import os
import random
import sys

from . import cryptomath_module as cryptomath
from . import rabin_miller

__lowercase							 =					3



def lowerCamelCase  (   SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    print('''Generating primitive root of p'''	)
    while True:
        __UpperCamelCase     :Tuple			  =		random.randrange(3  ,			SCREAMING_SNAKE_CASE	)
        if pow(SCREAMING_SNAKE_CASE  ,			2  ,			SCREAMING_SNAKE_CASE	) == 1:
            continue
        if pow(SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	) == 1:
            continue
        return g



def lowerCamelCase  (   SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    print('''Generating prime p...'''	)
    __UpperCamelCase     :List[Any]			  =		rabin_miller.generate_large_prime(SCREAMING_SNAKE_CASE	)  # select large prime number.
    __UpperCamelCase     :Optional[Any]			  =		primitive_root(SCREAMING_SNAKE_CASE	)  # one primitive root on modulo p.
    __UpperCamelCase     :Optional[int]			  =		random.randrange(3  ,			SCREAMING_SNAKE_CASE	)  # private_key -> have to be greater than 2 for safety.
    __UpperCamelCase     :List[Any]			  =		cryptomath.find_mod_inverse(pow(SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	)  ,			SCREAMING_SNAKE_CASE	)

    __UpperCamelCase     :int			  =		(key_size, e_a, e_a, p)
    __UpperCamelCase     :str			  =		(key_size, d)

    return public_key, private_key



def lowerCamelCase  (   SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    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()

    __UpperCamelCase  ,       __UpperCamelCase     :str			  =		generate_key(SCREAMING_SNAKE_CASE	)
    print(f"""\nWriting public key to file {name}_pubkey.txt..."""	)
    with open(f"""{name}_pubkey.txt"""  ,			'''w'''	) as fo:
        fo.write(f"""{public_key[0]},{public_key[1]},{public_key[2]},{public_key[3]}"""	)

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



def lowerCamelCase  (   ):
    '''simple docstring'''







    print('''Making key files...'''	)
    make_key_files('''elgamal'''  ,			2_048	)
    print('''Key files generation successful'''	)


if __name__ == "__main__":
    main()






def lowerCamelCase  (   SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    __UpperCamelCase     :Tuple			  =		[0 for i in range(len(SCREAMING_SNAKE_CASE	)	)]

    # initialize interval's left pointer and right pointer
    __UpperCamelCase  ,       __UpperCamelCase     :str			  =		0, 0

    for i in range(1  ,			len(SCREAMING_SNAKE_CASE	)	):
        # case when current index is inside the interval
        if i <= right_pointer:
            __UpperCamelCase     :Union[str, Any]			  =		min(right_pointer - i + 1  ,			z_result[i - left_pointer]	)
            __UpperCamelCase     :Tuple			  =		min_edge

        while go_next(SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
            z_result[i] += 1

        # if new index's result gives us more right interval,
        # we've to update left_pointer and right_pointer
        if i + z_result[i] - 1 > right_pointer:
            __UpperCamelCase  ,       __UpperCamelCase     :Union[str, Any]			  =		i, i + z_result[i] - 1

    return z_result



def lowerCamelCase  (   SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    return i + z_result[i] < len(SCREAMING_SNAKE_CASE	) and s[z_result[i]] == s[i + z_result[i]]



def lowerCamelCase  (   SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    __UpperCamelCase     :List[Any]			  =		0
    # concatenate 'pattern' and 'input_str' and call z_function
    # with concatenated string
    __UpperCamelCase     :Tuple			  =		z_function(pattern + input_str	)

    for val in z_result:
        # if value is greater then length of the pattern string
        # that means this index is starting position of substring
        # which is equal to pattern string
        if val >= len(SCREAMING_SNAKE_CASE	):
            answer += 1

    return answer


if __name__ == "__main__":
    import doctest

    doctest.testmod()





