
'''simple docstring'''



from __future__ import annotations

from math import pi, pow





def 	_A						(							lowercase__		):
						if side_length < 0:
												raise ValueError("""vol_cube() only accepts non-negative values"""		)
						return pow(lowercase__						,						3		)





def 	_A						(							lowercase__						,						lowercase__		):
						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(lowercase__						,						2		) * (3 * radius - height)





def 	_A						(							lowercase__						,						lowercase__						,						lowercase__		):
						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(lowercase__						,						lowercase__		)		)

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

						return vol_spherical_cap(lowercase__						,						lowercase__		) + vol_spherical_cap(lowercase__						,						lowercase__		)





def 	_A						(							lowercase__						,						lowercase__						,						lowercase__		):

						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(lowercase__						,						lowercase__		)		)

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





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





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





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





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





def 	_A						(							lowercase__						,						lowercase__						,						lowercase__		):
						# 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(lowercase__						,						2		) - pow(lowercase__						,						2		)) * height





def 	_A						(							lowercase__						,						lowercase__						,						lowercase__		):
						# 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(lowercase__						,						2		) + pow(lowercase__						,						2		) + radius_a * radius_a)
						)





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





def 	_A						(							):
						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()








'''simple docstring'''



import warnings

from .generation import FlaxGenerationMixin





class      A							(    __UpperCAmelCase			):
			# warning at import time
			warnings.warn(
			    """Importing `FlaxGenerationMixin` from `src/transformers/generation_flax_utils.py` is deprecated and will """
			    """be removed in Transformers v5. Import as `from transformers import FlaxGenerationMixin` instead."""						,  __UpperCAmelCase						,  )






