1# -*- coding: utf-8 -*-
2#
3#  SelfTest/Util/test_number.py: Self-test for parts of the Crypto.Util.number module
4#
5# Written in 2008 by Dwayne C. Litzenberger <dlitz@dlitz.net>
6#
7# ===================================================================
8# The contents of this file are dedicated to the public domain.  To
9# the extent that dedication to the public domain is not available,
10# everyone is granted a worldwide, perpetual, royalty-free,
11# non-exclusive license to exercise all rights associated with the
12# contents of this file for any purpose whatsoever.
13# No rights are reserved.
14#
15# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
16# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
17# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
18# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
19# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
20# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
21# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
22# SOFTWARE.
23# ===================================================================
24
25"""Self-tests for (some of) Crypto.Util.number"""
26
27from Crypto.Util.py3compat import *
28
29import unittest
30
31class MyError(Exception):
32    """Dummy exception used for tests"""
33
34# NB: In some places, we compare tuples instead of just output values so that
35# if any inputs cause a test failure, we'll be able to tell which ones.
36
37class MiscTests(unittest.TestCase):
38    def setUp(self):
39        global number, math
40        from Crypto.Util import number
41        import math
42
43    def test_ceil_div(self):
44        """Util.number.ceil_div"""
45        self.assertRaises(TypeError, number.ceil_div, "1", 1)
46        self.assertRaises(ZeroDivisionError, number.ceil_div, 1, 0)
47        self.assertRaises(ZeroDivisionError, number.ceil_div, -1, 0)
48
49        # b = 1
50        self.assertEqual(0, number.ceil_div(0, 1))
51        self.assertEqual(1, number.ceil_div(1, 1))
52        self.assertEqual(2, number.ceil_div(2, 1))
53        self.assertEqual(3, number.ceil_div(3, 1))
54
55        # b = 2
56        self.assertEqual(0, number.ceil_div(0, 2))
57        self.assertEqual(1, number.ceil_div(1, 2))
58        self.assertEqual(1, number.ceil_div(2, 2))
59        self.assertEqual(2, number.ceil_div(3, 2))
60        self.assertEqual(2, number.ceil_div(4, 2))
61        self.assertEqual(3, number.ceil_div(5, 2))
62
63        # b = 3
64        self.assertEqual(0, number.ceil_div(0, 3))
65        self.assertEqual(1, number.ceil_div(1, 3))
66        self.assertEqual(1, number.ceil_div(2, 3))
67        self.assertEqual(1, number.ceil_div(3, 3))
68        self.assertEqual(2, number.ceil_div(4, 3))
69        self.assertEqual(2, number.ceil_div(5, 3))
70        self.assertEqual(2, number.ceil_div(6, 3))
71        self.assertEqual(3, number.ceil_div(7, 3))
72
73        # b = 4
74        self.assertEqual(0, number.ceil_div(0, 4))
75        self.assertEqual(1, number.ceil_div(1, 4))
76        self.assertEqual(1, number.ceil_div(2, 4))
77        self.assertEqual(1, number.ceil_div(3, 4))
78        self.assertEqual(1, number.ceil_div(4, 4))
79        self.assertEqual(2, number.ceil_div(5, 4))
80        self.assertEqual(2, number.ceil_div(6, 4))
81        self.assertEqual(2, number.ceil_div(7, 4))
82        self.assertEqual(2, number.ceil_div(8, 4))
83        self.assertEqual(3, number.ceil_div(9, 4))
84
85    def test_getStrongPrime(self):
86        """Util.number.getStrongPrime"""
87        self.assertRaises(ValueError, number.getStrongPrime, 256)
88        self.assertRaises(ValueError, number.getStrongPrime, 513)
89        bits = 512
90        x = number.getStrongPrime(bits)
91        self.assertNotEqual(x % 2, 0)
92        self.assertEqual(x > (1 << bits-1)-1, 1)
93        self.assertEqual(x < (1 << bits), 1)
94        e = 2**16+1
95        x = number.getStrongPrime(bits, e)
96        self.assertEqual(number.GCD(x-1, e), 1)
97        self.assertNotEqual(x % 2, 0)
98        self.assertEqual(x > (1 << bits-1)-1, 1)
99        self.assertEqual(x < (1 << bits), 1)
100        e = 2**16+2
101        x = number.getStrongPrime(bits, e)
102        self.assertEqual(number.GCD((x-1)>>1, e), 1)
103        self.assertNotEqual(x % 2, 0)
104        self.assertEqual(x > (1 << bits-1)-1, 1)
105        self.assertEqual(x < (1 << bits), 1)
106
107    def test_isPrime(self):
108        """Util.number.isPrime"""
109        self.assertEqual(number.isPrime(-3), False)     # Regression test: negative numbers should not be prime
110        self.assertEqual(number.isPrime(-2), False)     # Regression test: negative numbers should not be prime
111        self.assertEqual(number.isPrime(1), False)      # Regression test: isPrime(1) caused some versions of PyCrypto to crash.
112        self.assertEqual(number.isPrime(2), True)
113        self.assertEqual(number.isPrime(3), True)
114        self.assertEqual(number.isPrime(4), False)
115        self.assertEqual(number.isPrime(2**1279-1), True)
116        self.assertEqual(number.isPrime(-(2**1279-1)), False)     # Regression test: negative numbers should not be prime
117        # test some known gmp pseudo-primes taken from
118        # http://www.trnicely.net/misc/mpzspsp.html
119        for composite in (43 * 127 * 211, 61 * 151 * 211, 15259 * 30517,
120                          346141 * 692281, 1007119 * 2014237, 3589477 * 7178953,
121                          4859419 * 9718837, 2730439 * 5460877,
122                          245127919 * 490255837, 963939391 * 1927878781,
123                          4186358431 * 8372716861, 1576820467 * 3153640933):
124            self.assertEqual(number.isPrime(int(composite)), False)
125
126    def test_size(self):
127        self.assertEqual(number.size(2),2)
128        self.assertEqual(number.size(3),2)
129        self.assertEqual(number.size(0xa2),8)
130        self.assertEqual(number.size(0xa2ba40),8*3)
131        self.assertEqual(number.size(0xa2ba40ee07e3b2bd2f02ce227f36a195024486e49c19cb41bbbdfbba98b22b0e577c2eeaffa20d883a76e65e394c69d4b3c05a1e8fadda27edb2a42bc000fe888b9b32c22d15add0cd76b3e7936e19955b220dd17d4ea904b1ec102b2e4de7751222aa99151024c7cb41cc5ea21d00eeb41f7c800834d2c6e06bce3bce7ea9a5), 1024)
132        self.assertRaises(ValueError, number.size, -1)
133
134
135def get_tests(config={}):
136    from Crypto.SelfTest.st_common import list_test_cases
137    tests = list_test_cases(MiscTests)
138    return tests
139
140if __name__ == '__main__':
141    suite = lambda: unittest.TestSuite(get_tests())
142    unittest.main(defaultTest='suite')
143
144# vim:set ts=4 sw=4 sts=4 expandtab:
145