



import math
import sys

import cva
import numpy as np



def 			_lowerCAmelCase       (					__lowerCAmelCase  ,  __lowerCAmelCase      )   ->					Tuple:


				"""simple docstring"""

				snake_case__	:      List[Any]     		=	math.sqrt(__snake_case      )
				snake_case__	:      Tuple     		=	1 / (sigma * math.sqrt(2 * math.pi      ))
				return cons * np.exp(-((img / sigma) ** 2) * 0.5      )



def 			_lowerCAmelCase       (					__lowerCAmelCase  ,  __lowerCAmelCase  ,  __lowerCAmelCase  ,  __lowerCAmelCase      )   ->					Union[str, Any]:


				"""simple docstring"""

				snake_case__	:      Optional[int]     		=	kernel_size // 2
				return img[x - half : x + half + 1, y - half : y + half + 1]



def 			_lowerCAmelCase       (					__lowerCAmelCase  ,  __lowerCAmelCase      )   ->					Any:


				"""simple docstring"""

				snake_case__	:      int     		=	np.zeros((kernel_size, kernel_size)      )
				for i in range(0  ,  __snake_case      ):
								for j in range(0  ,  __snake_case      ):
												snake_case__	:      str     		=	math.sqrt(
												    abs(i - kernel_size // 2      ) ** 2 + abs(j - kernel_size // 2      ) ** 2      )
				return vec_gaussian(__snake_case  ,  __snake_case      )



def 			_lowerCAmelCase       (					__lowerCAmelCase  ,  __lowerCAmelCase  ,  __lowerCAmelCase  ,  __lowerCAmelCase  ,  )   ->					Dict:


				"""simple docstring"""

				snake_case__	:      Optional[Any]     		=	np.zeros(img.shape      )
				snake_case__	:      int     		=	get_gauss_kernel(__snake_case  ,  __snake_case      )
				snake_case__		, snake_case__	:      Any     		=	img.shape
				for i in range(kernel_size // 2  ,  size_x - kernel_size // 2      ):
								for j in range(kernel_size // 2  ,  size_y - kernel_size // 2      ):
												snake_case__	:      int     		=	get_slice(__snake_case  ,  __snake_case  ,  __snake_case  ,  __snake_case      )
												snake_case__	:      int     		=	img_s - img_s[kernel_size // 2, kernel_size // 2]
												snake_case__	:      Any     		=	vec_gaussian(__snake_case  ,  __snake_case      )
												snake_case__	:      Union[str, Any]     		=	np.multiply(__snake_case  ,  __snake_case      )
												snake_case__	:      Optional[int]     		=	np.multiply(__snake_case  ,  __snake_case      )
												snake_case__	:      List[str]     		=	np.sum(__snake_case      ) / np.sum(__snake_case      )
												snake_case__	:      Tuple     		=	val
				return imga



def 			_lowerCAmelCase       (					__lowerCAmelCase      )   ->					Union[str, Any]:


				"""simple docstring"""

				snake_case__	:      Optional[int]     		=	args[1] if args[1:] else '''../image_data/lena.jpg'''
				snake_case__	:      Optional[Any]     		=	float(args[2]      ) if args[2:] else 1.0
				snake_case__	:      Union[str, Any]     		=	float(args[3]      ) if args[3:] else 1.0
				if args[4:]:
								snake_case__	:      Optional[int]     		=	int(args[4]      )
								snake_case__	:      Optional[Any]     		=	kernel_size + abs(kernel_size % 2 - 1      )
				else:
								snake_case__	:      Optional[int]     		=	5
				return filename, spatial_variance, intensity_variance, kernel_size


if __name__ == "__main__":
				A__								=						parse_args(sys.argv)
				A__								=						cva.imread(filename, 0)
				cva.imshow('''input image''', img)

				A__								=						img / 255
				A__								=						out.astype('''float32''')
				A__								=						bilateral_filter(out, spatial_variance, intensity_variance, kernel_size)
				A__								=						out * 255
				A__								=						np.uinta(out)
				cva.imshow('''output image''', out)
				cva.waitKey(0)
				cva.destroyAllWindows()









"""simple docstring"""



# Author: OMKAR PATHAK, Nwachukwu Chidiebere

# Use a Python dictionary to construct the graph.
from __future__ import annotations

from pprint import pformat
from typing import Generic, TypeVar

_UpperCamelCase		:  Optional[Any]						=		TypeVar('T')

class        a     (   Generic[T]	):







    def __init__(			self							,		_lowerCamelCase = True       ):
      lowercase							    =       {}  # dictionary of lists
      lowercase							    =       directed







    def 			UpperCamelCase_      (			self							,		_lowerCamelCase							,		_lowerCamelCase       ):

      if not self.directed:  # For undirected graphs
        # if both source vertex and destination vertex are both present in the
        # adjacency list, add destination vertex to source vertex list of adjacent
        # vertices and add source vertex to destination vertex list of adjacent
        # vertices.
        if source_vertex in self.adj_list and destination_vertex in self.adj_list:
          self.adj_list[source_vertex].append(_lowerCamelCase       )
          self.adj_list[destination_vertex].append(_lowerCamelCase       )
        # if only source vertex is present in adjacency list, add destination vertex
        # to source vertex list of adjacent vertices, then create a new vertex with
        # destination vertex as key and assign a list containing the source vertex
        # as it's first adjacent vertex.
        elif source_vertex in self.adj_list:
          self.adj_list[source_vertex].append(_lowerCamelCase       )
          lowercase							    =       [source_vertex]
        # if only destination vertex is present in adjacency list, add source vertex
        # to destination vertex list of adjacent vertices, then create a new vertex
        # with source vertex as key and assign a list containing the source vertex
        # as it's first adjacent vertex.
        elif destination_vertex in self.adj_list:
          self.adj_list[destination_vertex].append(_lowerCamelCase       )
          lowercase							    =       [destination_vertex]
        # if both source vertex and destination vertex are not present in adjacency
        # list, create a new vertex with source vertex as key and assign a list
        # containing the destination vertex as it's first adjacent vertex also
        # create a new vertex with destination vertex as key and assign a list
        # containing the source vertex as it's first adjacent vertex.
        else:
          lowercase							    =       [destination_vertex]
          lowercase							    =       [source_vertex]
      else:  # For directed graphs
        # if both source vertex and destination vertex are present in adjacency
        # list, add destination vertex to source vertex list of adjacent vertices.
        if source_vertex in self.adj_list and destination_vertex in self.adj_list:
          self.adj_list[source_vertex].append(_lowerCamelCase       )
        # if only source vertex is present in adjacency list, add destination
        # vertex to source vertex list of adjacent vertices and create a new vertex
        # with destination vertex as key, which has no adjacent vertex
        elif source_vertex in self.adj_list:
          self.adj_list[source_vertex].append(_lowerCamelCase       )
          lowercase							    =       []
        # if only destination vertex is present in adjacency list, create a new
        # vertex with source vertex as key and assign a list containing destination
        # vertex as first adjacent vertex
        elif destination_vertex in self.adj_list:
          lowercase							    =       [destination_vertex]
        # if both source vertex and destination vertex are not present in adjacency
        # list, create a new vertex with source vertex as key and a list containing
        # destination vertex as it's first adjacent vertex. Then create a new vertex
        # with destination vertex as key, which has no adjacent vertex
        else:
          lowercase							    =       [destination_vertex]
          lowercase							    =       []

      return self







    def __repr__(			self       ):
      return pformat(self.adj_list       )


