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