




import math
import sys

import cva
import numpy as np

def lowercase    (  SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )			->							np.ndarray:


			'''simple docstring'''







			SCREAMING_SNAKE_CASE_								=						math.sqrt(SCREAMING_SNAKE_CASE )
			SCREAMING_SNAKE_CASE_								=						1 / (sigma * math.sqrt(2 * math.pi ))
			return cons * np.exp(-((img / sigma) ** 2) * 0.5 )

def lowercase    (  SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )			->							np.ndarray:


			'''simple docstring'''







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

def lowercase    (  SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )			->							np.ndarray:


			'''simple docstring'''







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

def lowercase    (  SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    )			->							np.ndarray:


			'''simple docstring'''







			SCREAMING_SNAKE_CASE_								=						np.zeros(img.shape )
			SCREAMING_SNAKE_CASE_								=						get_gauss_kernel(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )
			SCREAMING_SNAKE_CASE_						,		SCREAMING_SNAKE_CASE_								=						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 ):
									SCREAMING_SNAKE_CASE_								=						get_slice(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )
									SCREAMING_SNAKE_CASE_								=						img_s - img_s[kernel_size // 2, kernel_size // 2]
									SCREAMING_SNAKE_CASE_								=						vec_gaussian(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )
									SCREAMING_SNAKE_CASE_								=						np.multiply(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )
									SCREAMING_SNAKE_CASE_								=						np.multiply(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )
									SCREAMING_SNAKE_CASE_								=						np.sum(SCREAMING_SNAKE_CASE ) / np.sum(SCREAMING_SNAKE_CASE )
									SCREAMING_SNAKE_CASE_								=						val
			return imga

def lowercase    (  SCREAMING_SNAKE_CASE )			->							tuple:


			'''simple docstring'''







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


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

				SCREAMING_SNAKE_CASE__     :     Tuple		    =       img / 2_55
				SCREAMING_SNAKE_CASE__     :     List[str]		    =       out.astype("float32")
				SCREAMING_SNAKE_CASE__     :     Dict		    =       bilateral_filter(out, spatial_variance, intensity_variance, kernel_size)
				SCREAMING_SNAKE_CASE__     :     Dict		    =       out * 2_55
				SCREAMING_SNAKE_CASE__     :     List[str]		    =       np.uinta(out)
				cva.imshow("output image", out)
				cva.waitKey(0)
				cva.destroyAllWindows()






def lowercase    (  SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )			->							Dict:


			'''simple docstring'''







			if index == r:
						for j in range(SCREAMING_SNAKE_CASE ):
									print(data[j]       ,    end=' ' )
						print(' ' )
						return
			#  When no more elements are there to put in data[]
			if i >= n:
						return
			# current is included, put next at next location
			SCREAMING_SNAKE_CASE_								=						arr[i]
			combination_util(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    index + 1       ,    SCREAMING_SNAKE_CASE       ,    i + 1 )
			# current is excluded, replace it with
			# next (Note that i+1 is passed, but
			# index is not changed)
			combination_util(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    i + 1 )
			# The main function that prints all combinations
			# of size r in arr[] of size n. This function
			# mainly uses combinationUtil()

def lowercase    (  SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )			->							Any:


			'''simple docstring'''







			SCREAMING_SNAKE_CASE_								=						[0] * r
			# Print all combination using temporary array 'data[]'
			combination_util(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    0       ,    SCREAMING_SNAKE_CASE       ,    0 )


if __name__ == "__main__":
				# Driver code to check the function above
				SCREAMING_SNAKE_CASE__     :     Dict		    =       [10, 20, 30, 40, 50]
				print_combination(arr, len(arr), 3)
				# This code is contributed by Ambuj sahu
