




"""simple docstring"""

def   UpperCamelCase__     (		lowercase__  :     int       ,     lowercase__  :     int = 1000   ):
		if (not isinstance(lowercase__       ,     lowercase__   )) or (digit_position <= 0):
				raise ValueError("Digit position must be a positive integer"   )
		elif (not isinstance(lowercase__       ,     lowercase__   )) or (precision < 0):
				raise ValueError("Precision must be a nonnegative integer"   )

		# compute an approximation of (16 ** (n - 1)) * pi whose fractional part is mostly
		# accurate
		snake_case		:						List[str]								=				(
		    4 * _subsum(lowercase__       ,     1       ,     lowercase__   )
		    - 2 * _subsum(lowercase__       ,     4       ,     lowercase__   )
		    - _subsum(lowercase__       ,     5       ,     lowercase__   )
		    - _subsum(lowercase__       ,     6       ,     lowercase__   )
		)

		# return the first hex digit of the fractional part of the result
		return hex(int((sum_result % 1) * 16   )   )[2:]



def   UpperCamelCase__     (		lowercase__  :     int       ,     lowercase__  :     int       ,     lowercase__  :     int   ):
		snake_case		:						List[Any]								=				0.0
		for sum_index in range(digit_pos_to_extract + precision   ):
				snake_case		:						Optional[Any]								=				8 * sum_index + denominator_addend
				if sum_index < digit_pos_to_extract:
						# if the exponential term is an integer and we mod it by the denominator
						# before dividing, only the integer part of the sum will change;
						# the fractional part will not
						snake_case		:						int								=				pow(
						    16       ,     digit_pos_to_extract - 1 - sum_index       ,     lowercase__   )
				else:
						snake_case		:						Optional[Any]								=				pow(16       ,     digit_pos_to_extract - 1 - sum_index   )
				total += exponential_term / denominator
		return total


if __name__ == "__main__":
							import doctest

							doctest.testmod()







"""simple docstring"""

import numpy as np
from cva import destroyAllWindows, imread, imshow, waitKey
class 			lowerCamelCase__    :


			def __init__(     self				, SCREAMING_SNAKE_CASE				, SCREAMING_SNAKE_CASE							):



					"""simple docstring"""







					snake_case		:						int								=				0
					# max greyscale value for #FFFFFF
					snake_case		:						List[str]								=				int(self.get_greyscale(255				, 255				, 255							)							)

					if not self.min_threshold < threshold < self.max_threshold:
							snake_case		:						Union[str, Any]								=				F'''Factor value should be from 0 to {self.max_threshold}'''
							raise ValueError(SCREAMING_SNAKE_CASE							)

					snake_case		:						str								=				input_img
					snake_case		:						Optional[Any]								=				threshold
					snake_case			,				snake_case		:						List[str]								=				self.input_img.shape[1], self.input_img.shape[0]

					# error table size (+4 columns and +1 row) greater than input image because of
					# lack of if statements
					snake_case		:						Union[str, Any]								=				[
					    [0 for _ in range(self.height + 4							)] for __ in range(self.width + 1							)
					]
					snake_case		:						Tuple								=				np.ones((self.width, self.height, 3)				, np.uinta							) * 255


			@classmethod
			def 							lowerCamelCase_				(     cls				, SCREAMING_SNAKE_CASE				, SCREAMING_SNAKE_CASE				, SCREAMING_SNAKE_CASE							):



					"""simple docstring"""







					return 0.1_14 * blue + 0.5_87 * green + 0.21_26 * red



			def 							lowerCamelCase_				(     self							):



					"""simple docstring"""







					for y in range(self.height							):
							for x in range(self.width							):
									snake_case		:						Dict								=				int(self.get_greyscale(*self.input_img[y][x]							)							)
									if self.threshold > greyscale + self.error_table[y][x]:
											snake_case		:						List[str]								=				(0, 0, 0)
											snake_case		:						List[Any]								=				greyscale + self.error_table[x][y]
									else:
											snake_case		:						int								=				(255, 255, 255)
											snake_case		:						Tuple								=				greyscale + self.error_table[x][y] - 255
									self.error_table[y][x + 1] += int(8 / 32 * current_error							)
									self.error_table[y][x + 2] += int(4 / 32 * current_error							)
									self.error_table[y + 1][x] += int(8 / 32 * current_error							)
									self.error_table[y + 1][x + 1] += int(4 / 32 * current_error							)
									self.error_table[y + 1][x + 2] += int(2 / 32 * current_error							)
									self.error_table[y + 1][x - 1] += int(4 / 32 * current_error							)
									self.error_table[y + 1][x - 2] += int(2 / 32 * current_error							)


if __name__ == "__main__":
							# create Burke's instances with original images in greyscale
							__A 		=			[
							    Burkes(imread("image_data/lena.jpg", 1), threshold)
							    for threshold in (1, 126, 130, 140)
							]

							for burkes in burkes_instances:
														burkes.process()

							for burkes in burkes_instances:
														imshow(
														    f'Original image with dithering threshold: {burkes.threshold}',
														    burkes.output_img,
														)

							waitKey(0)
							destroyAllWindows()

