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| author | alexv-smirnov <[email protected]> | 2023-12-01 12:02:50 +0300 |
|---|---|---|
| committer | alexv-smirnov <[email protected]> | 2023-12-01 13:28:10 +0300 |
| commit | 0e578a4c44d4abd539d9838347b9ebafaca41dfb (patch) | |
| tree | a0c1969c37f818c830ebeff9c077eacf30be6ef8 /contrib/python/rsa/py2/tests/test_prime.py | |
| parent | 84f2d3d4cc985e63217cff149bd2e6d67ae6fe22 (diff) | |
Change "ya.make"
Diffstat (limited to 'contrib/python/rsa/py2/tests/test_prime.py')
| -rw-r--r-- | contrib/python/rsa/py2/tests/test_prime.py | 110 |
1 files changed, 110 insertions, 0 deletions
diff --git a/contrib/python/rsa/py2/tests/test_prime.py b/contrib/python/rsa/py2/tests/test_prime.py new file mode 100644 index 00000000000..f3bda9b486e --- /dev/null +++ b/contrib/python/rsa/py2/tests/test_prime.py @@ -0,0 +1,110 @@ +# -*- coding: utf-8 -*- +# +# Copyright 2011 Sybren A. Stüvel <[email protected]> +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +"""Tests prime functions.""" + +import unittest + +from rsa._compat import range +import rsa.prime +import rsa.randnum + + +class PrimeTest(unittest.TestCase): + def test_is_prime(self): + """Test some common primes.""" + + # Test some trivial numbers + self.assertFalse(rsa.prime.is_prime(-1)) + self.assertFalse(rsa.prime.is_prime(0)) + self.assertFalse(rsa.prime.is_prime(1)) + self.assertTrue(rsa.prime.is_prime(2)) + self.assertFalse(rsa.prime.is_prime(42)) + self.assertTrue(rsa.prime.is_prime(41)) + + # Test some slightly larger numbers + self.assertEqual( + [907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997], + [x for x in range(901, 1000) if rsa.prime.is_prime(x)] + ) + + # Test around the 50th millionth known prime. + self.assertTrue(rsa.prime.is_prime(982451653)) + self.assertFalse(rsa.prime.is_prime(982451653 * 961748941)) + + def test_miller_rabin_primality_testing(self): + """Uses monkeypatching to ensure certain random numbers. + + This allows us to predict/control the code path. + """ + + randints = [] + + def fake_randint(maxvalue): + return randints.pop(0) + + orig_randint = rsa.randnum.randint + rsa.randnum.randint = fake_randint + try: + # 'n is composite' + randints.append(2630484832) # causes the 'n is composite' case with n=3784949785 + self.assertEqual(False, rsa.prime.miller_rabin_primality_testing(2787998641, 7)) + self.assertEqual([], randints) + + # 'Exit inner loop and continue with next witness' + randints.extend([ + 2119139098, # causes 'Exit inner loop and continue with next witness' + # the next witnesses for the above case: + 3051067716, 3603501763, 3230895847, 3687808133, 3760099987, 4026931495, 3022471882, + ]) + self.assertEqual(True, rsa.prime.miller_rabin_primality_testing(2211417913, + len(randints))) + self.assertEqual([], randints) + finally: + rsa.randnum.randint = orig_randint + + def test_mersenne_primes(self): + """Tests first known Mersenne primes. + + Mersenne primes are prime numbers that can be written in the form + `Mn = 2**n - 1` for some integer `n`. For the list of known Mersenne + primes, see: + https://en.wikipedia.org/wiki/Mersenne_prime#List_of_known_Mersenne_primes + """ + + # List of known Mersenne exponents. + known_mersenne_exponents = [ + 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, + 2203, 2281, 4423, + ] + + # Test Mersenne primes. + for exp in known_mersenne_exponents: + self.assertTrue(rsa.prime.is_prime(2**exp - 1)) + + def test_get_primality_testing_rounds(self): + """Test round calculation for primality testing.""" + + self.assertEqual(rsa.prime.get_primality_testing_rounds(1 << 63), 10) + self.assertEqual(rsa.prime.get_primality_testing_rounds(1 << 127), 10) + self.assertEqual(rsa.prime.get_primality_testing_rounds(1 << 255), 10) + self.assertEqual(rsa.prime.get_primality_testing_rounds(1 << 511), 7) + self.assertEqual(rsa.prime.get_primality_testing_rounds(1 << 767), 7) + self.assertEqual(rsa.prime.get_primality_testing_rounds(1 << 1023), 4) + self.assertEqual(rsa.prime.get_primality_testing_rounds(1 << 1279), 4) + self.assertEqual(rsa.prime.get_primality_testing_rounds(1 << 1535), 3) + self.assertEqual(rsa.prime.get_primality_testing_rounds(1 << 2047), 3) + self.assertEqual(rsa.prime.get_primality_testing_rounds(1 << 4095), 3) |
