invalid_operation
dqrot847 rotate sNaN 1000 -> NaN Invalid_operation
dqrot848 rotate sNaN NaN -> NaN Invalid_operation
dqrot849 rotate sNaN sNaN -> NaN Invalid_operation
dqrot850 rotate NaN sNaN -> NaN Invalid_operation
dqrot851 rotate -Inf sNaN -> NaN Invalid_operation
dqrot852 rotate -1000 sNaN -> NaN Invalid_operation
dqrot853 rotate -1 sNaN -> NaN Invalid_operation
dqrot854 rotate -0 sNaN -> NaN Invalid_operation
dqrot855 rotate 0 sNaN -> NaN Invalid_operation
dqrot856 rotate 1 sNaN -> NaN Invalid_operation
dqrot857 rotate 1000 sNaN -> NaN Invalid_operation
dqrot858 rotate Inf sNaN -> NaN Invalid_operation
dqrot859 rotate NaN sNaN -> NaN Invalid_operation
-- propagating NaNs
dqrot861 rotate NaN1 -Inf -> NaN1
dqrot862 rotate +NaN2 -1000 -> NaN2
dqrot863 rotate NaN3 1000 -> NaN3
dqrot864 rotate NaN4 Inf -> NaN4
dqrot865 rotate NaN5 +NaN6 -> NaN5
dqrot866 rotate -Inf NaN7 -> NaN7
dqrot867 rotate -1000 NaN8 -> NaN8
dqrot868 rotate 1000 NaN9 -> NaN9
dqrot869 rotate Inf +NaN10 -> NaN10
dqrot871 rotate sNaN11 -Inf -> NaN11 Invalid_operation
dqrot872 rotate sNaN12 -1000 -> NaN12 Invalid_operation
dqrot873 rotate sNaN13 1000 -> NaN13 Invalid_operation
dqrot874 rotate sNaN14 NaN17 -> NaN14 Invalid_operation
dqrot875 rotate sNaN15 sNaN18 -> NaN15 Invalid_operation
dqrot876 rotate NaN16 sNaN19 -> NaN19 Invalid_operation
dqrot877 rotate -Inf +sNaN20 -> NaN20 Invalid_operation
dqrot878 rotate -1000 sNaN21 -> NaN21 Invalid_operation
dqrot879 rotate 1000 sNaN22 -> NaN22 Invalid_operation
dqrot880 rotate Inf sNaN23 -> NaN23 Invalid_operation
dqrot881 rotate +NaN25 +sNaN24 -> NaN24 Invalid_operation
dqrot882 rotate -NaN26 NaN28 -> -NaN26
dqrot883 rotate -sNaN27 sNaN29 -> -NaN27 Invalid_operation
dqrot884 rotate 1000 -NaN30 -> -NaN30
dqrot885 rotate 1000 -sNaN31 -> -NaN31 Invalid_operation
|
