



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

UpperCAmelCase :				Tuple							=180



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase):
					UpperCamelCase_			= k_size // 2
					UpperCamelCase_	,     UpperCamelCase_			= np.mgrid[0 - center : k_size - center, 0 - center : k_size - center]
					UpperCamelCase_			= (
					    1
					    / (2 * np.pi * sigma)
					    * np.exp(-(np.square(_lowerCAmelCase) + np.square(_lowerCAmelCase)) / (2 * np.square(_lowerCAmelCase)))
					)
					return g



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase ,						_lowerCAmelCase):
					UpperCamelCase_			= np.zeros(_lowerCAmelCase)

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

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

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

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

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

					return destination



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase ,						_lowerCAmelCase ,						_lowerCAmelCase ,						_lowerCAmelCase ,						_lowerCAmelCase):
					for row in range(1 ,						image_shape[0] - 1):
										for col in range(1 ,						image_shape[1] - 1):
															if destination[row, col] >= threshold_high:
																				UpperCamelCase_			= strong
															elif destination[row, col] <= threshold_low:
																				UpperCamelCase_			= 0
															else:
																				UpperCamelCase_			= weak



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase ,						_lowerCAmelCase ,						_lowerCAmelCase):
					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],
																				):
																									UpperCamelCase_			= strong
																				else:
																									UpperCamelCase_			= 0



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase=15 ,						_lowerCAmelCase=30 ,						_lowerCAmelCase=1_28 ,						_lowerCAmelCase=2_55):
					# gaussian_filter
					UpperCamelCase_			= img_convolve(_lowerCAmelCase ,						gen_gaussian_kernel(9 ,						sigma=1.4))
					# get the gradient and degree by sobel_filter
					UpperCamelCase_	,     UpperCamelCase_			= sobel_filter(_lowerCAmelCase)
					UpperCamelCase_			= PI + np.radadeg(_lowerCAmelCase)

					UpperCamelCase_			= suppress_non_maximum(image.shape ,						_lowerCAmelCase ,						_lowerCAmelCase)

					detect_high_low_threshold(
					    image.shape ,						_lowerCAmelCase ,						_lowerCAmelCase ,						_lowerCAmelCase ,						_lowerCAmelCase ,						_lowerCAmelCase)

					track_edge(image.shape ,						_lowerCAmelCase ,						_lowerCAmelCase ,						_lowerCAmelCase)

					return destination


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


import math
def lowerCamelCase_       (			A			:      int						):




      """simple docstring"""

      if 1 < number < 4:
            # 2 and 3 are primes
            return True
      elif number < 2 or number % 2 == 0 or number % 3 == 0:
            # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
            return False

      # All primes number are in format of 6k +/- 1
      for i in range(5		,					int(math.sqrt(A						) + 1						)		,					6						):
            if number % i == 0 or number % (i + 2) == 0:
                  return False
      return True
def lowerCamelCase_       (			A			:      int = 2_00_00_00						):




      """simple docstring"""
      return sum(num for num in range(3		,					A		,					2						) if is_prime(A						)						) + 2 if n > 2 else 0


if __name__ == "__main__":
 print(f'''{solution() = }''')



