summaryrefslogtreecommitdiffstats
path: root/Lib/test/test_int.py
blob: e4cac0cc7411bfe2028bb9c4580b266eca22169c (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
import sys

import unittest
from test.test_support import run_unittest, have_unicode
import math

L = [
        ('0', 0),
        ('1', 1),
        ('9', 9),
        ('10', 10),
        ('99', 99),
        ('100', 100),
        ('314', 314),
        (' 314', 314),
        ('314 ', 314),
        ('  \t\t  314  \t\t  ', 314),
        (repr(sys.maxint), sys.maxint),
        ('  1x', ValueError),
        ('  1  ', 1),
        ('  1\02  ', ValueError),
        ('', ValueError),
        (' ', ValueError),
        ('  \t\t  ', ValueError)
]
if have_unicode:
    L += [
        (unicode('0'), 0),
        (unicode('1'), 1),
        (unicode('9'), 9),
        (unicode('10'), 10),
        (unicode('99'), 99),
        (unicode('100'), 100),
        (unicode('314'), 314),
        (unicode(' 314'), 314),
        (unicode('\u0663\u0661\u0664 ','raw-unicode-escape'), 314),
        (unicode('  \t\t  314  \t\t  '), 314),
        (unicode('  1x'), ValueError),
        (unicode('  1  '), 1),
        (unicode('  1\02  '), ValueError),
        (unicode(''), ValueError),
        (unicode(' '), ValueError),
        (unicode('  \t\t  '), ValueError),
        (unichr(0x200), ValueError),
]

class IntTestCases(unittest.TestCase):

    def test_basic(self):
        self.assertEqual(int(314), 314)
        self.assertEqual(int(3.14), 3)
        self.assertEqual(int(314L), 314)
        # Check that conversion from float truncates towards zero
        self.assertEqual(int(-3.14), -3)
        self.assertEqual(int(3.9), 3)
        self.assertEqual(int(-3.9), -3)
        self.assertEqual(int(3.5), 3)
        self.assertEqual(int(-3.5), -3)
        # Different base:
        self.assertEqual(int("10",16), 16L)
        if have_unicode:
            self.assertEqual(int(unicode("10"),16), 16L)
        # Test conversion from strings and various anomalies
        for s, v in L:
            for sign in "", "+", "-":
                for prefix in "", " ", "\t", "  \t\t  ":
                    ss = prefix + sign + s
                    vv = v
                    if sign == "-" and v is not ValueError:
                        vv = -v
                    try:
                        self.assertEqual(int(ss), vv)
                    except v:
                        pass

        s = repr(-1-sys.maxint)
        x = int(s)
        self.assertEqual(x+1, -sys.maxint)
        self.assertTrue(isinstance(x, int))
        # should return long
        self.assertEqual(int(s[1:]), sys.maxint+1)

        # should return long
        x = int(1e100)
        self.assertTrue(isinstance(x, long))
        x = int(-1e100)
        self.assertTrue(isinstance(x, long))


        # SF bug 434186:  0x80000000/2 != 0x80000000>>1.
        # Worked by accident in Windows release build, but failed in debug build.
        # Failed in all Linux builds.
        x = -1-sys.maxint
        self.assertEqual(x >> 1, x//2)

        self.assertRaises(ValueError, int, '123\0')
        self.assertRaises(ValueError, int, '53', 40)

        # SF bug 1545497: embedded NULs were not detected with
        # explicit base
        self.assertRaises(ValueError, int, '123\0', 10)
        self.assertRaises(ValueError, int, '123\x00 245', 20)

        x = int('1' * 600)
        self.assertTrue(isinstance(x, long))

        if have_unicode:
            x = int(unichr(0x661) * 600)
            self.assertTrue(isinstance(x, long))

        self.assertRaises(TypeError, int, 1, 12)

        self.assertEqual(int('0123', 0), 83)
        self.assertEqual(int('0x123', 16), 291)

        # Bug 1679: "0x" is not a valid hex literal
        self.assertRaises(ValueError, int, "0x", 16)
        self.assertRaises(ValueError, int, "0x", 0)

        self.assertRaises(ValueError, int, "0o", 8)
        self.assertRaises(ValueError, int, "0o", 0)

        self.assertRaises(ValueError, int, "0b", 2)
        self.assertRaises(ValueError, int, "0b", 0)


