blob: 8157ecd06a582d194adea710acf2c828e794461f (
plain)
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
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
|
# Data file for mpc_pow.
#
# Copyright (C) 2009, 2011, 2012 INRIA
#
# This file is part of GNU MPC.
#
# GNU MPC is free software; you can redistribute it and/or modify it under
# the terms of the GNU Lesser General Public License as published by the
# Free Software Foundation; either version 3 of the License, or (at your
#o ption) any later version.
#
# GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY
# WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
# FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
# more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with this program. If not, see http://www.gnu.org/licenses/ .
#
# For explanations on the file format, see add.dat.
0 0 53 +1 53 0 53 nan 53 +0 53 +0 53 +0 N N
0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 +1 N N
0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 -1 N N
0 0 53 nan 53 nan 53 nan 53 +0 53 +1 53 +0 N N
0 0 53 nan 53 nan 53 nan 53 +0 53 +1 53 +1 N N
0 0 53 nan 53 nan 53 nan 53 +0 53 -1 53 +0 N N
0 0 53 nan 53 nan 53 nan 53 +0 53 nan 53 +0 N N
0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 +0 N N
0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 +1 N N
0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 -1 N N
0 0 53 nan 53 nan 53 nan 53 +0 53 -inf 53 +0 N N
0 0 53 nan 53 nan 53 +inf 53 +0 53 +0 53 +1 N N
0 0 53 nan 53 nan 53 +inf 53 +0 53 +0 53 -1 N N
0 0 53 inf 53 nan 53 +inf 53 +0 53 +1 53 +0 N N
0 0 53 +inf 53 nan 53 +inf 53 +0 53 +1 53 +1 N N
0 0 53 +inf 53 nan 53 +inf 53 +0 53 +1 53 -1 N N
0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 +0 N N
0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 +1 N N
0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 -1 N N
0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 +0 N N
0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 +1 N N
0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 -1 N N
0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 +0 N N
0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 +1 N N
0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 -1 N N
0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 +0 N N
0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 +1 N N
0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 -1 N N
0 0 53 nan 53 nan 53 +inf 53 +1 53 +0 53 +1 N N
0 0 53 nan 53 nan 53 +inf 53 +1 53 +0 53 -1 N N
0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 +0 N N
0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 +1 N N
0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 -1 N N
0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 +0 N N
0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 +1 N N
0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 -1 N N
