
from __future__ import annotations

from math import pi, pow



def       _lowercase					(      __SCREAMING_SNAKE_CASE )	->     float:
			if side_length < 0:
						raise ValueError('vol_cube() only accepts non-negative values' )
			return pow(__SCREAMING_SNAKE_CASE				,    3 )



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     float:
			if height < 0 or radius < 0:
						raise ValueError('vol_spherical_cap() only accepts non-negative values' )
			# Volume is 1/3 pi * height squared * (3 * radius - height)
			return 1 / 3 * pi * pow(__SCREAMING_SNAKE_CASE				,    2 ) * (3 * radius - height)



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     float:
			if radius_a < 0 or radius_a < 0 or centers_distance < 0:
						raise ValueError('vol_spheres_intersect() only accepts non-negative values' )
			if centers_distance == 0:
						return vol_sphere(min(__SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE ) )

			UpperCamelCase__    :		Optional[int]     =				(
			    (radius_a - radius_a + centers_distance)
			    * (radius_a + radius_a - centers_distance)
			    / (2 * centers_distance)
			)
			UpperCamelCase__    :		Dict     =				(
			    (radius_a - radius_a + centers_distance)
			    * (radius_a + radius_a - centers_distance)
			    / (2 * centers_distance)
			)

			return vol_spherical_cap(__SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE ) + vol_spherical_cap(__SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     float:

			if radius_a <= 0 or radius_a <= 0 or centers_distance < 0:
						raise ValueError(
						    'vol_spheres_union() only accepts non-negative values, non-zero radius' )

			if centers_distance == 0:
						return vol_sphere(max(__SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE ) )

			return (
			    vol_sphere(__SCREAMING_SNAKE_CASE )
			    + vol_sphere(__SCREAMING_SNAKE_CASE )
			    - vol_spheres_intersect(__SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )
			)



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     float:
			if width < 0 or height < 0 or length < 0:
						raise ValueError('vol_cuboid() only accepts non-negative values' )
			return float(width * height * length )



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     float:
			if height < 0 or area_of_base < 0:
						raise ValueError('vol_cone() only accepts non-negative values' )
			return area_of_base * height / 3.0



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     float:
			if height < 0 or radius < 0:
						raise ValueError('vol_right_circ_cone() only accepts non-negative values' )
			return pi * pow(__SCREAMING_SNAKE_CASE				,    2 ) * height / 3.0



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     float:
			if height < 0 or area_of_base < 0:
						raise ValueError('vol_prism() only accepts non-negative values' )
			return float(area_of_base * height )



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     float:
			if height < 0 or area_of_base < 0:
						raise ValueError('vol_pyramid() only accepts non-negative values' )
			return area_of_base * height / 3.0



def       _lowercase					(      __SCREAMING_SNAKE_CASE )	->     float:
			if radius < 0:
						raise ValueError('vol_sphere() only accepts non-negative values' )
			# Volume is 4/3 * pi * radius cubed
			return 4 / 3 * pi * pow(__SCREAMING_SNAKE_CASE				,    3 )



def       _lowercase					(      __SCREAMING_SNAKE_CASE )	->     float:
			if radius < 0:
						raise ValueError('vol_hemisphere() only accepts non-negative values' )
			# Volume is radius cubed * pi * 2/3
			return pow(__SCREAMING_SNAKE_CASE				,    3 ) * pi * 2 / 3



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     float:
			if height < 0 or radius < 0:
						raise ValueError('vol_circular_cylinder() only accepts non-negative values' )
			# Volume is radius squared * height * pi
			return pow(__SCREAMING_SNAKE_CASE				,    2 ) * height * pi



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     float:
			# Volume - (outer_radius squared - inner_radius squared) * pi * height
			if inner_radius < 0 or outer_radius < 0 or height < 0:
						raise ValueError(
						    'vol_hollow_circular_cylinder() only accepts non-negative values' )
			if outer_radius <= inner_radius:
						raise ValueError('outer_radius must be greater than inner_radius' )
			return pi * (pow(__SCREAMING_SNAKE_CASE				,    2 ) - pow(__SCREAMING_SNAKE_CASE				,    2 )) * height



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     float:
			# Volume is 1/3 * pi * height *
			#           (radius_1 squared + radius_2 squared + radius_1 * radius_2)
			if radius_a < 0 or radius_a < 0 or height < 0:
						raise ValueError('vol_conical_frustum() only accepts non-negative values' )
			return (
			    1
			    / 3
			    * pi
			    * height
			    * (pow(__SCREAMING_SNAKE_CASE				,    2 ) + pow(__SCREAMING_SNAKE_CASE				,    2 ) + radius_a * radius_a)
			)