        # SF bug 1334662: int(string, base) wrong answers
        # Various representations of 2**32 evaluated to 0
        # rather than 2**32 in previous versions

        self.assertEqual(int('100000000000000000000000000000000', 2), 4294967296L)
        self.assertEqual(int('102002022201221111211', 3), 4294967296L)
        self.assertEqual(int('10000000000000000', 4), 4294967296L)
        self.assertEqual(int('32244002423141', 5), 4294967296L)
        self.assertEqual(int('1550104015504', 6), 4294967296L)
        self.assertEqual(int('211301422354', 7), 4294967296L)
        self.assertEqual(int('40000000000', 8), 4294967296L)
        self.assertEqual(int('12068657454', 9), 4294967296L)
        self.assertEqual(int('4294967296', 10), 4294967296L)
        self.assertEqual(int('1904440554', 11), 4294967296L)
        self.assertEqual(int('9ba461594', 12), 4294967296L)
        self.assertEqual(int('535a79889', 13), 4294967296L)
        self.assertEqual(int('2ca5b7464', 14), 4294967296L)
        self.assertEqual(int('1a20dcd81', 15), 4294967296L)
        self.assertEqual(int('100000000', 16), 4294967296L)
        self.assertEqual(int('a7ffda91', 17), 4294967296L)
        self.assertEqual(int('704he7g4', 18), 4294967296L)
        self.assertEqual(int('4f5aff66', 19), 4294967296L)
        self.assertEqual(int('3723ai4g', 20), 4294967296L)
        self.assertEqual(int('281d55i4', 21), 4294967296L)
        self.assertEqual(int('1fj8b184', 22), 4294967296L)
        self.assertEqual(int('1606k7ic', 23), 4294967296L)
        self.assertEqual(int('mb994ag', 24), 4294967296L)
        self.assertEqual(int('hek2mgl', 25), 4294967296L)
        self.assertEqual(int('dnchbnm', 26), 4294967296L)
        self.assertEqual(int('b28jpdm', 27), 4294967296L)
        self.assertEqual(int('8pfgih4', 28), 4294967296L)
        self.assertEqual(int('76beigg', 29), 4294967296L)
        self.assertEqual(int('5qmcpqg', 30), 4294967296L)
        self.assertEqual(int('4q0jto4', 31), 4294967296L)
        self.assertEqual(int('4000000', 32), 4294967296L)
        self.assertEqual(int('3aokq94', 33), 4294967296L)
        self.assertEqual(int('2qhxjli', 34), 4294967296L)
        self.assertEqual(int('2br45qb', 35), 4294967296L)
        self.assertEqual(int('1z141z4', 36), 4294967296L)

        # tests with base 0
        # this fails on 3.0, but in 2.x the old octal syntax is allowed
        self.assertEqual(int(' 0123  ', 0), 83)
        self.assertEqual(int(' 0123  ', 0), 83)
        self.assertEqual(int('000', 0), 0)
        self.assertEqual(int('0o123', 0), 83)
        self.assertEqual(int('0x123', 0), 291)
        self.assertEqual(int('0b100', 0), 4)
        self.assertEqual(int(' 0O123   ', 0), 83)
        self.assertEqual(int(' 0X123  ', 0), 291)
        self.assertEqual(int(' 0B100 ', 0), 4)

        # without base still base 10
        self.assertEqual(int('0123'), 123)
        self.assertEqual(int('0123', 10), 123)

        # tests with prefix and base != 0
        self.assertEqual(int('0x123', 16), 291)
        self.assertEqual(int('0o123', 8), 83)
        self.assertEqual(int('0b100', 2), 4)
        self.assertEqual(int('0X123', 16), 291)
        self.assertEqual(int('0O123', 8), 83)
        self.assertEqual(int('0B100', 2), 4)

        # the code has special checks for the first character after the
        #  type prefix
        self.assertRaises(ValueError, int, '0b2', 2)
        self.assertRaises(ValueError, int, '0b02', 2)
        self.assertRaises(ValueError, int, '0B2', 2)
        self.assertRaises(ValueError, int, '0B02', 2)
        self.assertRaises(ValueError, int, '0o8', 8)
        self.assertRaises(ValueError, int, '0o08', 8)
        self.assertRaises(ValueError, int, '0O8', 8)
        self.assertRaises(ValueError, int, '0O08', 8)
        self.assertRaises(ValueError, int, '0xg', 16)
        self.assertRaises(ValueError, int, '0x0g', 16)
        self.assertRaises(ValueError, int, '0Xg', 16)
        self.assertRaises(ValueError, int, '0X0g', 16)