0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 +0 N N
0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 +1 N N
0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 -1 N N
0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 +0 N N
0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 +1 N N
0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 -1 N N
0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 +0 N N
0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 +1 N N
0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 -1 N N
0 0 53 nan 53 nan 53 +inf 53 -1 53 +0 53 +1 N N
0 0 53 nan 53 nan 53 +inf 53 -1 53 +0 53 -1 N N
0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 +0 N N
0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 +1 N N
0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 -1 N N
0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 +0 N N
0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 +1 N N
0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 -1 N N
0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 +0 N N
0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 +1 N N
0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 -1 N N
0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 +0 N N
0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 +1 N N
0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 -1 N N
0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 +0 N N
0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 +1 N N
0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 -1 N N
0 0 53 nan 53 nan 53 -inf 53 +0 53 +0 53 +1 N N
0 0 53 nan 53 nan 53 -inf 53 +0 53 +0 53 -1 N N
0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 +0 N N
0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 +1 N N
0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 -1 N N
0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 +0 N N
0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 +1 N N
0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 -1 N N
0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 +0 N N
0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 +1 N N
0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 -1 N N
0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 +0 N N
0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 +1 N N
0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 -1 N N
0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 +0 N N
0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 +1 N N
0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 -1 N N
0 0 53 nan 53 nan 53 -inf 53 +1 53 +0 53 +1 N N
0 0 53 nan 53 nan 53 -inf 53 +1 53 +0 53 -1 N N
0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 +0 N N
0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 +1 N N
