119 lines
4.8 KiB
Python
119 lines
4.8 KiB
Python
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#
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# SelfTest/Math/test_Primality.py: Self-test for Primality module
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#
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# ===================================================================
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#
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# Copyright (c) 2014, Legrandin <helderijs@gmail.com>
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# All rights reserved.
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#
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# Redistribution and use in source and binary forms, with or without
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# modification, are permitted provided that the following conditions
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# are met:
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#
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# 1. Redistributions of source code must retain the above copyright
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# notice, this list of conditions and the following disclaimer.
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# 2. Redistributions in binary form must reproduce the above copyright
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# notice, this list of conditions and the following disclaimer in
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# the documentation and/or other materials provided with the
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# distribution.
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#
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# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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# COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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# POSSIBILITY OF SUCH DAMAGE.
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# ===================================================================
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"""Self-test for Math.Numbers"""
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import unittest
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from Cryptodome.SelfTest.st_common import list_test_cases
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from Cryptodome.Util.py3compat import *
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from Cryptodome.Math.Numbers import Integer
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from Cryptodome.Math.Primality import (
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PROBABLY_PRIME, COMPOSITE,
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miller_rabin_test, lucas_test,
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test_probable_prime,
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generate_probable_prime,
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generate_probable_safe_prime,
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)
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class TestPrimality(unittest.TestCase):
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primes = (1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 2**127-1, 175637383534939453397801320455508570374088202376942372758907369518414308188137781042871856139027160010343454418881888953150175357127346872102307696660678617989191485418582475696230580407111841072614783095326672517315988762029036079794994990250662362650625650262324085116467511357592728695033227611029693067539)
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composites = (0, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 7*23, (2**19-1)*(2**67-1), 9746347772161,)
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def test_miller_rabin(self):
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for prime in self.primes:
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self.assertEqual(miller_rabin_test(prime, 3), PROBABLY_PRIME)
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for composite in self.composites:
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self.assertEqual(miller_rabin_test(composite, 3), COMPOSITE)
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self.assertRaises(ValueError, miller_rabin_test, -1, 3)
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def test_lucas(self):
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for prime in self.primes:
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res = lucas_test(prime)
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self.assertEqual(res, PROBABLY_PRIME)
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for composite in self.composites:
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res = lucas_test(composite)
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self.assertEqual(res, COMPOSITE)
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self.assertRaises(ValueError, lucas_test, -1)
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def test_is_prime(self):
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primes = (170141183460469231731687303715884105727,
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19175002942688032928599,
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1363005552434666078217421284621279933627102780881053358473,
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2 ** 521 - 1)
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for p in primes:
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self.assertEqual(test_probable_prime(p), PROBABLY_PRIME)
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not_primes = (
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4754868377601046732119933839981363081972014948522510826417784001,
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1334733877147062382486934807105197899496002201113849920496510541601,
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260849323075371835669784094383812120359260783810157225730623388382401,
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)
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for np in not_primes:
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self.assertEqual(test_probable_prime(np), COMPOSITE)
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from Cryptodome.Util.number import sieve_base
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for p in sieve_base[:100]:
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res = test_probable_prime(p)
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self.assertEqual(res, PROBABLY_PRIME)
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def test_generate_prime_bit_size(self):
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p = generate_probable_prime(exact_bits=512)
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self.assertEqual(p.size_in_bits(), 512)
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def test_generate_prime_filter(self):
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def ending_with_one(number):
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return number % 10 == 1
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for x in range(20):
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q = generate_probable_prime(exact_bits=160,
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prime_filter=ending_with_one)
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self.assertEqual(q % 10, 1)
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def test_generate_safe_prime(self):
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p = generate_probable_safe_prime(exact_bits=161)
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self.assertEqual(p.size_in_bits(), 161)
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def get_tests(config={}):
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tests = []
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tests += list_test_cases(TestPrimality)
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return tests
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if __name__ == '__main__':
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suite = lambda: unittest.TestSuite(get_tests())
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unittest.main(defaultTest='suite')
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