        # SF bug 1334662: int(string, base) wrong answers
        # Checks for proper evaluation of 2**32 + 1
        self.assertEqual(int('100000000000000000000000000000001', 2), 4294967297L)
        self.assertEqual(int('102002022201221111212', 3), 4294967297L)
        self.assertEqual(int('10000000000000001', 4), 4294967297L)
        self.assertEqual(int('32244002423142', 5), 4294967297L)
        self.assertEqual(int('1550104015505', 6), 4294967297L)
        self.assertEqual(int('211301422355', 7), 4294967297L)
        self.assertEqual(int('40000000001', 8), 4294967297L)
        self.assertEqual(int('12068657455', 9), 4294967297L)
        self.assertEqual(int('4294967297', 10), 4294967297L)
        self.assertEqual(int('1904440555', 11), 4294967297L)
        self.assertEqual(int('9ba461595', 12), 4294967297L)
        self.assertEqual(int('535a7988a', 13), 4294967297L)
        self.assertEqual(int('2ca5b7465', 14), 4294967297L)
        self.assertEqual(int('1a20dcd82', 15), 4294967297L)
        self.assertEqual(int('100000001', 16), 4294967297L)
        self.assertEqual(int('a7ffda92', 17), 4294967297L)
        self.assertEqual(int('704he7g5', 18), 4294967297L)
        self.assertEqual(int('4f5aff67', 19), 4294967297L)
        self.assertEqual(int('3723ai4h', 20), 4294967297L)
        self.assertEqual(int('281d55i5', 21), 4294967297L)
        self.assertEqual(int('1fj8b185', 22), 4294967297L)
        self.assertEqual(int('1606k7id', 23), 4294967297L)
        self.assertEqual(int('mb994ah', 24), 4294967297L)
        self.assertEqual(int('hek2mgm', 25), 4294967297L)
        self.assertEqual(int('dnchbnn', 26), 4294967297L)
        self.assertEqual(int('b28jpdn', 27), 4294967297L)
        self.assertEqual(int('8pfgih5', 28), 4294967297L)
        self.assertEqual(int('76beigh', 29), 4294967297L)
        self.assertEqual(int('5qmcpqh', 30), 4294967297L)
        self.assertEqual(int('4q0jto5', 31), 4294967297L)
        self.assertEqual(int('4000001', 32), 4294967297L)
        self.assertEqual(int('3aokq95', 33), 4294967297L)
        self.assertEqual(int('2qhxjlj', 34), 4294967297L)
        self.assertEqual(int('2br45qc', 35), 4294967297L)
        self.assertEqual(int('1z141z5', 36), 4294967297L)

    def test_bit_length(self):
        tiny = 1e-10
        for x in xrange(-65000, 65000):
            k = x.bit_length()
            # Check equivalence with Python version
            self.assertEqual(k, len(bin(x).lstrip('-0b')))
            # Behaviour as specified in the docs
            if x != 0:
                self.assertTrue(2**(k-1) <= abs(x) < 2**k)
            else:
                self.assertEqual(k, 0)
            # Alternative definition: x.bit_length() == 1 + floor(log_2(x))
            if x != 0:
                # When x is an exact power of 2, numeric errors can
                # cause floor(log(x)/log(2)) to be one too small; for
                # small x this can be fixed by adding a small quantity
                # to the quotient before taking the floor.
                self.assertEqual(k, 1 + math.floor(
                        math.log(abs(x))/math.log(2) + tiny))

        self.assertEqual((0).bit_length(), 0)
        self.assertEqual((1).bit_length(), 1)
        self.assertEqual((-1).bit_length(), 1)
        self.assertEqual((2).bit_length(), 2)
        self.assertEqual((-2).bit_length(), 2)
        for i in [2, 3, 15, 16, 17, 31, 32, 33, 63, 64]:
            a = 2**i
            self.assertEqual((a-1).bit_length(), i)
            self.assertEqual((1-a).bit_length(), i)
            self.assertEqual((a).bit_length(), i+1)
            self.assertEqual((-a).bit_length(), i+1)
            self.assertEqual((a+1).bit_length(), i+1)
            self.assertEqual((-a-1).bit_length(), i+1)