0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 -1 N N
0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 +0 N N
0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 +1 N N
0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 -1 N N
0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 +0 N N
0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 +1 N N
0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 -1 N N
0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 +0 N N
0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 +1 N N
0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 -1 N N
0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 +0 N N
0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 +1 N N
0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 -1 N N
0 0 53 nan 53 nan 53 -inf 53 -1 53 +0 53 +1 N N
0 0 53 nan 53 nan 53 -inf 53 -1 53 +0 53 -1 N N
0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 +0 N N
0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 +1 N N
0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 -1 N N
0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 +0 N N
0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 +1 N N
0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 -1 N N
0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 +0 N N
0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 +1 N N
0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 -1 N N
0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 +0 N N
0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 +1 N N
0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 -1 N N
0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 +0 N N
0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 +1 N N
0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 -1 N N
0 0 53 1 53 +0 53 +0 53 +0 53 +0 53 +0 N N
0 0 53 1 53 +0 53 +0 53 +0 53 -0 53 +0 N N
0 0 53 1 53 +0 53 +0 53 -0 53 +0 53 +0 N N
0 0 53 1 53 +0 53 +0 53 -0 53 -0 53 +0 N N
0 0 53 1 53 +0 53 -0 53 +0 53 +0 53 +0 N N
0 0 53 1 53 +0 53 -0 53 +0 53 -0 53 +0 N N
0 0 53 1 53 +0 53 -0 53 -0 53 +0 53 +0 N N
0 0 53 1 53 +0 53 -0 53 -0 53 -0 53 +0 N N
0 0 53 1 53 +0 53 +0 53 +0 53 +0 53 -0 N N
0 0 53 1 53 +0 53 +0 53 +0 53 -0 53 -0 N N
0 0 53 1 53 +0 53 +0 53 -0 53 +0 53 -0 N N
0 0 53 1 53 +0 53 +0 53 -0 53 -0 53 -0 N N
0 0 53 1 53 +0 53 -0 53 +0 53 +0 53 -0 N N
0 0 53 1 53 +0 53 -0 53 +0 53 -0 53 -0 N N
0 0 53 1 53 +0 53 -0 53 -0 53 +0 53 -0 N N
0 0 53 1 53 +0 53 -0 53 -0 53 -0 53 -0 N N
0 0 53 nan 53 nan 53 +0 53 +0 53 +0 53 +1 N N
0 0 53 nan 53 nan 53 +0 53 +0 53 +0 53 -1 N N
0 0 53 0 53 0 53 +0 53 +0 53 +1 53 +0 N N
0 0 53 0 53 0 53 +0 53 +0 53 +1 53 +1 N N
0 0 53 0 53 0 53 +0 53 +0 53 +1 53 -1 N N
0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 +0 N N
0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 +1 N N
0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 -1 N N
