



"""simple docstring"""
import cva
import numpy as np

from digital_image_processing.filters.convolve import img_convolve
from digital_image_processing.filters.sobel_filter import sobel_filter

__SCREAMING_SNAKE_CASE     :  List[Any]										=					1_8_0



def 				lowerCAmelCase_(      lowercase_   :							Union[str, Any]  ,      lowercase_   :							Tuple							)		->				Optional[Any]:
				_lowerCamelCase					     = k_size // 2
				_lowerCamelCase     ,   _lowerCamelCase					     = np.mgrid[0 - center : k_size - center, 0 - center : k_size - center]
				_lowerCamelCase					     = (
				    1
				    / (2 * np.pi * sigma)
				    * np.exp(-(np.square(lowercase_							) + np.square(lowercase_							)) / (2 * np.square(lowercase_							))							)
				)
				return g



def 				lowerCAmelCase_(      lowercase_   :							Dict  ,      lowercase_   :							Any  ,      lowercase_   :							Any							)		->				List[Any]:
				_lowerCamelCase					     = np.zeros(lowercase_							)

				for row in range(1  ,      image_shape[0] - 1							):
								for col in range(1  ,      image_shape[1] - 1							):
												_lowerCamelCase					     = gradient_direction[row, col]

												if (
												    0 <= direction < PI / 8
												    or 15 * PI / 8 <= direction <= 2 * PI
												    or 7 * PI / 8 <= direction <= 9 * PI / 8
												):
																_lowerCamelCase					     = sobel_grad[row, col - 1]
																_lowerCamelCase					     = sobel_grad[row, col + 1]
																if sobel_grad[row, col] >= w and sobel_grad[row, col] >= e:
																				_lowerCamelCase					     = sobel_grad[row, col]

												elif (
												    PI / 8 <= direction < 3 * PI / 8
												    or 9 * PI / 8 <= direction < 11 * PI / 8
												):
																_lowerCamelCase					     = sobel_grad[row + 1, col - 1]
																_lowerCamelCase					     = sobel_grad[row - 1, col + 1]
																if sobel_grad[row, col] >= sw and sobel_grad[row, col] >= ne:
																				_lowerCamelCase					     = sobel_grad[row, col]

												elif (
												    3 * PI / 8 <= direction < 5 * PI / 8
												    or 11 * PI / 8 <= direction < 13 * PI / 8
												):
																_lowerCamelCase					     = sobel_grad[row - 1, col]
																_lowerCamelCase					     = sobel_grad[row + 1, col]
																if sobel_grad[row, col] >= n and sobel_grad[row, col] >= s:
																				_lowerCamelCase					     = sobel_grad[row, col]

												elif (
												    5 * PI / 8 <= direction < 7 * PI / 8
												    or 13 * PI / 8 <= direction < 15 * PI / 8
												):
																_lowerCamelCase					     = sobel_grad[row - 1, col - 1]
																_lowerCamelCase					     = sobel_grad[row + 1, col + 1]
																if sobel_grad[row, col] >= nw and sobel_grad[row, col] >= se:
																				_lowerCamelCase					     = sobel_grad[row, col]

				return destination



def 				lowerCAmelCase_(      lowercase_   :							int  ,      lowercase_   :							Any  ,      lowercase_   :							List[str]  ,      lowercase_   :							List[str]  ,      lowercase_   :							Union[str, Any]  ,      lowercase_   :							Optional[int]							)		->				str:
				for row in range(1  ,      image_shape[0] - 1							):
								for col in range(1  ,      image_shape[1] - 1							):
												if destination[row, col] >= threshold_high:
																_lowerCamelCase					     = strong
												elif destination[row, col] <= threshold_low:
																_lowerCamelCase					     = 0
												else:
																_lowerCamelCase					     = weak



def 				lowerCAmelCase_(      lowercase_   :							int  ,      lowercase_   :							Optional[Any]  ,      lowercase_   :							Tuple  ,      lowercase_   :							List[Any]							)		->				int:
				for row in range(1  ,      image_shape[0]							):
								for col in range(1  ,      image_shape[1]							):
												if destination[row, col] == weak:
																if 2_55 in (
																    destination[row, col + 1],
																    destination[row, col - 1],
																    destination[row - 1, col],
																    destination[row + 1, col],
																    destination[row - 1, col - 1],
																    destination[row + 1, col - 1],
																    destination[row - 1, col + 1],
																    destination[row + 1, col + 1],
																):
																				_lowerCamelCase					     = strong
																else:
																				_lowerCamelCase					     = 0



def 				lowerCAmelCase_(      lowercase_   :							List[str]  ,      lowercase_   :							Any=15  ,      lowercase_   :							Any=30  ,      lowercase_   :							Union[str, Any]=1_28  ,      lowercase_   :							Any=2_55							)		->				Any:
				# gaussian_filter
				_lowerCamelCase					     = img_convolve(lowercase_  ,      gen_gaussian_kernel(9  ,      sigma=1.4							)							)
				# get the gradient and degree by sobel_filter
				_lowerCamelCase     ,   _lowerCamelCase					     = sobel_filter(lowercase_							)
				_lowerCamelCase					     = PI + np.radadeg(lowercase_							)

				_lowerCamelCase					     = suppress_non_maximum(image.shape  ,      lowercase_  ,      lowercase_							)

				detect_high_low_threshold(
				    image.shape  ,      lowercase_  ,      lowercase_  ,      lowercase_  ,      lowercase_  ,      lowercase_							)

				track_edge(image.shape  ,      lowercase_  ,      lowercase_  ,      lowercase_							)

				return destination


if __name__ == "__main__":
			# read original image in gray mode
			__SCREAMING_SNAKE_CASE     :  Tuple										=					cva.imread(R'''../image_data/lena.jpg''', 0)
			# canny edge detection
			__SCREAMING_SNAKE_CASE     :  Any										=					canny(lena)
			cva.imshow('''canny''', canny_destination)
			cva.waitKey(0)





"""simple docstring"""
from .stack import Stack



def 				lowerCAmelCase_(      lowercase_   :							str							)		->				bool:
				_lowerCamelCase					     = Stack()
				_lowerCamelCase					     = {'''(''': ''')''', '''[''': ''']''', '''{''': '''}'''}
				for bracket in parentheses:
								if bracket in bracket_pairs:
												stack.push(lowercase_							)
								elif bracket in (")", "]", "}"):
												if stack.is_empty() or bracket_pairs[stack.pop()] != bracket:
																return False
				return stack.is_empty()


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

			testmod()

			__SCREAMING_SNAKE_CASE     :  Optional[Any]										=					['''((()))''', '''((())''', '''(()))''']
			print('''Balanced parentheses demonstration:\n''')
			for example in examples:
						__SCREAMING_SNAKE_CASE     :  Any										=					'''''' if balanced_parentheses(example) else '''not '''
						print(F"""{example} is {not_str}balanced""")
