'''simple docstring'''




from __future__ import annotations

from math import pi, pow



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



def 						__snake_case (       lowerCAmelCase       :     float      ,  lowerCAmelCase       :     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(lowerCAmelCase      ,  2			) * (3 * radius - height)



def 						__snake_case (       lowerCAmelCase       :     float      ,  lowerCAmelCase       :     float      ,  lowerCAmelCase       :     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(lowerCAmelCase      ,  lowerCAmelCase			)			)

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

 return vol_spherical_cap(lowerCAmelCase      ,  lowerCAmelCase			) + vol_spherical_cap(lowerCAmelCase      ,  lowerCAmelCase			)



def 						__snake_case (       lowerCAmelCase       :     float      ,  lowerCAmelCase       :     float      ,  lowerCAmelCase       :     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(lowerCAmelCase      ,  lowerCAmelCase			)			)

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



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



def 						__snake_case (       lowerCAmelCase       :     float      ,  lowerCAmelCase       :     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 						__snake_case (       lowerCAmelCase       :     float      ,  lowerCAmelCase       :     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 						__snake_case (       lowerCAmelCase       :     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(lowerCAmelCase      ,  3			)



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



def 						__snake_case (       lowerCAmelCase       :     float      ,  lowerCAmelCase       :     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(lowerCAmelCase      ,  2			) * height * pi



def 						__snake_case (       lowerCAmelCase       :     float      ,  lowerCAmelCase       :     float      ,  lowerCAmelCase       :     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(lowerCAmelCase      ,  2			) - pow(lowerCAmelCase      ,  2			)) * height



def 						__snake_case (       lowerCAmelCase       :     float      ,  lowerCAmelCase       :     float      ,  lowerCAmelCase       :     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(lowerCAmelCase      ,  2			) + pow(lowerCAmelCase      ,  2			) + radius_a * radius_a)
 )



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



def 						__snake_case (       ):
 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 typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_torch_available,
)


_UpperCamelCase				:		int       			=		{
    'configuration_align': [
        'ALIGN_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'AlignConfig',
        'AlignTextConfig',
        'AlignVisionConfig',
    ],
    'processing_align': ['AlignProcessor'],
}

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     _UpperCamelCase				:		Optional[Any]       			=		[
         'ALIGN_PRETRAINED_MODEL_ARCHIVE_LIST',
         'AlignModel',
         'AlignPreTrainedModel',
         'AlignTextModel',
         'AlignVisionModel',
     ]

if TYPE_CHECKING:
     from .configuration_align import (
         ALIGN_PRETRAINED_CONFIG_ARCHIVE_MAP,
         AlignConfig,
         AlignTextConfig,
         AlignVisionConfig,
     )
     from .processing_align import AlignProcessor

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_align import (
              ALIGN_PRETRAINED_MODEL_ARCHIVE_LIST,
              AlignModel,
              AlignPreTrainedModel,
              AlignTextModel,
              AlignVisionModel,
          )

else:
     import sys

     _UpperCamelCase				:		str       			=		_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)