0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 +0 N N
0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 +1 N N
0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 -1 N N
0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 +0 N N
0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 +1 N N
0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 -1 N N
0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 +0 N N
0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 +1 N N
0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 -1 N N
# zeros with determined sign, see algorithms.tex
# x^0 = +1 +sign(Im(x))*sign(Re(y))*0i when |x|=1
0 0 53 +1 53 +0 53 +0 53 +1 53 +0 53 +0 N N
0 0 53 +1 53 -0 53 +0 53 +1 53 +0 53 +0 N D #round toward -oo
0 0 53 +1 53 +0 53 -0 53 +1 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 -1 53 +0 53 +0 53 +0 N N
0 0 53 +1 53 -0 53 -1 53 -0 53 +0 53 +0 N N
0 0 53 +1 53 -0 53 -0 53 -1 53 +0 53 +0 N N
0 0 53 +1 53 -0 53 +0 53 -1 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 +0 53 +1 53 +0 53 -0 N N
0 0 53 +1 53 +0 53 -0 53 +1 53 +0 53 -0 N N
0 0 53 +1 53 +0 53 -1 53 +0 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 -1 53 -0 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 -0 53 -1 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 +0 53 -1 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 +0 53 +1 53 -0 53 +0 N N
0 0 53 +1 53 -0 53 -0 53 +1 53 -0 53 +0 N N
0 0 53 +1 53 -0 53 -1 53 +0 53 -0 53 +0 N N
0 0 53 +1 53 +0 53 -1 53 -0 53 -0 53 +0 N N
0 0 53 +1 53 +0 53 -0 53 -1 53 -0 53 +0 N N
0 0 53 +1 53 +0 53 +0 53 -1 53 -0 53 +0 N N
0 0 53 +1 53 -0 53 +0 53 +1 53 -0 53 -0 N N
0 0 53 +1 53 -0 53 -0 53 +1 53 -0 53 -0 N N
0 0 53 +1 53 -0 53 -1 53 +0 53 -0 53 -0 N N
0 0 53 +1 53 +0 53 -1 53 -0 53 -0 53 -0 N N
0 0 53 +1 53 +0 53 -0 53 -1 53 -0 53 -0 N N
0 0 53 +1 53 +0 53 +0 53 -1 53 -0 53 -0 N N
# x^0 = +1 +sign(Im(y))*0i when |x| > 1
0 0 53 +1 53 +0 53 +inf 53 +2 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 +inf 53 -0 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 +2 53 +inf 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 +2 53 +0 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 +0 53 +2 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 +0 53 +inf 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 -0 53 +2 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 -0 53 +inf 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 -5 53 +inf 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 -2 53 +0 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 -inf 53 +0 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 -inf 53 +3 53 +0 53 +0 N N
