



from __future__ import annotations

from math import pi, pow

def      A_ (		__a       :			int | float						):

				"""simple docstring"""
				if side_length < 0:
								raise ValueError("""vol_cube() only accepts non-negative values"""						)
				return pow(__a	,						3						)

def      A_ (		__a       :			float	,						__a       :			float						):

				"""simple docstring"""
				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(__a	,						2						) * (3 * radius - height)

def      A_ (		__a       :			float	,						__a       :			float	,						__a       :			float						):

				"""simple docstring"""
				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(__a	,						__a						)						)

				a__			 =						(
				    (radius_a - radius_a + centers_distance)
				    * (radius_a + radius_a - centers_distance)
				    / (2 * centers_distance)
				)
				a__			 =						(
				    (radius_a - radius_a + centers_distance)
				    * (radius_a + radius_a - centers_distance)
				    / (2 * centers_distance)
				)

				return vol_spherical_cap(__a	,						__a						) + vol_spherical_cap(__a	,						__a						)

def      A_ (		__a       :			float	,						__a       :			float	,						__a       :			float						):

				"""simple docstring"""

				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(__a	,						__a						)						)

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

def      A_ (		__a       :			float	,						__a       :			float	,						__a       :			float						):

				"""simple docstring"""
				if width < 0 or height < 0 or length < 0:
								raise ValueError("""vol_cuboid() only accepts non-negative values"""						)
				return float(width * height * length						)

def      A_ (		__a       :			float	,						__a       :			float						):

				"""simple docstring"""
				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      A_ (		__a       :			float	,						__a       :			float						):

				"""simple docstring"""
				if height < 0 or radius < 0:
								raise ValueError("""vol_right_circ_cone() only accepts non-negative values"""						)
				return pi * pow(__a	,						2						) * height / 3.0

def      A_ (		__a       :			float	,						__a       :			float						):

				"""simple docstring"""
				if height < 0 or area_of_base < 0:
								raise ValueError("""vol_prism() only accepts non-negative values"""						)
				return float(area_of_base * height						)

def      A_ (		__a       :			float	,						__a       :			float						):

				"""simple docstring"""
				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      A_ (		__a       :			float						):

				"""simple docstring"""
				if radius < 0:
								raise ValueError("""vol_sphere() only accepts non-negative values"""						)
				# Volume is 4/3 * pi * radius cubed
				return 4 / 3 * pi * pow(__a	,						3						)

def      A_ (		__a       :			float						):

				"""simple docstring"""
				if radius < 0:
								raise ValueError("""vol_hemisphere() only accepts non-negative values"""						)
				# Volume is radius cubed * pi * 2/3
				return pow(__a	,						3						) * pi * 2 / 3

def      A_ (		__a       :			float	,						__a       :			float						):

				"""simple docstring"""
				if height < 0 or radius < 0:
								raise ValueError("""vol_circular_cylinder() only accepts non-negative values"""						)
				# Volume is radius squared * height * pi
				return pow(__a	,						2						) * height * pi

def      A_ (		__a       :			float	,						__a       :			float	,						__a       :			float						):

				"""simple docstring"""
				# 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(__a	,						2						) - pow(__a	,						2						)) * height

def      A_ (		__a       :			float	,						__a       :			float	,						__a       :			float						):

				"""simple docstring"""
				# 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(__a	,						2						) + pow(__a	,						2						) + radius_a * radius_a)
				)

def      A_ (		__a       :			float	,						__a       :			float						):

				"""simple docstring"""
				if torus_radius < 0 or tube_radius < 0:
								raise ValueError("""vol_torus() only accepts non-negative values"""						)
				return 2 * pow(__a	,						2						) * torus_radius * pow(__a	,						2						)

def      A_ (		):

				"""simple docstring"""
				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()






def      A_ (		__a       :			int = 1_000						):

				"""simple docstring"""
				return sum(i for i in range(__a						) if i % 3 == 0 or i % 5 == 0						)


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

