


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

_lowerCAmelCase:	Union[str, Any]      							=					180






def      _lowercase(				__a							:	List[str]						,    __a							:	Optional[int]    ):
       a__     						=k_size // 2
       a__						,    a__     						=np.mgrid[0 - center : k_size - center, 0 - center : k_size - center]
       a__     						=(
           1
           / (2 * np.pi * sigma)
           * np.exp(-(np.square(UpperCamelCase__    ) + np.square(UpperCamelCase__    )) / (2 * np.square(UpperCamelCase__    ))    )
       )
       return g






def      _lowercase(				__a							:	List[str]						,    __a							:	int						,    __a							:	int    ):
       a__     						=np.zeros(UpperCamelCase__    )

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

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

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

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

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

       return destination






def      _lowercase(				__a							:	Optional[Any]						,    __a							:	Optional[Any]						,    __a							:	Optional[int]						,    __a							:	List[str]						,    __a							:	Dict						,    __a							:	Tuple    ):






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






def      _lowercase(				__a							:	List[Any]						,    __a							:	Tuple						,    __a							:	List[str]						,    __a							:	str    ):






       for row in range(1						,    image_shape[0]    ):
              for col in range(1						,    image_shape[1]    ):
                     if destination[row, col] == weak:
                            if 255 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],
                            ):
                                   a__     						=strong
                            else:
                                   a__     						=0






def      _lowercase(				__a							:	List[Any]						,    __a							:	List[str]=15						,    __a							:	Optional[Any]=30						,    __a							:	str=128						,    __a							:	Any=255    ):
       a__     						=img_convolve(UpperCamelCase__						,    gen_gaussian_kernel(9						,    sigma=1.4    )    )
       # get the gradient and degree by sobel_filter
       a__						,    a__     						=sobel_filter(UpperCamelCase__    )
       a__     						=PI + np.radadeg(UpperCamelCase__    )

       a__     						=suppress_non_maximum(image.shape						,    UpperCamelCase__						,    UpperCamelCase__    )

       detect_high_low_threshold(
           image.shape						,    UpperCamelCase__						,    UpperCamelCase__						,    UpperCamelCase__						,    UpperCamelCase__						,    UpperCamelCase__    )

       track_edge(image.shape						,    UpperCamelCase__						,    UpperCamelCase__						,    UpperCamelCase__    )

       return destination


if __name__ == "__main__":
 # read original image in gray mode
 _lowerCAmelCase:	List[str]      							=					cva.imread(R'../image_data/lena.jpg', 0)
 # canny edge detection
 _lowerCAmelCase:	Dict      							=					canny(lena)
 cva.imshow('canny', canny_destination)
 cva.waitKey(0)





from __future__ import annotations






def      _lowercase(				__a							:	float | int						,    __a							:	float | int						,    __a							:	float | int						,    ):
							if not all((nth_term, start_term_a, common_ratio_r)    ):
														return []
							a__     						=[]
							a__     						=1
							a__     						=common_ratio_r
							for _ in range(int(__a    )    ):
														if not series:
																					series.append(__a    )
														else:
																					power += 1
																					series.append(float(start_term_a * multiple    )    )
																					a__     						=pow(float(__a    )						,    __a    )
							return series


if __name__ == "__main__":
	import doctest

	doctest.testmod()

	_lowerCAmelCase:	Tuple      							=					float(input('Enter the last number (n term) of the Geometric Series'))
	_lowerCAmelCase:	Optional[int]      							=					float(input('Enter the starting term (a) of the Geometric Series'))
	_lowerCAmelCase:	List[Any]      							=					float(
	    input('Enter the common ratio between two terms (r) of the Geometric Series')
	)
	print('Formula of Geometric Series => a + ar + ar^2 ... +ar^n')
	print(geometric_series(nth_term, start_term_a, common_ratio_r))