0 0 53 +1 53 -0 53 +inf 53 -inf 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 +inf 53 +0 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 +inf 53 -2 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 +2 53 -5 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 +5 53 +0 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 +0 53 -inf 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 -0 53 -inf 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 -5 53 -0 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 +inf 53 -0 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 +inf 53 -2 53 +0 53 -0 N N
0 0 53 +1 53 +0 53 -inf 53 -inf 53 -0 53 +0 N N
0 0 53 +1 53 +0 53 +inf 53 +0 53 -0 53 +0 N N
0 0 53 +1 53 +0 53 +2 53 -5 53 -0 53 +0 N N
0 0 53 +1 53 +0 53 +5 53 +0 53 -0 53 +0 N N
0 0 53 +1 53 +0 53 +5 53 -0 53 -0 53 +0 N N
0 0 53 +1 53 +0 53 +0 53 -2 53 -0 53 +0 N N
0 0 53 +1 53 +0 53 -0 53 -2 53 -0 53 +0 N N
0 0 53 +1 53 +0 53 -5 53 -0 53 -0 53 +0 N N
0 0 53 +1 53 +0 53 -inf 53 -0 53 -0 53 +0 N N
0 0 53 +1 53 -0 53 +inf 53 +inf 53 -0 53 -0 N N
0 0 53 +1 53 -0 53 +2 53 +5 53 -0 53 -0 N N
0 0 53 +1 53 -0 53 +2 53 +0 53 -0 53 -0 N N
0 0 53 +1 53 -0 53 +2 53 -0 53 -0 53 -0 N N
0 0 53 +1 53 -0 53 +0 53 +2 53 -0 53 -0 N N
0 0 53 +1 53 -0 53 -0 53 +2 53 -0 53 -0 N N
0 0 53 +1 53 -0 53 -5 53 +2 53 -0 53 -0 N N
0 0 53 +1 53 -0 53 -5 53 +0 53 -0 53 -0 N N
0 0 53 +1 53 -0 53 -inf 53 +inf 53 -0 53 -0 N N
0 0 53 +1 53 -0 53 -inf 53 +inf 53 -0 53 -0 N N
# x^0 = +1 -sign(Im(y))*0i when 1 > |x| > 0
0 0 53 +1 53 -0 53 +0.5 53 -0.5 53 +0 53 +0 N N
0 0 53 +1 53 -0 53 +0.5 53 +0 53 +0 53 +0 N N
0 0 53 +1 53 -0 53 +0.5 53 -0 53 +0 53 +0 N N
0 0 53 +1 53 -0 53 -0.5 53 -0 53 +0 53 +0 N N
0 0 53 +1 53 -0 53 +0 53 -0.5 53 +0 53 +0 N N
0 0 53 +1 53 -0 53 -0 53 -0.5 53 +0 53 +0 N N
0 0 53 +1 53 +0 53 +0.5 53 +0.5 53 +0 53 -0 N N
0 0 53 +1 53 +0 53 +0.5 53 +0 53 +0 53 -0 N N
0 0 53 +1 53 +0 53 +0.5 53 -0 53 +0 53 -0 N N
0 0 53 +1 53 +0 53 -0.5 53 +0 53 +0 53 -0 N N
0 0 53 +1 53 +0 53 +0 53 +0.5 53 +0 53 -0 N N
0 0 53 +1 53 +0 53 -0 53 +0.5 53 +0 53 -0 N N
0 0 53 +1 53 -0 53 +0.5 53 +0.5 53 -0 53 +0 N N
0 0 53 +1 53 -0 53 +0.5 53 +0 53 -0 53 +0 N N
0 0 53 +1 53 -0 53 +0.5 53 -0 53 -0 53 +0 N N
0 0 53 +1 53 -0 53 -0.5 53 -0 53 -0 53 +0 N N
0 0 53 +1 53 -0 53 +0 53 +0.5 53 -0 53 +0 N N
0 0 53 +1 53 -0 53 -0 53 +0.5 53 -0 53 +0 N N
0 0 53 +1 53 +0 53 +0.5 53 -0.5 53 -0 53 -0 N N
0 0 53 +1 53 +0 53 +0.5 53 +0 53 -0 53 -0 N N
0 0 53 +1 53 +0 53 +0.5 53 -0 53 -0 53 -0 N N
0 0 53 +1 53 +0 53 -0.5 53 -0 53 -0 53 -0 N N
0 0 53 +1 53 +0 53 +0 53 -0.5 53 -0 53 -0 N N
0 0 53 +1 53 +0 53 -0 53 -0.5 53 -0 53 -0 N N
# determined sign of imaginary part in pure real powers
0 0 53 +9 53 +0 53 +3 53 +0 53 +2 53 +0 N N
0 0 53 +9 53 -0 53 +3 53 -0 53 +2 53 -0 N N
0 0 53 0.25 53 +0 53 +2 53 -0 53 -2 53 +0 N N
0 0 53 0.25 53 -0 53 +2 53 +0 53 -2 53 -0 N N
0 0 53 +1 53 +0 53 +1 53 +0 53 +4 53 +0 N N
0 0 53 +1 53 +0 53 +1 53 +0 53 +4 53 -0 N N
0 0 53 +1 53 -0 53 +1 53 -0 53 +4 53 +0 N N
0 0 53 +1 53 -0 53 +1 53 -0 53 +4 53 -0 N N
0 0 53 +1 53 +0 53 +1 53 -0 53 -4 53 +0 N N
