


class A  :






      def __init__( self						:					Tuple      ,       lowercase_						:					Optional[int]			) ->						List[Any]:
             """simple docstring"""




             _lowerCamelCase	:		Dict          =data
             _lowerCamelCase	:		Optional[int]          =None
             _lowerCamelCase	:		Dict          =None






      def __str__( self						:					Union[str, Any]			) ->						Optional[int]:
             """simple docstring"""




             return F'''{self.data}'''




class A  :






      def __init__( self						:					str			) ->						Union[str, Any]:
             """simple docstring"""




             _lowerCamelCase	:		Optional[int]          =None
             _lowerCamelCase	:		Union[str, Any]          =None






      def __iter__( self						:					int			) ->						str:
             """simple docstring"""




             _lowerCamelCase	:		Tuple          =self.head
             while node:
                    yield node.data
                    _lowerCamelCase	:		List[str]          =node.next






      def __str__( self						:					Any			) ->						Union[str, Any]:
             """simple docstring"""




             return "->".join([str(snake_case_			) for item in self]			)






      def __len__( self						:					str			) ->						Any:
             """simple docstring"""




             return sum(1 for _ in self			)






      def 	lowerCamelCase	( self						:					Optional[Any]      ,       lowercase_						:					List[Any]			) ->						str:
             """simple docstring"""




             self.insert_at_nth(0      ,       snake_case_			)






      def 	lowerCamelCase	( self						:					int      ,       lowercase_						:					Dict			) ->						Optional[int]:
             """simple docstring"""




             self.insert_at_nth(len(self			)      ,       snake_case_			)






      def 	lowerCamelCase	( self						:					int      ,       lowercase_						:					List[str]      ,       lowercase_						:					List[Any]			) ->						List[str]:
             """simple docstring"""




             _lowerCamelCase	:		Dict          =len(self			)

             if not 0 <= index <= length:
                    raise IndexError('list index out of range'			)
             _lowerCamelCase	:		Dict          =Node(snake_case_			)
             if self.head is None:
                    _lowerCamelCase	:		List[Any]          =new_node
             elif index == 0:
                    _lowerCamelCase	:		int          =new_node
                    _lowerCamelCase	:		Optional[Any]          =self.head
                    _lowerCamelCase	:		Optional[int]          =new_node
             elif index == length:
                    _lowerCamelCase	:		Optional[int]          =new_node
                    _lowerCamelCase	:		str          =self.tail
                    _lowerCamelCase	:		Union[str, Any]          =new_node
             else:
                    _lowerCamelCase	:		Optional[int]          =self.head
                    for _ in range(0      ,       snake_case_			):
                           _lowerCamelCase	:		Optional[Any]          =temp.next
                    _lowerCamelCase	:		Optional[int]          =new_node
                    _lowerCamelCase	:		Optional[Any]          =temp.previous
                    _lowerCamelCase	:		Optional[Any]          =temp
                    _lowerCamelCase	:		Optional[int]          =new_node






      def 	lowerCamelCase	( self						:					Union[str, Any]			) ->						List[str]:
             """simple docstring"""




             return self.delete_at_nth(0			)






      def 	lowerCamelCase	( self						:					List[Any]			) ->						Dict:
             """simple docstring"""




             return self.delete_at_nth(len(self			) - 1			)






      def 	lowerCamelCase	( self						:					int      ,       lowercase_						:					Optional[Any]			) ->						Optional[int]:
             """simple docstring"""




             _lowerCamelCase	:		str          =len(self			)

             if not 0 <= index <= length - 1:
                    raise IndexError('list index out of range'			)
             _lowerCamelCase	:		List[Any]          =self.head  # default first node
             if length == 1:
                    _lowerCamelCase	:		Any          =None
             elif index == 0:
                    _lowerCamelCase	:		int          =self.head.next
                    _lowerCamelCase	:		Any          =None
             elif index == length - 1:
                    _lowerCamelCase	:		Optional[int]          =self.tail
                    _lowerCamelCase	:		Dict          =self.tail.previous
                    _lowerCamelCase	:		Optional[Any]          =None
             else:
                    _lowerCamelCase	:		List[str]          =self.head
                    for _ in range(0      ,       snake_case_			):
                           _lowerCamelCase	:		Dict          =temp.next
                    _lowerCamelCase	:		List[Any]          =temp
                    _lowerCamelCase	:		Any          =temp.previous
                    _lowerCamelCase	:		Optional[int]          =temp.next
             return delete_node.data






      def 	lowerCamelCase	( self						:					List[str]      ,       lowercase_						:					Union[str, Any]			) ->						Tuple:
             """simple docstring"""




