#
#  SelfTest/Math/test_Primality.py: Self-test for Primality module
#
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# Copyright (c) 2014, Legrandin <helderijs@gmail.com>
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"""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')