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     float:
			if torus_radius < 0 or tube_radius < 0:
						raise ValueError('vol_torus() only accepts non-negative values' )
			return 2 * pow(__SCREAMING_SNAKE_CASE				,    2 ) * torus_radius * pow(__SCREAMING_SNAKE_CASE				,    2 )



def       _lowercase					(      )	->     Optional[Any]:
			print('Volumes:' )
			print(F"""Cube: {vol_cube(2 ) = }""" )  # = 8
			print(F"""Cuboid: {vol_cuboid(2				,    2				,    2 ) = }""" )  # = 8
			print(F"""Cone: {vol_cone(2				,    2 ) = }""" )  # ~= 1.33
			print(F"""Right Circular Cone: {vol_right_circ_cone(2				,    2 ) = }""" )  # ~= 8.38
			print(F"""Prism: {vol_prism(2				,    2 ) = }""" )  # = 4
			print(F"""Pyramid: {vol_pyramid(2				,    2 ) = }""" )  # ~= 1.33
			print(F"""Sphere: {vol_sphere(2 ) = }""" )  # ~= 33.5
			print(F"""Hemisphere: {vol_hemisphere(2 ) = }""" )  # ~= 16.75
			print(F"""Circular Cylinder: {vol_circular_cylinder(2				,    2 ) = }""" )  # ~= 25.1
			print(F"""Torus: {vol_torus(2				,    2 ) = }""" )  # ~= 157.9
			print(F"""Conical Frustum: {vol_conical_frustum(2				,    2				,    4 ) = }""" )  # ~= 58.6
			print(F"""Spherical cap: {vol_spherical_cap(1				,    2 ) = }""" )  # ~= 5.24
			print(F"""Spheres intersetion: {vol_spheres_intersect(2				,    2				,    1 ) = }""" )  # ~= 21.21
			print(F"""Spheres union: {vol_spheres_union(2				,    2				,    1 ) = }""" )  # ~= 45.81
			print(
			    F"""Hollow Circular Cylinder: {vol_hollow_circular_cylinder(1				,    2				,    3 ) = }""" )  # ~= 28.3


if __name__ == "__main__":
							main()





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__				:  str       					=				180



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     Tuple:
			UpperCamelCase__    :		Dict     =				k_size // 2
			UpperCamelCase__   ,			UpperCamelCase__    :		Any     =				np.mgrid[0 - center : k_size - center, 0 - center : k_size - center]
			UpperCamelCase__    :		int     =				(
			    1
			    / (2 * np.pi * sigma)
			    * np.exp(-(np.square(__SCREAMING_SNAKE_CASE ) + np.square(__SCREAMING_SNAKE_CASE )) / (2 * np.square(__SCREAMING_SNAKE_CASE )) )
			)
			return g



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     Any:
			UpperCamelCase__    :		Dict     =				np.zeros(__SCREAMING_SNAKE_CASE )

			for row in range(1				,    image_shape[0] - 1 ):
						for col in range(1				,    image_shape[1] - 1 ):
									UpperCamelCase__    :		Dict     =				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__    :		List[str]     =				sobel_grad[row, col - 1]
												UpperCamelCase__    :		Dict     =				sobel_grad[row, col + 1]
												if sobel_grad[row, col] >= w and sobel_grad[row, col] >= e:
															UpperCamelCase__    :		Tuple     =				sobel_grad[row, col]

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

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

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

			return destination



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     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:
												UpperCamelCase__    :		str     =				strong
									elif destination[row, col] <= threshold_low:
												UpperCamelCase__    :		List[str]     =				0
									else:
												UpperCamelCase__    :		int     =				weak



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )	->     Any:
			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],
												):
															UpperCamelCase__    :		List[str]     =				strong
												else:
															UpperCamelCase__    :		Union[str, Any]     =				0



def       _lowercase					(      __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE=15				,    __SCREAMING_SNAKE_CASE=30				,    __SCREAMING_SNAKE_CASE=128				,    __SCREAMING_SNAKE_CASE=255 )	->     Any:
			# gaussian_filter
			UpperCamelCase__    :		Optional[int]     =				img_convolve(__SCREAMING_SNAKE_CASE				,    gen_gaussian_kernel(9				,    sigma=1.4 ) )
			# get the gradient and degree by sobel_filter
			UpperCamelCase__   ,			UpperCamelCase__    :		Union[str, Any]     =				sobel_filter(__SCREAMING_SNAKE_CASE )
			UpperCamelCase__    :		Tuple     =				PI + np.radadeg(__SCREAMING_SNAKE_CASE )

			UpperCamelCase__    :		Any     =				suppress_non_maximum(image.shape				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )

			detect_high_low_threshold(
			    image.shape				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )

			track_edge(image.shape				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE				,    __SCREAMING_SNAKE_CASE )

			return destination


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



