"""simple docstring"""




import cva
import numpy as np



def 				__a       (			_lowercase							, _lowercase							, _lowercase							, _lowercase						):







					"""simple docstring"""





					try:
										return int(image[x_coordinate][y_coordinate] >= center						)
					except (IndexError, TypeError):
										return 0



def 				__a       (			_lowercase							, _lowercase							, _lowercase						):







					"""simple docstring"""





					lowerCamelCase__		:   Any  				=					image[x_coordinate][y_coordinate]
					lowerCamelCase__		:   Union[str, Any]  				=					[1, 2, 4, 8, 16, 32, 64, 128]

					# skip get_neighbors_pixel if center is null
					if center is None:
										return 0

					# Starting from the top right, assigning value to pixels clockwise
					lowerCamelCase__		:   str  				=					[
					    get_neighbors_pixel(_lowercase							, x_coordinate - 1							, y_coordinate + 1							, _lowercase						),
					    get_neighbors_pixel(_lowercase							, _lowercase							, y_coordinate + 1							, _lowercase						),
					    get_neighbors_pixel(_lowercase							, x_coordinate - 1							, _lowercase							, _lowercase						),
					    get_neighbors_pixel(_lowercase							, x_coordinate + 1							, y_coordinate + 1							, _lowercase						),
					    get_neighbors_pixel(_lowercase							, x_coordinate + 1							, _lowercase							, _lowercase						),
					    get_neighbors_pixel(_lowercase							, x_coordinate + 1							, y_coordinate - 1							, _lowercase						),
					    get_neighbors_pixel(_lowercase							, _lowercase							, y_coordinate - 1							, _lowercase						),
					    get_neighbors_pixel(_lowercase							, x_coordinate - 1							, y_coordinate - 1							, _lowercase						),
					]

					# Converting the binary value to decimal.
					return sum(
					    binary_value * power for binary_value, power in zip(_lowercase							, _lowercase						)						)


if __name__ == "__main__":
					# Reading the image and converting it to grayscale.
					UpperCAmelCase       :    List[str]									=			cva.imread(
					    "digital_image_processing/image_data/lena.jpg", cva.IMREAD_GRAYSCALE
					)

					# Create a numpy array as the same height and width of read image
					UpperCAmelCase       :    Dict									=			np.zeros((image.shape[0], image.shape[1]))

					# Iterating through the image and calculating the
					# local binary pattern value for each pixel.
					for i in range(0, image.shape[0]):
										for j in range(0, image.shape[1]):
															UpperCAmelCase       :    List[Any]									=			local_binary_value(image, i, j)

					cva.imshow("local binary pattern", lbp_image)
					cva.waitKey(0)
					cva.destroyAllWindows()







"""simple docstring"""




import math
from collections.abc import Generator



def 				__a       (			_lowercase						):







					"""simple docstring"""





					lowerCamelCase__		:   Generator  				=					(i for i in range(1							, (max_n + 1)						))
					for i in (n for n in numbers if n > 1):
										for j in range(2							, _lowercase						):
															if (i % j) == 0:
																				break
										else:
															yield i



def 				__a       (			_lowercase						):







					"""simple docstring"""





					lowerCamelCase__		:   Generator  				=					(i for i in range(1							, (max_n + 1)						))
					for i in (n for n in numbers if n > 1):
										# only need to check for factors up to sqrt(i)
										lowerCamelCase__		:   Tuple  				=					int(math.sqrt(_lowercase						)						) + 1
										for j in range(2							, _lowercase						):
															if (i % j) == 0:
																				break
										else:
															yield i



def 				__a       (			_lowercase						):







					"""simple docstring"""





					lowerCamelCase__		:   Generator  				=					(i for i in range(1							, (max_n + 1)							, 2						))
					# It's useless to test even numbers as they will not be prime
					if max_n > 2:
										yield 2  # Because 2 will not be tested, it's necessary to yield it now
					for i in (n for n in numbers if n > 1):
										lowerCamelCase__		:   Union[str, Any]  				=					int(math.sqrt(_lowercase						)						) + 1
										for j in range(3							, _lowercase							, 2						):
															# As we removed the even numbers, we don't need them now
															if (i % j) == 0:
																				break
										else:
															yield i



def 				__a       (			):







					"""simple docstring"""





					from timeit import timeit

					lowerCamelCase__		:   Any  				=					'''from __main__ import slow_primes, primes, fast_primes'''
					print(timeit('''slow_primes(1_000_000_000_000)'''							, setup=_lowercase							, number=1000000						)						)
					print(timeit('''primes(1_000_000_000_000)'''							, setup=_lowercase							, number=1000000						)						)
					print(timeit('''fast_primes(1_000_000_000_000)'''							, setup=_lowercase							, number=1000000						)						)


if __name__ == "__main__":
					UpperCAmelCase       :    Tuple									=			int(input("Calculate primes up to:\n>> ").strip())
					for ret in primes(number):
										print(ret)
					benchmark()