    @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"),
                         "test requires IEEE 754 doubles")
    def test_float_conversion(self):
        # values exactly representable as floats
        exact_values = [-2, -1, 0, 1, 2, 2**52, 2**53-1, 2**53, 2**53+2,
                         2**53+4, 2**54-4, 2**54-2, 2**63, -2**63, 2**64,
                         -2**64, 10**20, 10**21, 10**22]
        for value in exact_values:
            self.assertEqual(int(float(int(value))), value)

        # test round-half-to-even
        self.assertEqual(int(float(2**53+1)), 2**53)
        self.assertEqual(int(float(2**53+2)), 2**53+2)
        self.assertEqual(int(float(2**53+3)), 2**53+4)
        self.assertEqual(int(float(2**53+5)), 2**53+4)
        self.assertEqual(int(float(2**53+6)), 2**53+6)
        self.assertEqual(int(float(2**53+7)), 2**53+8)

        self.assertEqual(int(float(-2**53-1)), -2**53)
        self.assertEqual(int(float(-2**53-2)), -2**53-2)
        self.assertEqual(int(float(-2**53-3)), -2**53-4)
        self.assertEqual(int(float(-2**53-5)), -2**53-4)
        self.assertEqual(int(float(-2**53-6)), -2**53-6)
        self.assertEqual(int(float(-2**53-7)), -2**53-8)

        self.assertEqual(int(float(2**54-2)), 2**54-2)
        self.assertEqual(int(float(2**54-1)), 2**54)
        self.assertEqual(int(float(2**54+2)), 2**54)
        self.assertEqual(int(float(2**54+3)), 2**54+4)
        self.assertEqual(int(float(2**54+5)), 2**54+4)
        self.assertEqual(int(float(2**54+6)), 2**54+8)
        self.assertEqual(int(float(2**54+10)), 2**54+8)
        self.assertEqual(int(float(2**54+11)), 2**54+12)

    def test_intconversion(self):
        # Test __int__()
        class ClassicMissingMethods:
            pass
        self.assertRaises(AttributeError, int, ClassicMissingMethods())

        class MissingMethods(object):
            pass
        self.assertRaises(TypeError, int, MissingMethods())

        class Foo0:
            def __int__(self):
                return 42

        class Foo1(object):
            def __int__(self):
                return 42

        class Foo2(int):
            def __int__(self):
                return 42

        class Foo3(int):
            def __int__(self):
                return self

        class Foo4(int):
            def __int__(self):
                return 42L

        class Foo5(int):
            def __int__(self):
                return 42.

        self.assertEqual(int(Foo0()), 42)
        self.assertEqual(int(Foo1()), 42)
        self.assertEqual(int(Foo2()), 42)
        self.assertEqual(int(Foo3()), 0)
        self.assertEqual(int(Foo4()), 42L)
        self.assertRaises(TypeError, int, Foo5())

        class Classic:
            pass
        for base in (object, Classic):
            class IntOverridesTrunc(base):
                def __int__(self):
                    return 42
                def __trunc__(self):
                    return -12
            self.assertEqual(int(IntOverridesTrunc()), 42)

            class JustTrunc(base):
                def __trunc__(self):
                    return 42
            self.assertEqual(int(JustTrunc()), 42)

            for trunc_result_base in (object, Classic):
                class Integral(trunc_result_base):
                    def __int__(self):
                        return 42

                class TruncReturnsNonInt(base):
                    def __trunc__(self):
                        return Integral()
                self.assertEqual(int(TruncReturnsNonInt()), 42)

                class NonIntegral(trunc_result_base):
                    def __trunc__(self):
                        # Check that we avoid infinite recursion.
                        return NonIntegral()

                class TruncReturnsNonIntegral(base):
                    def __trunc__(self):
                        return NonIntegral()
                try:
                    int(TruncReturnsNonIntegral())
                except TypeError as e:
                    self.assertEquals(str(e),
                                      "__trunc__ returned non-Integral"
                                      " (type NonIntegral)")
                else:
                    self.fail("Failed to raise TypeError with %s" %
                              ((base, trunc_result_base),))

def test_main():
    run_unittest(IntTestCases)

if __name__ == "__main__":
    test_main()