             _lowerCamelCase	:		Tuple          =self.head

             while current.data != data:  # Find the position to delete
                    if current.next:
                           _lowerCamelCase	:		Dict          =current.next
                    else:  # We have reached the end an no value matches
                           raise ValueError('No data matching given value'			)

             if current == self.head:
                    self.delete_head()

             elif current == self.tail:
                    self.delete_tail()

             else:  # Before: 1 <--> 2(current) <--> 3
                    _lowerCamelCase	:		List[str]          =current.next  # 1 --> 3
                    _lowerCamelCase	:		Any          =current.previous  # 1 <--> 3
             return data






      def 	lowerCamelCase	( self						:					int			) ->						int:
             """simple docstring"""




             return len(self			) == 0




def      a_				(   ):
       '''simple docstring'''





       _lowerCamelCase	:		Union[str, Any]          =DoublyLinkedList()
       assert linked_list.is_empty() is True
       assert str(_lowerCamelCase					) == ""

       try:
              linked_list.delete_head()
              raise AssertionError  # This should not happen.
       except IndexError:
              assert True  # This should happen.

       try:
              linked_list.delete_tail()
              raise AssertionError  # This should not happen.
       except IndexError:
              assert True  # This should happen.

       for i in range(10					):
              assert len(_lowerCamelCase					) == i
              linked_list.insert_at_nth(_lowerCamelCase		,      i + 1					)
       assert str(_lowerCamelCase					) == "->".join(str(_lowerCamelCase					) for i in range(1		,      11					)					)

       linked_list.insert_at_head(0					)
       linked_list.insert_at_tail(11					)
       assert str(_lowerCamelCase					) == "->".join(str(_lowerCamelCase					) for i in range(0		,      12					)					)

       assert linked_list.delete_head() == 0
       assert linked_list.delete_at_nth(9					) == 10
       assert linked_list.delete_tail() == 11
       assert len(_lowerCamelCase					) == 9
       assert str(_lowerCamelCase					) == "->".join(str(_lowerCamelCase					) for i in range(1		,      10					)					)


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

 testmod()






import numpy as np
from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey

from digital_image_processing.filters.convolve import img_convolve




def      a_				(   SCREAMING_SNAKE_CASE__ :				Optional[Any]					):
       '''simple docstring'''





       _lowerCamelCase	:		List[str]          =np.array([[-1, 0, 1], [-2, 0, 2], [-1, 0, 1]]					)
       _lowerCamelCase	:		Dict          =np.array([[1, 2, 1], [0, 0, 0], [-1, -2, -1]]					)

       _lowerCamelCase	:		Optional[Any]          =np.abs(img_convolve(SCREAMING_SNAKE_CASE__		,      SCREAMING_SNAKE_CASE__					)					)
       _lowerCamelCase	:		Optional[int]          =np.abs(img_convolve(SCREAMING_SNAKE_CASE__		,      SCREAMING_SNAKE_CASE__					)					)
       # modify the pix within [0, 255]
       _lowerCamelCase	:		Optional[int]          =dst_x * 255 / np.max(SCREAMING_SNAKE_CASE__					)
       _lowerCamelCase	:		Any          =dst_y * 255 / np.max(SCREAMING_SNAKE_CASE__					)

       _lowerCamelCase	:		Tuple          =np.sqrt((np.square(SCREAMING_SNAKE_CASE__					)) + (np.square(SCREAMING_SNAKE_CASE__					))					)
       _lowerCamelCase	:		int          =dst_xy * 255 / np.max(SCREAMING_SNAKE_CASE__					)
       _lowerCamelCase	:		int          =dst_xy.astype(np.uinta					)

       _lowerCamelCase	:		Optional[int]          =np.arctana(SCREAMING_SNAKE_CASE__		,      SCREAMING_SNAKE_CASE__					)
       return dst, theta


if __name__ == "__main__":
 # read original image
 lowerCamelCase						 =	imread('../image_data/lena.jpg')
 # turn image in gray scale value
 lowerCamelCase						 =	cvtColor(img, COLOR_BGR2GRAY)

 lowerCamelCase ,    lowerCamelCase						 =	sobel_filter(gray)

 # show result images
 imshow('sobel filter', sobel_grad)
 imshow('sobel theta', sobel_theta)
 waitKey(0)


