"""simple docstring"""







import os
import random
import sys

from . import cryptomath_module as cryptoMath  # noqa: N812
from . import rabin_miller as rabinMiller  # noqa: N812



def     lowercase__( ):
     print('Making key files...'   )
     make_key_files('rsa'  ,    10_24   )
     print('Key files generation successful.'   )



def     lowercase__( __SCREAMING_SNAKE_CASE							:  int   ):
     print('Generating prime p...'   )
     lowercase_			:       List[str]									=			rabinMiller.generate_large_prime(__SCREAMING_SNAKE_CASE   )
     print('Generating prime q...'   )
     lowercase_			:       int									=			rabinMiller.generate_large_prime(__SCREAMING_SNAKE_CASE   )
     lowercase_			:       Union[str, Any]									=			p * q

     print('Generating e that is relatively prime to (p - 1) * (q - 1)...'   )
     while True:
          lowercase_			:       str									=			random.randrange(2 ** (key_size - 1)  ,    2 ** (key_size)   )
          if cryptoMath.gcd(__SCREAMING_SNAKE_CASE  ,    (p - 1) * (q - 1)   ) == 1:
               break

     print('Calculating d that is mod inverse of e...'   )
     lowercase_			:       List[str]									=			cryptoMath.find_mod_inverse(__SCREAMING_SNAKE_CASE  ,    (p - 1) * (q - 1)   )

     lowercase_			:       Any									=			(n, e)
     lowercase_			:       int									=			(n, d)
     return (public_key, private_key)



def     lowercase__( __SCREAMING_SNAKE_CASE							:  str  ,    __SCREAMING_SNAKE_CASE							:  int   ):
     if os.path.exists(F'''{name}_pubkey.txt'''   ) or os.path.exists(F'''{name}_privkey.txt'''   ):
          print('\nWARNING:'   )
          print(
              F'''"{name}_pubkey.txt" or "{name}_privkey.txt" already exists. \n'''
              'Use a different name or delete these files and re-run this program.'   )
          sys.exit()

     lowercase_							,						lowercase_			:       int									=			generate_key(__SCREAMING_SNAKE_CASE   )
     print(F'''\nWriting public key to file {name}_pubkey.txt...'''   )
     with open(F'''{name}_pubkey.txt'''  ,    'w'   ) as out_file:
          out_file.write(F'''{key_size},{public_key[0]},{public_key[1]}'''   )

     print(F'''Writing private key to file {name}_privkey.txt...'''   )
     with open(F'''{name}_privkey.txt'''  ,    'w'   ) as out_file:
          out_file.write(F'''{key_size},{private_key[0]},{private_key[1]}'''   )


if __name__ == "__main__":
       main()


"""simple docstring"""







from math import sqrt



def     lowercase__( __SCREAMING_SNAKE_CASE							:  int   ):

     if 1 < number < 4:
          # 2 and 3 are primes
          return True
     elif number < 2 or number % 2 == 0 or number % 3 == 0:
          # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
          return False

     # All primes number are in format of 6k +/- 1
     for i in range(5  ,    int(sqrt(__SCREAMING_SNAKE_CASE   ) + 1   )  ,    6   ):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True



def     lowercase__( __SCREAMING_SNAKE_CASE							:  int = 1_00_01   ):
     lowercase_			:       str									=			0
     lowercase_			:       Optional[Any]									=			1
     while count != nth and number < 3:
          number += 1
          if is_prime(__SCREAMING_SNAKE_CASE   ):
               count += 1
     while count != nth:
          number += 2
          if is_prime(__SCREAMING_SNAKE_CASE   ):
               count += 1
     return number


if __name__ == "__main__":
       print(F"{solution() = }")

