"""simple docstring"""


from __future__ import annotations

from math import pi, pow


def   __UpperCAmelCase     (	_snake_case		:       int | float       ):
   if side_length < 0:
      raise ValueError("vol_cube() only accepts non-negative values"       )
   return pow(_snake_case,				3       )


def   __UpperCAmelCase     (	_snake_case		:       float,				_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(_snake_case,				2       ) * (3 * radius - height)


def   __UpperCAmelCase     (	_snake_case		:       float,				_snake_case		:       float,				_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(_snake_case,				_snake_case       )       )

   _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(_snake_case,				_snake_case       ) + vol_spherical_cap(_snake_case,				_snake_case       )


def   __UpperCAmelCase     (	_snake_case		:       float,				_snake_case		:       float,				_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(_snake_case,				_snake_case       )       )

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


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


def   __UpperCAmelCase     (	_snake_case		:       float,				_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   __UpperCAmelCase     (	_snake_case		:       float,				_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   __UpperCAmelCase     (	_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(_snake_case,				3       )


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


def   __UpperCAmelCase     (	_snake_case		:       float,				_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(_snake_case,				2       ) * height * pi


def   __UpperCAmelCase     (	_snake_case		:       float,				_snake_case		:       float,				_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(_snake_case,				2       ) - pow(_snake_case,				2       )) * height


def   __UpperCAmelCase     (	_snake_case		:       float,				_snake_case		:       float,				_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(_snake_case,				2       ) + pow(_snake_case,				2       ) + radius_a * radius_a)
   )


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


def   __UpperCAmelCase     (	):
   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"""


from ..utils import DummyObject, requires_backends
class   UpperCAmelCase_	(				metaclass=lowercase__   ):
    snake_case_											=      ["""torch""", """transformers""", """k_diffusion"""]
    def __init__(	self			:       Optional[Any]   ,						*_lowercase			:       Optional[int]   ,						**_lowercase			:       List[str]		)						->    Dict:
       requires_backends(self   ,						["torch", "transformers", "k_diffusion"]		)
    @classmethod
    def 		_lowerCamelCase      (	cls			:       Union[str, Any]   ,						*_lowercase			:       Any   ,						**_lowercase			:       List[Any]		)						->    str:
       requires_backends(cls   ,						["torch", "transformers", "k_diffusion"]		)




    @classmethod
    def 		_lowerCamelCase      (	cls			:       Optional[Any]   ,						*_lowercase			:       List[Any]   ,						**_lowercase			:       Any		)						->    Any:
       requires_backends(cls   ,						["torch", "transformers", "k_diffusion"]		)