




import numpy as np
from cva import destroyAllWindows, imread, imshow, waitKey

class   UpperCAmelCase    :






   def __init__(						self :							str    ,       UpperCamelCase_ :							Optional[int]    ,       UpperCamelCase_ :							Any  )->      Union[str, Any]:
     _lowercase:			Any      =     0
     # max greyscale value for #FFFFFF
     _lowercase:			Union[str, Any]      =     int(self.get_greyscale(2_55    ,       2_55    ,       2_55  )  )

     if not self.min_threshold < threshold < self.max_threshold:
       _lowercase:			Dict      =     f'Factor value should be from 0 to {self.max_threshold}'
       raise ValueError(__UpperCAmelCase  )

     _lowercase:			Optional[int]      =     input_img
     _lowercase:			int      =     threshold
     _lowercase:			Tuple      =     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
     _lowercase:			int      =     [
         [0 for _ in range(self.height + 4  )] for __ in range(self.width + 1  )
     ]
     _lowercase:			Optional[Any]      =     np.ones((self.width, self.height, 3)    ,       np.uinta  ) * 2_55






   @classmethod
   def 			_a    (						cls :							List[str]    ,       UpperCamelCase_ :							str    ,       UpperCamelCase_ :							List[str]    ,       UpperCamelCase_ :							Optional[int]  )->      float:
     return 0.114 * blue + 0.587 * green + 0.2_126 * red






   def 			_a    (						self :							int  )->      None:
     for y in range(self.height  ):
       for x in range(self.width  ):
         _lowercase:			List[str]      =     int(self.get_greyscale(*self.input_img[y][x]  )  )
         if self.threshold > greyscale + self.error_table[y][x]:
           _lowercase:			Union[str, Any]      =     (0, 0, 0)
           _lowercase:			Optional[Any]      =     greyscale + self.error_table[x][y]
         else:
           _lowercase:			Optional[int]      =     (2_55, 2_55, 2_55)
           _lowercase:			List[str]      =     greyscale + self.error_table[x][y] - 2_55
         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
   UpperCAmelCase__    :							List[Any]       		=     [
       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()





'''simple docstring'''
from __future__ import annotations


def 	lowercase_						( lowerCAmelCase__						:	int      ,				lowerCAmelCase__						:	int      ,				lowerCAmelCase__						:	int			):

			"""simple docstring"""





			assert (
			    c % greatest_common_divisor(lowerCAmelCase__      ,				lowerCAmelCase__			) == 0
			)  # greatest_common_divisor(a,b) function implemented below
			((__UpperCAmelCase)					,	(__UpperCAmelCase)					,	(__UpperCAmelCase)) :   int    					=  extended_gcd(lowerCAmelCase__      ,				lowerCAmelCase__			)  # extended_gcd(a,b) function implemented below
			__UpperCAmelCase :   Union[str, Any]    					=  c / d
			return (r * x, r * y)


def 	lowercase_						( lowerCAmelCase__						:	int      ,				lowerCAmelCase__						:	int      ,				lowerCAmelCase__						:	int      ,				lowerCAmelCase__						:	int = 2			):

			"""simple docstring"""





			((__UpperCAmelCase)					,	(__UpperCAmelCase)) :   List[str]    					=  diophantine(lowerCAmelCase__      ,				lowerCAmelCase__      ,				lowerCAmelCase__			)  # Initial value
			__UpperCAmelCase :   List[str]    					=  greatest_common_divisor(lowerCAmelCase__      ,				lowerCAmelCase__			)
			__UpperCAmelCase :   List[str]    					=  a // d
			__UpperCAmelCase :   Tuple    					=  b // d

			for i in range(lowerCAmelCase__			):
						__UpperCAmelCase :   List[Any]    					=  xa + i * q
						__UpperCAmelCase :   Tuple    					=  ya - i * p
						print(lowerCAmelCase__      ,				lowerCAmelCase__			)


def 	lowercase_						( lowerCAmelCase__						:	int      ,				lowerCAmelCase__						:	int			):

			"""simple docstring"""





			if a < b:
						__UpperCAmelCase					,	__UpperCAmelCase :   List[str]    					=  b, a

			while a % b != 0:
						__UpperCAmelCase					,	__UpperCAmelCase :   Optional[int]    					=  b, a % b

			return b


def 	lowercase_						( lowerCAmelCase__						:	int      ,				lowerCAmelCase__						:	int			):

			"""simple docstring"""





			assert a >= 0 and b >= 0

			if b == 0:
						__UpperCAmelCase					,	__UpperCAmelCase					,	__UpperCAmelCase :   List[str]    					=  a, 1, 0
			else:
						((__UpperCAmelCase)					,	(__UpperCAmelCase)					,	(__UpperCAmelCase)) :   str    					=  extended_gcd(lowerCAmelCase__      ,				a % b			)
						__UpperCAmelCase :   Optional[Any]    					=  q
						__UpperCAmelCase :   Dict    					=  p - q * (a // b)

			assert a % d == 0 and b % d == 0
			assert d == a * x + b * y

			return (d, x, y)


if __name__ == "__main__":
					from doctest import testmod

					testmod(name='''diophantine''', verbose=True)
					testmod(name='''diophantine_all_soln''', verbose=True)
					testmod(name='''extended_gcd''', verbose=True)
					testmod(name='''greatest_common_divisor''', verbose=True)