0 0 53 +1 53 +0 53 +1 53 -0 53 -4 53 -0 N N
0 0 53 +1 53 -0 53 +1 53 +0 53 -4 53 +0 N N
0 0 53 +1 53 -0 53 +1 53 +0 53 -4 53 -0 N N
0 0 53 0.25 53 +0 53 +0.5 53 +0 53 +2 53 -0 N N
0 0 53 0.25 53 -0 53 +0.5 53 -0 53 +2 53 +0 N N
0 0 53 +4 53 +0 53 +0.5 53 -0 53 -2 53 -0 N N
0 0 53 +4 53 -0 53 +0.5 53 +0 53 -2 53 +0 N N
# pure real power with nondetermined sign in imaginary part
0 0 53 1 53 0 53 +2 53 -1 53 +0 53 +0 N N
0 0 53 1 53 0 53 -2 53 -1 53 +0 53 +0 N N
0 0 53 1 53 0 53 -2 53 -0 53 +0 53 +0 N N
0 0 53 1 53 0 53 +0.5 53 +0.5 53 +0 53 +0 N N
0 0 53 1 53 0 53 -0.5 53 +0.5 53 +0 53 +0 N N
0 0 53 1 53 0 53 -0.5 53 +0 53 +0 53 +0 N N
0 0 53 1 53 0 53 +0 53 +0.5 53 +0 53 +0 N N
0 0 53 1 53 0 53 -0 53 +0.5 53 +0 53 +0 N N
0 0 53 1 53 0 53 -0 53 -4 53 +0 53 +0 N N
0 0 53 1 53 0 53 +0 53 -4 53 +0 53 +0 N N
0 0 53 1 53 0 53 -1 53 -0 53 +0 53 +0 N N
0 0 53 1 53 0 53 -1 53 +0 53 +0 53 +0 N N
0 0 53 1 53 0 53 +2 53 -1 53 -0 53 -0 N N
0 0 53 1 53 0 53 -2 53 -1 53 -0 53 -0 N N
0 0 53 1 53 0 53 -2 53 -0 53 -0 53 -0 N N
0 0 53 1 53 0 53 +0.5 53 +0.5 53 -0 53 -0 N N
0 0 53 1 53 0 53 -0.5 53 +0.5 53 -0 53 -0 N N
0 0 53 1 53 0 53 -0.5 53 +0 53 -0 53 -0 N N
0 0 53 1 53 0 53 +0 53 +0.5 53 -0 53 -0 N N
0 0 53 1 53 0 53 -0 53 +0.5 53 -0 53 -0 N N
0 0 53 1 53 0 53 -0 53 -4 53 -0 53 -0 N N
0 0 53 1 53 0 53 +0 53 -4 53 -0 53 -0 N N
0 0 53 1 53 0 53 -1 53 -0 53 -0 53 -0 N N
0 0 53 1 53 0 53 -1 53 +0 53 -0 53 -0 N N
0 0 53 1 53 0 53 +2 53 +1 53 -0 53 +0 N N
0 0 53 1 53 0 53 -2 53 +1 53 -0 53 +0 N N
0 0 53 1 53 0 53 -2 53 +0 53 -0 53 +0 N N
0 0 53 1 53 0 53 +0.5 53 -0.5 53 -0 53 +0 N N
0 0 53 1 53 0 53 -0.5 53 -0.5 53 -0 53 +0 N N
0 0 53 1 53 0 53 -0.5 53 -0 53 -0 53 +0 N N
0 0 53 1 53 0 53 +0 53 +5 53 -0 53 +0 N N
0 0 53 1 53 0 53 -0 53 +5 53 -0 53 +0 N N
0 0 53 1 53 0 53 -0 53 -0.5 53 -0 53 +0 N N
0 0 53 1 53 0 53 +0 53 -0.5 53 -0 53 +0 N N
0 0 53 1 53 0 53 -1 53 -0 53 -0 53 +0 N N
0 0 53 1 53 0 53 -1 53 +0 53 -0 53 +0 N N
0 0 53 1 53 0 53 +2 53 +1 53 +0 53 -0 N N
0 0 53 1 53 0 53 -2 53 +1 53 +0 53 -0 N N
0 0 53 1 53 0 53 -2 53 +0 53 +0 53 -0 N N
0 0 53 1 53 0 53 +0.5 53 -0.5 53 +0 53 -0 N N
0 0 53 1 53 0 53 -0.5 53 -0.5 53 +0 53 -0 N N
0 0 53 1 53 0 53 -0.5 53 -0 53 +0 53 -0 N N
0 0 53 1 53 0 53 +0 53 +5 53 +0 53 -0 N N
0 0 53 1 53 0 53 -0 53 +5 53 +0 53 -0 N N
0 0 53 1 53 0 53 -0 53 -0.5 53 +0 53 -0 N N
0 0 53 1 53 0 53 +0 53 -0.5 53 +0 53 -0 N N
0 0 53 1 53 0 53 -1 53 -0 53 +0 53 -0 N N
0 0 53 1 53 0 53 -1 53 +0 53 +0 53 -0 N N
0 0 53 4 53 0 53 +2 53 -0 53 +2 53 +0 N N
0 0 53 1 53 0 53 +1 53 +0 53 +2 53 +0 N N
0 0 53 1 53 0 53 +1 53 +0 53 +2 53 -0 N N
0 0 53 4 53 0 53 +2 53 +0 53 +2 53 -0 N N
0 0 53 1 53 0 53 +1 53 -0 53 +2 53 +0 N N
0 0 53 1 53 0 53 +1 53 -0 53 +2 53 -0 N N
0 0 53 +.25 53 0 53 +2 53 +0 53 -2 53 +0 N N
0 0 53 1 53 0 53 +1 53 +0 53 -2 53 +0 N N
0 0 53 1 53 0 53 +1 53 +0 53 -2 53 -0 N N
0 0 53 +.25 53 0 53 +2 53 -0 53 -2 53 -0 N N
