
'''simple docstring'''




import os
import random
import sys

from . import cryptomath_module as cryptomath
from . import rabin_miller

lowercase			:				Union[str, Any]    		=			3







def 		lowerCAmelCase_				(   snake_case__						):




    '''simple docstring'''



    print('''Generating primitive root of p'''						)
    while True:
        A       :   Optional[Any]					=						random.randrange(3		,				snake_case__						)
        if pow(snake_case__		,				2		,				snake_case__						) == 1:
            continue
        if pow(snake_case__		,				snake_case__		,				snake_case__						) == 1:
            continue
        return g







def 		lowerCAmelCase_				(   snake_case__						):




    '''simple docstring'''



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

    A       :   Dict					=						(key_size, e_a, e_a, p)
    A       :   Optional[int]					=						(key_size, d)

    return public_key, private_key







def 		lowerCAmelCase_				(   snake_case__		,				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()

    A,  A       :   int					=						generate_key(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'''		,				2048						)
    print('''Key files generation successful'''						)


if __name__ == "__main__":
      main()









'''simple docstring'''






from __future__ import annotations

from numpy import array, cos, cross, floataa, radians, sin
from numpy.typing import NDArray




def     snake_case_					(     lowerCAmelCase_       ,   lowerCAmelCase_       ,   lowerCAmelCase_ = False		)->		list[float]:





       '''simple docstring'''


       if radian_mode:
              return [magnitude * cos(lowerCAmelCase_		), magnitude * sin(lowerCAmelCase_		)]
       return [magnitude * cos(radians(lowerCAmelCase_		)		), magnitude * sin(radians(lowerCAmelCase_		)		)]




def     snake_case_					(     lowerCAmelCase_       ,   lowerCAmelCase_       ,   lowerCAmelCase_ = 10**-1		)->		bool:





       '''simple docstring'''


       _UpperCAmelCase  :						NDArray[floataa]			     = cross(lowerCAmelCase_       ,   lowerCAmelCase_		)
       _UpperCAmelCase  :						float			     = sum(lowerCAmelCase_		)
       return abs(lowerCAmelCase_		) < eps


if __name__ == "__main__":
   # Test to check if it works
   A_							: str						 =	array(
       [
           polar_force(718.4, 1_8_0 - 3_0),
           polar_force(879.54, 4_5),
           polar_force(1_0_0, -9_0),
       ]
   )

   A_							: NDArray[floataa]						 =	array([[0, 0], [0, 0], [0, 0]])

   assert in_static_equilibrium(forces, location)

   # Problem 1 in image_data/2D_problems.jpg
   A_							: List[str]						 =	array(
       [
           polar_force(3_0 * 9.81, 1_5),
           polar_force(2_1_5, 1_8_0 - 4_5),
           polar_force(2_6_4, 9_0 - 3_0),
       ]
   )

   A_							: Tuple						 =	array([[0, 0], [0, 0], [0, 0]])

   assert in_static_equilibrium(forces, location)

   # Problem in image_data/2D_problems_1.jpg
   A_							: Dict						 =	array([[0, -2_0_0_0], [0, -1_2_0_0], [0, 1_5_6_0_0], [0, -1_2_4_0_0]])

   A_							: Union[str, Any]						 =	array([[0, 0], [6, 0], [1_0, 0], [1_2, 0]])

   assert in_static_equilibrium(forces, location)

   import doctest

   doctest.testmod()



