




'''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 						lowerCamelCase__   (				a    ,	a							):
						__snake_case						 =   k_size // 2
						__snake_case ,       __snake_case						 =   mgrid[0 - center : k_size - center, 0 - center : k_size - center]
						__snake_case						 =   1 / (2 * pi * sigma) * exp(-(square(a							) + square(a							)) / (2 * square(a							))							)
						return g
def 						lowerCamelCase__   (				a    ,	a    ,	a							):
						__snake_case ,       __snake_case						 =   image.shape[0], image.shape[1]
						# dst image height and width
						__snake_case						 =   height - k_size + 1
						__snake_case						 =   width - k_size + 1

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

						#  turn the kernel into shape(k*k, 1)
						__snake_case						 =   gen_gaussian_kernel(a    ,	a							)
						__snake_case						 =   ravel(a							)

						# reshape and get the dst image
						__snake_case						 =   dot(a    ,	a							).reshape(a    ,	a							).astype(a							)

						return dst


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

	# get values with two different mask size
	_lowercase  =			gaussian_filter(gray, 3, sigma=1)
	_lowercase  =			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 						lowerCamelCase__   (				a							):
						__snake_case						 =   int(a							)
						if n_element < 1:
												__snake_case						 =   ValueError('a should be a positive number'							)
												raise my_error

						__snake_case						 =   [1]
						__snake_case ,       __snake_case ,       __snake_case						 =   (0, 0, 0)
						__snake_case						 =   1
						while index < n_element:
												while hamming_list[i] * 2 <= hamming_list[-1]:
																		i += 1
												while hamming_list[j] * 3 <= hamming_list[-1]:
																		j += 1
												while hamming_list[k] * 5 <= hamming_list[-1]:
																		k += 1
												hamming_list.append(
												    min(hamming_list[i] * 2    ,	hamming_list[j] * 3    ,	hamming_list[k] * 5							)							)
												index += 1
						return hamming_list


if __name__ == "__main__":
	_lowercase  =			input("""Enter the last number (nth term) of the Hamming Number Series: """)
	print("""Formula of Hamming Number Series => 2^i * 3^j * 5^k""")
	_lowercase  =			hamming(int(n))
	print("""-----------------------------------------------------""")
	print(f'''The list with nth numbers is: {hamming_numbers}''')
	print("""-----------------------------------------------------""")

