


'''simple docstring'''

import math
import sys

import cva
import numpy as np





def lowerCamelCase      (      lowerCAmelCase    :     np.ndarray		,		lowerCAmelCase    :     float		):





	"""simple docstring"""







	__magic_name__	:   List[str]					     =					math.sqrt(lowerCAmelCase		)
	__magic_name__	:   Optional[Any]					     =					1 / (sigma * math.sqrt(2 * math.pi		))
	return cons * np.exp(-((img / sigma) ** 2) * 0.5		)





def lowerCamelCase      (      lowerCAmelCase    :     np.ndarray		,		lowerCAmelCase    :     int		,		lowerCAmelCase    :     int		,		lowerCAmelCase    :     int		):





	"""simple docstring"""







	__magic_name__	:   List[Any]					     =					kernel_size // 2
	return img[x - half : x + half + 1, y - half : y + half + 1]





def lowerCamelCase      (      lowerCAmelCase    :     int		,		lowerCAmelCase    :     float		):





	"""simple docstring"""







	__magic_name__	:   Tuple					     =					np.zeros((kernel_size, kernel_size)		)
	for i in range(0		,		lowerCAmelCase		):
		for j in range(0		,		lowerCAmelCase		):
			__magic_name__	:   Optional[int]					     =					math.sqrt(
			    abs(i - kernel_size // 2		) ** 2 + abs(j - kernel_size // 2		) ** 2		)
	return vec_gaussian(lowerCAmelCase		,		lowerCAmelCase		)





def lowerCamelCase      (      lowerCAmelCase    :     np.ndarray		,		lowerCAmelCase    :     float		,		lowerCAmelCase    :     float		,		lowerCAmelCase    :     int		,		):





	"""simple docstring"""







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





def lowerCamelCase      (      lowerCAmelCase    :     list		):





	"""simple docstring"""







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


if __name__ == "__main__":
							lowerCAmelCase     ,   lowerCAmelCase     ,   lowerCAmelCase     ,   lowerCAmelCase				:Union[str, Any]        =      parse_args(sys.argv)
							lowerCAmelCase				:int        =      cva.imread(filename, 0)
							cva.imshow('''input image''', img)

							lowerCAmelCase				:Tuple        =      img / 2_5_5
							lowerCAmelCase				:Optional[int]        =      out.astype('''float32''')
							lowerCAmelCase				:List[Any]        =      bilateral_filter(out, spatial_variance, intensity_variance, kernel_size)
							lowerCAmelCase				:Tuple        =      out * 2_5_5
							lowerCAmelCase				:Union[str, Any]        =      np.uinta(out)
							cva.imshow('''output image''', out)
							cva.waitKey(0)
							cva.destroyAllWindows()



'''simple docstring'''

import math





def lowerCamelCase      (      lowerCAmelCase    :     float		,		lowerCAmelCase    :     float		):





	"""simple docstring"""







	return math.pow(lowerCAmelCase		,		2		) - a





def lowerCamelCase      (      lowerCAmelCase    :     float		):





	"""simple docstring"""







	return 2 * x





def lowerCamelCase      (      lowerCAmelCase    :     float		):





	"""simple docstring"""







	__magic_name__	:   List[Any]					     =					2.0

	while start <= a:
		__magic_name__	:   List[str]					     =					math.pow(lowerCAmelCase		,		2		)

	return start





def lowerCamelCase      (      lowerCAmelCase    :     float		,		lowerCAmelCase    :     int = 9999		,		lowerCAmelCase    :     float = 0.00_0000_0000_0001		):





	"""simple docstring"""







	if a < 0:
		raise ValueError('math domain error'		)

	__magic_name__	:   Any					     =					get_initial_point(lowerCAmelCase		)

	for _ in range(lowerCAmelCase		):
		__magic_name__	:   List[str]					     =					value
		__magic_name__	:   Optional[int]					     =					value - fx(lowerCAmelCase		,		lowerCAmelCase		) / fx_derivative(lowerCAmelCase		)
		if abs(prev_value - value		) < tolerance:
			return value

	return value


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

							testmod()