


'''simple docstring'''


from itertools import product

from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey
from numpy import dot, exp, mgrid, pi, ravel, square, uinta, zeros







def 			snake_case_   (  SCREAMING_SNAKE_CASE__							,      SCREAMING_SNAKE_CASE__     ):







				"""simple docstring"""





				_SCREAMING_SNAKE_CASE :       Union[str, Any]     		=      k_size // 2
				_SCREAMING_SNAKE_CASE		,       _SCREAMING_SNAKE_CASE :       str     		=      mgrid[0 - center : k_size - center, 0 - center : k_size - center]
				_SCREAMING_SNAKE_CASE :       List[str]     		=      1 / (2 * pi * sigma) * exp(-(square(SCREAMING_SNAKE_CASE__     ) + square(SCREAMING_SNAKE_CASE__     )) / (2 * square(SCREAMING_SNAKE_CASE__     ))     )
				return g







def 			snake_case_   (  SCREAMING_SNAKE_CASE__							,      SCREAMING_SNAKE_CASE__							,      SCREAMING_SNAKE_CASE__     ):







				"""simple docstring"""





				_SCREAMING_SNAKE_CASE		,       _SCREAMING_SNAKE_CASE :       Any     		=      image.shape[0], image.shape[1]
				# dst image height and width
				_SCREAMING_SNAKE_CASE :       Optional[int]     		=      height - k_size + 1
				_SCREAMING_SNAKE_CASE :       Optional[Any]     		=      width - k_size + 1

				# im2col, turn the k_size*k_size pixels into a row and np.vstack all rows
				_SCREAMING_SNAKE_CASE :       Any     		=      zeros((dst_height * dst_width, k_size * k_size)     )
				_SCREAMING_SNAKE_CASE :       Any     		=      0
				for i, j in product(range(SCREAMING_SNAKE_CASE__     )							,      range(SCREAMING_SNAKE_CASE__     )     ):
								_SCREAMING_SNAKE_CASE :       Optional[int]     		=      ravel(image[i : i + k_size, j : j + k_size]     )
								_SCREAMING_SNAKE_CASE :       List[Any]     		=      window
								row += 1

				#  turn the kernel into shape(k*k, 1)
				_SCREAMING_SNAKE_CASE :       Optional[Any]     		=      gen_gaussian_kernel(SCREAMING_SNAKE_CASE__							,      SCREAMING_SNAKE_CASE__     )
				_SCREAMING_SNAKE_CASE :       Optional[Any]     		=      ravel(SCREAMING_SNAKE_CASE__     )

				# reshape and get the dst image
				_SCREAMING_SNAKE_CASE :       Optional[Any]     		=      dot(SCREAMING_SNAKE_CASE__							,      SCREAMING_SNAKE_CASE__     ).reshape(SCREAMING_SNAKE_CASE__							,      SCREAMING_SNAKE_CASE__     ).astype(SCREAMING_SNAKE_CASE__     )

				return dst


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

				# get values with two different mask size
				UpperCAmelCase_		:   Dict							   =		gaussian_filter(gray, 3, sigma=1)
				UpperCAmelCase_		:   Dict							   =		gaussian_filter(gray, 5, sigma=0.8)

				# show result images
				imshow('gaussian filter with 3x3 mask', gaussianaxa)
				imshow('gaussian filter with 5x5 mask', gaussianaxa)
				waitKey()








'''simple docstring'''


def 			snake_case_   (  SCREAMING_SNAKE_CASE__     ):







				"""simple docstring"""





				_SCREAMING_SNAKE_CASE :       str     		=      0
				for ch in input_str:
								_SCREAMING_SNAKE_CASE :       Optional[Any]     		=      ord(SCREAMING_SNAKE_CASE__     )
								_SCREAMING_SNAKE_CASE :       Union[str, Any]     		=      pow(2							,      SCREAMING_SNAKE_CASE__     )

								# If we already turned on bit for current character's unicode
								if bitmap >> ch_unicode & 1 == 1:
												return False
								bitmap |= ch_bit_index_on
				return True


if __name__ == "__main__":
				import doctest

				doctest.testmod()




