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authoralexv-smirnov <[email protected]>2023-12-01 12:02:50 +0300
committeralexv-smirnov <[email protected]>2023-12-01 13:28:10 +0300
commit0e578a4c44d4abd539d9838347b9ebafaca41dfb (patch)
treea0c1969c37f818c830ebeff9c077eacf30be6ef8 /contrib/python/rsa/py2/tests/test_prime.py
parent84f2d3d4cc985e63217cff149bd2e6d67ae6fe22 (diff)
Change "ya.make"
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diff --git a/contrib/python/rsa/py2/tests/test_prime.py b/contrib/python/rsa/py2/tests/test_prime.py
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+# -*- 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)