def setup(self):
"""
Will choose a generator that will generates the *entire*
multiplicative group modulo :param prime:
"""
divisors = self.divisors(self._prime - 1)
while True:
root_test = 1
random_number = self.process_number()
sutil.debug("[i] Random number is: {}".format(random_number))
sutil.debug("[i] Will check if number is primitive root !")
for divisor in divisors:
if sutil.primality_test(divisor):
root_test = pow(random_number, (self._prime - 1) / divisor,
self._prime)
else:
root_test = pow(random_number, divisor, self._prime)
if root_test == 1:
sutil.debug("[x] Number is not generator !")
break
if root_test != 1:
sutil.debug("[o] Number is generator !")
break
return random_number
def __init__(self, prime=None, bites=GENERAL.PRIME_BITES, quick=False):
"""
:param prime: prime number
:type prime: Integer, Long or None
:param int bites: number of bites for randome prime number generator
:param bool quick: True for quick setup
If :param args: is not set will be generare a prime number of
:param bites: bites.
"""
if not prime:
if not isinstance(bites, int):
raise TypeError("Parameter bites should be integer !")
self._prime = self.get_prime(bites)
else:
if not sutil.primality_test(prime):
raise ValueError("Parameter prime should be a prime number !")
self._prime = prime
sutil.debug("[i] Prime number is: {}".format(self._prime))
if quick:
self._primitive_root = self.quick_setup()
else:
self._primitive_root = self.setup()
def setup(self):
"""
Will choose a generator that will generates the *entire*
multiplicative group modulo :param prime:
"""
divisors = self.divisors(self._prime - 1)
while True:
root_test = 1
random_number = self.process_number()
sutil.debug("[i] Random number is: {}".format(random_number))
sutil.debug("[i] Will check if number is primitive root !")
for divisor in divisors:
if sutil.primality_test(divisor):
root_test = pow(random_number, (self._prime - 1) / divisor,
self._prime)
else:
root_test = pow(random_number, divisor, self._prime)
if root_test == 1:
sutil.debug("[x] Number is not generator !")
break
if root_test != 1:
sutil.debug("[o] Number is generator !")
break
return random_number
def __init__(self, prime=None, bites=GENERAL.PRIME_BITES, quick=False):
"""
:param prime: prime number
:type prime: Integer, Long or None
:param int bites: number of bites for randome prime number generator
:param bool quick: True for quick setup
If :param args: is not set will be generare a prime number of
:param bites: bites.
"""
if not prime:
if not isinstance(bites, int):
raise TypeError("Parameter bites should be integer !")
self._prime = self.get_prime(bites)
else:
if not sutil.primality_test(prime):
raise ValueError("Parameter prime should be a prime number !")
self._prime = prime
sutil.debug("[i] Prime number is: {}".format(self._prime))
if quick:
self._primitive_root = self.quick_setup()
else:
self._primitive_root = self.setup()
def divisors(number):
"""Compute the prime divisors for recived number"""
divisors = []
while number > 1:
if sutil.primality_test(number):
sutil.debug("[i] Last divisor: {}".format(number))
divisors.append(number)
break
if GENERAL.DIVISORS == "brent_rho":
divisor = sutil.brent_rho(number)
elif GENERAL.DIVISORS == "pollard_rho":
divisor = sutil.pollard_rho(number)
else:
raise ValueError("Invalid value for GENERAL.DIVISORS !")
divisors.append(divisor)
sutil.debug("[i] Divisor found: {}".format(divisor))
number = number / divisor
return divisors
def divisors(number):
"""Compute the prime divisors for recived number"""
divisors = []
while number > 1:
if sutil.primality_test(number):
sutil.debug("[i] Last divisor: {}".format(number))
divisors.append(number)
break
if GENERAL.DIVISORS == "brent_rho":
divisor = sutil.brent_rho(number)
elif GENERAL.DIVISORS == "pollard_rho":
divisor = sutil.pollard_rho(number)
else:
raise ValueError("Invalid value for GENERAL.DIVISORS !")
divisors.append(divisor)
sutil.debug("[i] Divisor found: {}".format(divisor))
number = number / divisor
return divisors