
"""simple docstring"""


from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey
from numpy import array, dot, pad, ravel, uinta, zeros



def     _lowerCamelCase(__UpperCamelCase    , __UpperCamelCase       )				-> Any:
	_lowerCAmelCase						,							_lowerCAmelCase								=image.shape
	_lowerCAmelCase								=cols - block_size[1] + 1
	_lowerCAmelCase								=rows - block_size[0] + 1
	_lowerCAmelCase								=zeros((dst_height * dst_width, block_size[1] * block_size[0])       )
	_lowerCAmelCase								=0
	for i in range(0    , __UpperCamelCase       ):
		for j in range(0    , __UpperCamelCase       ):
			_lowerCAmelCase								=ravel(image[i : i + block_size[0], j : j + block_size[1]]       )
			_lowerCAmelCase								=window
			row += 1

	return image_array



def     _lowerCamelCase(__UpperCamelCase    , __UpperCamelCase       )				-> Dict:
	_lowerCAmelCase						,							_lowerCAmelCase								=image.shape[0], image.shape[1]
	_lowerCAmelCase								=filter_kernel.shape[0]
	_lowerCAmelCase								=k_size // 2
	# Pads image with the edge values of array.
	_lowerCAmelCase								=pad(__UpperCamelCase    , __UpperCamelCase    , mode="""edge"""       )

	# im2col, turn the k_size*k_size pixels into a row and np.vstack all rows
	_lowerCAmelCase								=imacol(__UpperCamelCase    , (k_size, k_size)       )

	#  turn the kernel into shape(k*k, 1)
	_lowerCAmelCase								=ravel(__UpperCamelCase       )
	# reshape and get the dst image
	_lowerCAmelCase								=dot(__UpperCamelCase    , __UpperCamelCase       ).reshape(__UpperCamelCase    , __UpperCamelCase       )
	return dst


if __name__ == "__main__":
			# read original image
			__A       						=       imread(r'../image_data/lena.jpg')
			# turn image in gray scale value
			__A       						=       cvtColor(img, COLOR_BGR2GRAY)
			# Laplace operator
			__A       						=       array([[0, 1, 0], [1, -4, 1], [0, 1, 0]])
			__A       						=       img_convolve(gray, Laplace_kernel).astype(uinta)
			imshow('Laplacian', out)
			waitKey(0)





"""simple docstring"""


def     _lowerCamelCase(__UpperCamelCase       )				-> list:
	_lowerCAmelCase								=[True for i in range(n + 1       )]
	_lowerCAmelCase								=[i - 1 for i in range(n + 1       )]
	_lowerCAmelCase								=[]
	for i in range(2    , n + 1       ):
		if is_prime[i]:
			primes.append(__UpperCamelCase       )
		for j in range(0    , len(__UpperCamelCase       )       ):
			if i * primes[j] >= n:
				break
			_lowerCAmelCase								=False

			if i % primes[j] == 0:
				_lowerCAmelCase								=totients[i] * primes[j]
				break

			_lowerCAmelCase								=totients[i] * (primes[j] - 1)

	return totients


if __name__ == "__main__":
			import doctest

			doctest.testmod()



