




import os
import random
import sys

from . import cryptomath_module as cryptomath
from . import rabin_miller

__lowerCAmelCase		:				Union[str, Any]       			=		3




def 			__magic_name__				( A		:					int   ):






			'''simple docstring'''







			print("Generating primitive root of p"   )
			while True:
						a    =			random.randrange(3,  A   )
						if pow(A,  2,  A   ) == 1:
									continue
						if pow(A,  A,  A   ) == 1:
									continue
						return g




def 			__magic_name__				( A		:					int   ):






			'''simple docstring'''







			print("Generating prime p..."   )
			a    =			rabin_miller.generate_large_prime(A   )  # select large prime number.
			a    =			primitive_root(A   )  # one primitive root on modulo p.
			a    =			random.randrange(3,  A   )  # private_key -> have to be greater than 2 for safety.
			a    =			cryptomath.find_mod_inverse(pow(A,  A,  A   ),  A   )

			a    =			(key_size, e_a, e_a, p)
			a    =			(key_size, d)

			return public_key, private_key




def 			__magic_name__				( A		:					str,  A		:					int   ):






			'''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    =			generate_key(A   )
			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 			__magic_name__				( ):






			'''simple docstring'''







			print("Making key files..."   )
			make_key_files("elgamal",  2048   )
			print("Key files generation successful"   )


if __name__ == "__main__":
		main()












from __future__ import annotations

import numpy as np
from numpy import floataa
from numpy.typing import NDArray




def 			__magic_name__				( A		:					NDArray[floataa],  A		:					NDArray[floataa],  A		:					list[int],  A		:					int,  ):






			'''simple docstring'''







			a    ,		a    =			coefficient_matrix.shape
			a    ,		a    =			constant_matrix.shape

			if rowsa != colsa:
						a    =			F"""Coefficient matrix dimensions must be nxn but received {rowsa}x{colsa}"""
						raise ValueError(A   )

			if colsa != 1:
						a    =			F"""Constant matrix must be nx1 but received {rowsa}x{colsa}"""
						raise ValueError(A   )

			if rowsa != rowsa:
						a    =			(
						    "Coefficient and constant matrices dimensions must be nxn and nx1 but "
						    F"""received {rowsa}x{colsa} and {rowsa}x{colsa}"""
						)
						raise ValueError(A   )

			if len(A   ) != rowsa:
						a    =			(
						    "Number of initial values must be equal to number of rows in coefficient "
						    F"""matrix but received {len(A   )} and {rowsa}"""
						)
						raise ValueError(A   )

			if iterations <= 0:
						raise ValueError("Iterations must be at least 1"   )

			a    =			np.concatenate(
			    (coefficient_matrix, constant_matrix),  axis=1   )

			a    ,		a    =			table.shape

			strictly_diagonally_dominant(A   )

			# Iterates the whole matrix for given number of times
			for _ in range(A   ):
						a    =			[]
						for row in range(A   ):
									a    =			0
									for col in range(A   ):
												if col == row:
															a    =			table[row][col]
												elif col == cols - 1:
															a    =			table[row][col]
												else:
															temp += (-1) * table[row][col] * init_val[col]
									a    =			(temp + val) / denom
									new_val.append(A   )
						a    =			new_val

			return [float(A   ) for i in new_val]




def 			__magic_name__				( A		:					NDArray[floataa]   ):






			'''simple docstring'''







			a    ,		a    =			table.shape

			a    =			True

			for i in range(0,  A   ):
						a    =			0
						for j in range(0,  cols - 1   ):
									if i == j:
												continue
									else:
												total += table[i][j]

						if table[i][i] <= total:
									raise ValueError("Coefficient matrix is not strictly diagonally dominant"   )

			return is_diagonally_dominant


# Test Cases
if __name__ == "__main__":
		import doctest

		doctest.testmod()






