



"""simple docstring"""

from __future__ import annotations

from typing import Generic, TypeVar

lowercase__			   =  TypeVar("T")




class SCREAMING_SNAKE_CASE__					(		Generic[T]      ):



						def __init__(self						,     _lowercase							):





													'''simple docstring'''

													__a		:		List[Any]									=       data
													__a		:		Tuple									=       self
													__a		:		str									=       0







class SCREAMING_SNAKE_CASE__					(		Generic[T]      ):



						def __init__(self							):





													'''simple docstring'''

													__a		:		dict[T, DisjointSetTreeNode[T]]									=       {}



						def     lowerCAmelCase__(self						,     _lowercase							):





													'''simple docstring'''

													__a		:		List[Any]									=       DisjointSetTreeNode(_lowercase							)



						def     lowerCAmelCase__(self						,     _lowercase							):





													'''simple docstring'''

													__a		:		Union[str, Any]									=       self.map[data]
													if elem_ref != elem_ref.parent:
																				__a		:		List[str]									=       self.find_set(elem_ref.parent.data							)
													return elem_ref.parent



						def     lowerCAmelCase__(self						,     _lowercase						,     _lowercase							):





													'''simple docstring'''

													if nodea.rank > nodea.rank:
																				__a		:		List[str]									=       nodea
													else:
																				__a		:		int									=       nodea
																				if nodea.rank == nodea.rank:
																											nodea.rank += 1





						def     lowerCAmelCase__(self						,     _lowercase						,     _lowercase							):





													'''simple docstring'''

													self.link(self.find_set(_lowercase							)						,     self.find_set(_lowercase							)							)







class SCREAMING_SNAKE_CASE__					(		Generic[T]      ):



						def __init__(self							):





													'''simple docstring'''

													__a		:		dict[T, dict[T, int]]									=       {}



						def     lowerCAmelCase__(self						,     _lowercase							):





													'''simple docstring'''

													if node not in self.connections:
																				__a		:		List[str]									=       {}



						def     lowerCAmelCase__(self						,     _lowercase						,     _lowercase						,     _lowercase							):





													'''simple docstring'''

													self.add_node(_lowercase							)
													self.add_node(_lowercase							)
													__a		:		Optional[Any]									=       weight
													__a		:		Tuple									=       weight





						def     lowerCAmelCase__(self							):





													'''simple docstring'''

													__a		:		str									=       []
													__a		:		Tuple									=       set()
													for start in self.connections:
																				for end in self.connections[start]:
																											if (start, end) not in seen:
																																		seen.add((end, start)							)
																																		edges.append((start, end, self.connections[start][end])							)
													edges.sort(key=lambda _lowercase							: x[2]							)

													# creating the disjoint set
													__a		:		Union[str, Any]									=       DisjointSetTree[T]()
													for node in self.connections:
																				disjoint_set.make_set(_lowercase							)

													# MST generation
													__a		:		Optional[int]									=       0
													__a		:		Optional[Any]									=       0
													__a		:		List[Any]									=       GraphUndirectedWeighted[T]()
													while num_edges < len(self.connections							) - 1:
																				__a							,     __a							,     __a		:		Any									=       edges[index]
																				index += 1
																				__a		:		List[str]									=       disjoint_set.find_set(_lowercase							)
																				__a		:		Any									=       disjoint_set.find_set(_lowercase							)
																				if parent_u != parent_v:
																											num_edges += 1
																											graph.add_edge(_lowercase						,     _lowercase						,     _lowercase							)
																											disjoint_set.union(_lowercase						,     _lowercase							)
													return graph






"""simple docstring"""

import math
import sys

import cva
import numpy as np





def       __magic_name__    (   _lowerCamelCase				: np.ndarray  ,       _lowerCamelCase				: float					):
							# For applying gaussian function for each element in matrix.
							__a		:		int									=       math.sqrt(_lowerCamelCase					)
							__a		:		Any									=       1 / (sigma * math.sqrt(2 * math.pi					))
							return cons * np.exp(-((img / sigma) ** 2) * 0.5					)





def       __magic_name__    (   _lowerCamelCase				: np.ndarray  ,       _lowerCamelCase				: int  ,       _lowerCamelCase				: int  ,       _lowerCamelCase				: int					):
							__a		:		Any									=       kernel_size // 2
							return img[x - half : x + half + 1, y - half : y + half + 1]





def       __magic_name__    (   _lowerCamelCase				: int  ,       _lowerCamelCase				: float					):
							# Creates a gaussian kernel of given dimension.
							__a		:		int									=       np.zeros((kernel_size, kernel_size)					)
							for i in range(0  ,       _lowerCamelCase					):
														for j in range(0  ,       _lowerCamelCase					):
																					__a		:		Any									=       math.sqrt(
																					    abs(i - kernel_size // 2					) ** 2 + abs(j - kernel_size // 2					) ** 2					)
							return vec_gaussian(_lowerCamelCase  ,       _lowerCamelCase					)





def       __magic_name__    (   _lowerCamelCase				: np.ndarray  ,       _lowerCamelCase				: float  ,       _lowerCamelCase				: float  ,       _lowerCamelCase				: int  ,       ):
							__a		:		Tuple									=       np.zeros(img.shape					)
							__a		:		Optional[int]									=       get_gauss_kernel(_lowerCamelCase  ,       _lowerCamelCase					)
							__a							,     __a		:		int									=       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					):
																					__a		:		List[str]									=       get_slice(_lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase					)
																					__a		:		Any									=       img_s - img_s[kernel_size // 2, kernel_size // 2]
																					__a		:		Optional[Any]									=       vec_gaussian(_lowerCamelCase  ,       _lowerCamelCase					)
																					__a		:		Optional[Any]									=       np.multiply(_lowerCamelCase  ,       _lowerCamelCase					)
																					__a		:		Any									=       np.multiply(_lowerCamelCase  ,       _lowerCamelCase					)
																					__a		:		Tuple									=       np.sum(_lowerCamelCase					) / np.sum(_lowerCamelCase					)
																					__a		:		Optional[Any]									=       val
							return imga





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


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

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

