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| # -*- coding: utf-8 -*- | |
| # | |
| # SelfTest/Util/test_number.py: Self-test for parts of the Crypto.Util.number module | |
| # | |
| # Written in 2008 by Dwayne C. Litzenberger <[email protected]> | |
| # | |
| # =================================================================== | |
| # The contents of this file are dedicated to the public domain. To | |
| # the extent that dedication to the public domain is not available, | |
| # everyone is granted a worldwide, perpetual, royalty-free, | |
| # non-exclusive license to exercise all rights associated with the | |
| # contents of this file for any purpose whatsoever. | |
| # No rights are reserved. | |
| # | |
| # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, | |
| # EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF | |
| # MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND | |
| # NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS | |
| # BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN | |
| # ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN | |
| # CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | |
| # SOFTWARE. | |
| # =================================================================== | |
| """Self-tests for (some of) Crypto.Util.number""" | |
| import math | |
| import unittest | |
| from Crypto.Util.py3compat import * | |
| from Crypto.SelfTest.st_common import list_test_cases | |
| from Crypto.Util import number | |
| from Crypto.Util.number import long_to_bytes | |
| class MyError(Exception): | |
| """Dummy exception used for tests""" | |
| # NB: In some places, we compare tuples instead of just output values so that | |
| # if any inputs cause a test failure, we'll be able to tell which ones. | |
| class MiscTests(unittest.TestCase): | |
| def test_ceil_div(self): | |
| """Util.number.ceil_div""" | |
| self.assertRaises(TypeError, number.ceil_div, "1", 1) | |
| self.assertRaises(ZeroDivisionError, number.ceil_div, 1, 0) | |
| self.assertRaises(ZeroDivisionError, number.ceil_div, -1, 0) | |
| # b = 1 | |
| self.assertEqual(0, number.ceil_div(0, 1)) | |
| self.assertEqual(1, number.ceil_div(1, 1)) | |
| self.assertEqual(2, number.ceil_div(2, 1)) | |
| self.assertEqual(3, number.ceil_div(3, 1)) | |
| # b = 2 | |
| self.assertEqual(0, number.ceil_div(0, 2)) | |
| self.assertEqual(1, number.ceil_div(1, 2)) | |
| self.assertEqual(1, number.ceil_div(2, 2)) | |
| self.assertEqual(2, number.ceil_div(3, 2)) | |
| self.assertEqual(2, number.ceil_div(4, 2)) | |
| self.assertEqual(3, number.ceil_div(5, 2)) | |
| # b = 3 | |
| self.assertEqual(0, number.ceil_div(0, 3)) | |
| self.assertEqual(1, number.ceil_div(1, 3)) | |
| self.assertEqual(1, number.ceil_div(2, 3)) | |
| self.assertEqual(1, number.ceil_div(3, 3)) | |
| self.assertEqual(2, number.ceil_div(4, 3)) | |
| self.assertEqual(2, number.ceil_div(5, 3)) | |
| self.assertEqual(2, number.ceil_div(6, 3)) | |
| self.assertEqual(3, number.ceil_div(7, 3)) | |
| # b = 4 | |
| self.assertEqual(0, number.ceil_div(0, 4)) | |
| self.assertEqual(1, number.ceil_div(1, 4)) | |
| self.assertEqual(1, number.ceil_div(2, 4)) | |
| self.assertEqual(1, number.ceil_div(3, 4)) | |
| self.assertEqual(1, number.ceil_div(4, 4)) | |
| self.assertEqual(2, number.ceil_div(5, 4)) | |
| self.assertEqual(2, number.ceil_div(6, 4)) | |
| self.assertEqual(2, number.ceil_div(7, 4)) | |
| self.assertEqual(2, number.ceil_div(8, 4)) | |
| self.assertEqual(3, number.ceil_div(9, 4)) | |
| def test_getPrime(self): | |
| """Util.number.getPrime""" | |
| self.assertRaises(ValueError, number.getPrime, -100) | |
| self.assertRaises(ValueError, number.getPrime, 0) | |
| self.assertRaises(ValueError, number.getPrime, 1) | |
| bits = 4 | |
| for i in range(100): | |
| x = number.getPrime(bits) | |
| self.assertEqual(x >= (1 << bits - 1), 1) | |
| self.assertEqual(x < (1 << bits), 1) | |
| bits = 512 | |
| x = number.getPrime(bits) | |
| self.assertNotEqual(x % 2, 0) | |
| self.assertEqual(x >= (1 << bits - 1), 1) | |
| self.assertEqual(x < (1 << bits), 1) | |
| def test_getStrongPrime(self): | |
| """Util.number.getStrongPrime""" | |
| self.assertRaises(ValueError, number.getStrongPrime, 256) | |