0 0 53 1 53 0 53 +1 53 -0 53 -2 53 +0 N N
0 0 53 1 53 0 53 +1 53 -0 53 -2 53 -0 N N
# when (+/-1 +/-0i)^y is pure real
0 0 53 1 53 0 53 +1 53 -0 53 -2 53 +1 N N
0 0 53 1 53 0 53 +1 53 -0 53 -1 53 +2 N N
0 0 53 1 53 0 53 +1 53 -0 53 -0 53 +1 N N
- 0 53 +0x10BBEEE9177E19p-43 53 0 53 -1 53 -0 53 -0 53 +2 N N
+ 0 53 +0x1E989F5D6DFF5Cp-62 53 0 53 -1 53 +0 53 +0 53 +2 N N
0 0 53 1 53 0 53 +1 53 +0 53 +0 53 +2 N N
0 0 53 1 53 0 53 +1 53 +0 53 +2 53 +2 N N
0 0 53 1 53 0 53 +1 53 +0 53 +0 53 +2 N N
0 0 53 1 53 0 53 +1 53 +0 53 -1 53 -1 N N
0 0 53 1 53 0 53 +1 53 +0 53 -0 53 -1 N N
+ 0 53 +0x1724046EB0933Ap-48 53 0 53 -1 53 +0 53 -0 53 -1 N N
0 0 53 1 53 0 53 +1 53 -0 53 +0 53 -1 N N
+ 0 53 +0x1620227B598EF9p-57 53 0 53 -1 53 -0 53 +0 53 -1 N N
0 0 53 1 53 0 53 +1 53 -0 53 +2 53 -3 N N
+ 0 53 +0x1D4102BC3F7D4Cp-71 53 0 53 -1 53 +0 53 +0 53 +4 N N
+ 0 53 +0x1724046EB0933Ap-48 53 0 53 -1 53 -0 53 -0 53 +1 N N
# when (0 +/-i)^y is pure real
+ 0 53 +0x1724046EB0933Ap-48 53 0 53 -0 53 -1 53 -0 53 +2 N N
- 0 53 +0x1BD4567B975381p-46 53 0 53 +0 53 -1 53 -0 53 +3 N N
+ 0 53 +0x1620227B598EF9p-57 53 0 53 +0 53 +1 53 +0 53 +2 N N
- 0 53 +0x1265D4E92B6B9Bp-59 53 0 53 -0 53 +1 53 +0 53 +3 N N
+ 0 53 +0x1724046EB0933Ap-48 53 0 53 +0 53 +1 53 -0 53 -2 N N
- 0 53 +0x1BD4567B975381p-46 53 0 53 -0 53 +1 53 -0 53 -3 N N
- 0 53 +0x1A9BCC46F767DFp-55 53 0 53 +0 53 -1 53 +0 53 -1 N N
+ 0 53 +0x1620227B598EF9p-57 53 0 53 -0 53 -1 53 +0 53 -2 N N
# exact cases
# (-1)^(1/2) = i
0 0 2 0 2 1 2 -1 2 0 2 0x1p-1 2 0 N N
# (-4)^(1/4) = 1+i
0 0 2 1 2 1 2 -4 2 0 2 0x1p-2 2 0 N N
# for an odd positive integer n, a positive integer m and an integer e:
# (-4 m^4 16^e)^(n/4) = (1+i)^n m^n 2^(e n)
# m=3 e=5 n=7
0 0 12 0x88Bp38 12 -0x88Bp38 7 -0x51p22 7 0 3 0x7p-2 3 0 N N
# (-4 16^e)^(-n/4) = (1-i)^n 2^(- (e+1) n)
# e=3 n=5
0 0 2 -0x1p-18 2 0x1p-18 2 -0x1p14 2 0 3 -0x5p-2 3 0 N N
# e=2 n=5
0 0 2 -0x1p-13 2 0x1p-13 2 -0x1p10 2 0 3 -0x5p-2 3 0 N N
# (+2 +0)^(-3 -0) -> (-1/8 -0)
# x = 2 + epsilon*i, y = -3 - delta*i
# log(x) = log(2) + epsilon/2*i + O(epsilon^2)
# y*log(x) = [-3*log(2) + o(1)] + [-3*epsilon/2-delta*log(2)]*i
0 0 2 0x1p-3 2 -0 2 2 2 +0 2 -3 2 -0 N N
# (-2 -0)^(3 +0) -> (-8 -0)
# x = -2 - epsilon*i, y = 3 + delta*i
# log(x) = log(2) - [Pi-epsilon/2]*i + O(epsilon^2)
# y*log(x) ~ 3*log(2) + [-3*Pi+3*epsilon/2+delta*log(2)]*i
0 0 2 -8 2 -0 2 -2 2 -0 2 3 2 +0 N N
# (-2 -0)^(-3 -0) -> (-1/8 +0)
# x = -2 - epsilon*i, y = -3 - delta*i
# log(x) = log(2) - [Pi-epsilon/2]*i + O(epsilon^2)
# y*log(x) ~ -3*log(2) + [3*Pi-3*epsilon/2-delta*log(2)]*i
0 0 2 -0x1p-3 2 +0 2 -2 2 -0 2 -3 2 -0 N N
0 0 2 +0 2 -2 2 +0 2 0x1p-1 2 -1 2 -0 N N
0 0 2 +0 2 -2 2 +0 2 0x1p-1 65 -1 2 -0 N N
+ + 2 -0x3p-64 2 -2 2 +0 2 0x1p-1 65 -0x10000000000000001p-64 2 -0 N N
0 - 2 +0 3 -5 2 +0 53 0xCCCCCCCCCCCCDp-54 2 -1 2 -0 N N
# undefined zero sign in result
- 0 5 -25 2 0 2 +0 53 0xCCCCCCCCCCCCDp-54 2 -2 2 -0 N N