| self.assertRaises(ValueError, number.getStrongPrime, 513) | |
| bits = 512 | |
| x = number.getStrongPrime(bits) | |
| self.assertNotEqual(x % 2, 0) | |
| self.assertEqual(x > (1 << bits-1)-1, 1) | |
| self.assertEqual(x < (1 << bits), 1) | |
| e = 2**16+1 | |
| x = number.getStrongPrime(bits, e) | |
| self.assertEqual(number.GCD(x-1, e), 1) | |
| self.assertNotEqual(x % 2, 0) | |
| self.assertEqual(x > (1 << bits-1)-1, 1) | |
| self.assertEqual(x < (1 << bits), 1) | |
| e = 2**16+2 | |
| x = number.getStrongPrime(bits, e) | |
| self.assertEqual(number.GCD((x-1)>>1, e), 1) | |
| self.assertNotEqual(x % 2, 0) | |
| self.assertEqual(x > (1 << bits-1)-1, 1) | |
| self.assertEqual(x < (1 << bits), 1) | |
| def test_isPrime(self): | |
| """Util.number.isPrime""" | |
| self.assertEqual(number.isPrime(-3), False) # Regression test: negative numbers should not be prime | |
| self.assertEqual(number.isPrime(-2), False) # Regression test: negative numbers should not be prime | |
| self.assertEqual(number.isPrime(1), False) # Regression test: isPrime(1) caused some versions of PyCrypto to crash. | |
| self.assertEqual(number.isPrime(2), True) | |
| self.assertEqual(number.isPrime(3), True) | |
| self.assertEqual(number.isPrime(4), False) | |
| self.assertEqual(number.isPrime(2**1279-1), True) | |
| self.assertEqual(number.isPrime(-(2**1279-1)), False) # Regression test: negative numbers should not be prime | |
| # test some known gmp pseudo-primes taken from | |
| # http://www.trnicely.net/misc/mpzspsp.html | |
| for composite in (43 * 127 * 211, 61 * 151 * 211, 15259 * 30517, | |
| 346141 * 692281, 1007119 * 2014237, 3589477 * 7178953, | |
| 4859419 * 9718837, 2730439 * 5460877, | |
| 245127919 * 490255837, 963939391 * 1927878781, | |
| 4186358431 * 8372716861, 1576820467 * 3153640933): | |
| self.assertEqual(number.isPrime(int(composite)), False) | |
| def test_size(self): | |
| self.assertEqual(number.size(2),2) | |
| self.assertEqual(number.size(3),2) | |
| self.assertEqual(number.size(0xa2),8) | |
| self.assertEqual(number.size(0xa2ba40),8*3) | |
| self.assertEqual(number.size(0xa2ba40ee07e3b2bd2f02ce227f36a195024486e49c19cb41bbbdfbba98b22b0e577c2eeaffa20d883a76e65e394c69d4b3c05a1e8fadda27edb2a42bc000fe888b9b32c22d15add0cd76b3e7936e19955b220dd17d4ea904b1ec102b2e4de7751222aa99151024c7cb41cc5ea21d00eeb41f7c800834d2c6e06bce3bce7ea9a5), 1024) | |
| self.assertRaises(ValueError, number.size, -1) | |
| class LongTests(unittest.TestCase): | |
| def test1(self): | |
| self.assertEqual(long_to_bytes(0), b'\x00') | |
| self.assertEqual(long_to_bytes(1), b'\x01') | |
| self.assertEqual(long_to_bytes(0x100), b'\x01\x00') | |
| self.assertEqual(long_to_bytes(0xFF00000000), b'\xFF\x00\x00\x00\x00') | |
| self.assertEqual(long_to_bytes(0xFF00000000), b'\xFF\x00\x00\x00\x00') | |
| self.assertEqual(long_to_bytes(0x1122334455667788), b'\x11\x22\x33\x44\x55\x66\x77\x88') | |
| self.assertEqual(long_to_bytes(0x112233445566778899), b'\x11\x22\x33\x44\x55\x66\x77\x88\x99') | |
| def test2(self): | |
| self.assertEqual(long_to_bytes(0, 1), b'\x00') | |
| self.assertEqual(long_to_bytes(0, 2), b'\x00\x00') | |
| self.assertEqual(long_to_bytes(1, 3), b'\x00\x00\x01') | |
| self.assertEqual(long_to_bytes(65535, 2), b'\xFF\xFF') | |
| self.assertEqual(long_to_bytes(65536, 2), b'\x00\x01\x00\x00') | |
| self.assertEqual(long_to_bytes(0x100, 1), b'\x01\x00') | |
| self.assertEqual(long_to_bytes(0xFF00000001, 6), b'\x00\xFF\x00\x00\x00\x01') | |
| self.assertEqual(long_to_bytes(0xFF00000001, 8), b'\x00\x00\x00\xFF\x00\x00\x00\x01') | |
| self.assertEqual(long_to_bytes(0xFF00000001, 10), b'\x00\x00\x00\x00\x00\xFF\x00\x00\x00\x01') | |
| self.assertEqual(long_to_bytes(0xFF00000001, 11), b'\x00\x00\x00\x00\x00\x00\xFF\x00\x00\x00\x01') | |
| def test_err1(self): | |
| self.assertRaises(ValueError, long_to_bytes, -1) | |
| def get_tests(config={}): | |
| tests = [] | |
| tests += list_test_cases(MiscTests) | |
| tests += list_test_cases(LongTests) | |
| return tests | |
| if __name__ == '__main__': | |
| suite = lambda: unittest.TestSuite(get_tests()) | |
| unittest.main(defaultTest='suite') | |
| # vim:set ts=4 sw=4 sts=4 expandtab: | |