- - 53 -0x85649E3220691p-63 53 -0x14A25D455A9D0Dp-60 3 5 2 3 2 -3 2 +0 N N
+ 0 53 0xABCC77118461Dp-74 2 +0 3 5 3 5 2 -8 2 +0 N N
+ 0 53 -0x127DB86014739Dp-93 2 -0 2 -1 2 -0 2 1 4 -9 N N
+ + 24 0xC1F98Dp-21 24 0x12FF89p-2 24 -7 24 +0 24 0xCFFFF3p-21 24 +0 N N
# underflow case
- - 24 +0 24 +0 24 2 24 0x44CCCDp-20 24 -0x7FFFF200 24 -0x7FFFF200 N N
- 0 53 0x14D55AFA6E0BB0p210433620 53 0 53 +0 53 0x44CCCCFFFFFFFp-48 53 0x5F5E100 53 +0 N N
- 0 53 0x14D55B174EE67Ep210433620 53 0 53 +0 53 0x44CCCDp-20 53 0x5F5E100 53 +0 N N
0 0 24 -10 24 198 24 5 24 3 24 3 24 +0 N N
+ - 113 0x1731C86FF8E8C7D80C8F1C83460B7p-38951 113 0x1CE5ECB8E88C769AF45FA662568CFp-38950 113 2 113 0x11333333333333333333333333333p-110 113 -10000 113 10000 N N
- - 652 0x8E0380781E0124C92903E153123260CEF2C8821EDEC1D518A270FD55720DB5114D3D72CEE0E51CCEAA532FC6DA983707E66AE0E1A5E116D72AF5F2420D8402BE3E7FF03658E7ADFE2667C67291D74877383p-651 652 -0xB5FECD07C42E7AEE5A3489729B566DB4C6284C575E281585B0BFA711859D178BD8B07352B58BF615DD2DEC68798F0D2A644D5D18149D12BC53F851C5908F1EDE1C71F2B8D4934B1CE932AB94C0B8AE54C73p-665 163 0x5E9BDCC756D1E864413EA56F2A35C6D7D58DD117Bp-158 163 -0xE6BCC7A0E6EC5F2B1CBCF2707D829C2CB1A56FCFp-164 163 0x21A13BA8E157F23649FC27B031EAA12B826FB7E9Dp-166 163 0 N N
0 0 2 0 2 1 2 -1 2 0 2 0x1p-1 2 0 N N
+ + 2 -0x3p-65 2 1 2 -1 2 0 65 0x10000000000000001p-65 2 0 N N
0 0 2 1 2 +0 65 0x10000000000000001p-64 2 +0 2 +0 2 +0 N N
0 0 2 1 2 -0 65 0xFFFFFFFFFFFFFFFFp-64 2 +0 2 +0 2 +0 N N
0 + 2 +0 2 0.75 2 -0.5 2 0 2 0.5 2 0 N N
0 0 2 0 2 2 2 1 2 1 2 2 2 +0 N N
# I^2 = -1
0 0 2 -1 2 +0 2 +0 2 1 2 2 2 +0 N N
+ 0 2 -1 2 +0 2 +0 65 0x10000000000000001p-64 2 2 2 +0 N N
# overflow cases
- - 2 -inf 2 -inf 2 3 2 1 28 744261116 2 +0 N N
- + 2 -inf 2 +inf 2 3 2 -1 28 744261116 2 +0 N N
+ + 2 +inf 2 +inf 2 4 2 3 28 744261116 2 +0 N N
+ - 2 +inf 2 -inf 2 4 2 -3 28 744261116 2 +0 N N
# underflow cases
+ - 2 -0 2 +0 2 3 2 1 28 -744261116 2 +0 N N
+ + 2 -0 2 -0 2 3 2 -1 28 -744261116 2 +0 N N
- + 2 +0 2 -0 2 4 2 3 28 -744261116 2 +0 N N
- - 2 +0 2 +0 2 4 2 -3 28 -744261116 2 +0 N N
# exact powers with non-integer exponent
0 0 2 1 2 1 2 0 2 2 2 0.5 2 0 N N
0 0 2 -2 2 2 2 0 2 2 2 1.5 2 0 N N
0 0 2 1 2 64 12 -4095 2 128 2 0.5 2 0 N N
0 0 3 5 2 3 2 16 4 30 2 0.5 2 0 N N
0 0 7 97 7 99 6 -392 14 19206 2 0.5 2 0 N N
0 0 6 63 6 61 5 248 18 7686 2 0.5 2 0 N N
0 0 6 63 6 61 24 -59013092 17 3812256 2 0.25 2 0 N N
0 + 2 0 2 0x3p-6 2 -1 2 0 2 0.5 2 1 N N
+ + 2 6 2 1 41 -0x2ce019e6f1e 36 0x1878418ba20 2 0.0625 2 0 N N
+ + 4 11 2 1 111 -0x73558286726957f922819cbeffff 109 0x1c484a8b32dbf409e966a8c00000 2 0x1p-5 2 0 N N
+ + 5 21 2 1 282 -0x24ea91ddba938e750d999f1075444e15d6ca0fff6a19c8cbefe6260261fd57effffffff 278 0x390aa828a3d933391ab999b0b0aa71aafbfc7b127fe30c84d107634940ba8000000000 2 0x1p-6 2 0 N N
+ - 53 0x7f661e2bd0db5p-51 53 0xc63ee1a1c4d19p-55 2 0x1p1000 2 0 2 0 2 0x1p1000 N N
|
