


from __future__ import annotations

from math import pi, pow




def 			__lowercase	(						_UpperCamelCase     )    ->float:







      """simple docstring"""

      if side_length < 0:
            raise ValueError('''vol_cube() only accepts non-negative values'''     )
      return pow(_UpperCamelCase,    3     )




def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase     )    ->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(_UpperCamelCase,    2     ) * (3 * radius - height)




def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase,    _UpperCamelCase     )    ->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(_UpperCamelCase,    _UpperCamelCase     )     )

      lowercase			:   List[str]					   =		(
          (radius_a - radius_a + centers_distance)
          * (radius_a + radius_a - centers_distance)
          / (2 * centers_distance)
      )
      lowercase			:   Any					   =		(
          (radius_a - radius_a + centers_distance)
          * (radius_a + radius_a - centers_distance)
          / (2 * centers_distance)
      )

      return vol_spherical_cap(_UpperCamelCase,    _UpperCamelCase     ) + vol_spherical_cap(_UpperCamelCase,    _UpperCamelCase     )




def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase,    _UpperCamelCase     )    ->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(_UpperCamelCase,    _UpperCamelCase     )     )

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




def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase,    _UpperCamelCase     )    ->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 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase     )    ->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 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase     )    ->float:







      """simple docstring"""

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




def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase     )    ->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 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase     )    ->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 			__lowercase	(						_UpperCamelCase     )    ->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(_UpperCamelCase,    3     )




def 			__lowercase	(						_UpperCamelCase     )    ->float:







      """simple docstring"""

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




def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase     )    ->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(_UpperCamelCase,    2     ) * height * pi




def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase,    _UpperCamelCase     )    ->float:







      """simple docstring"""

      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(_UpperCamelCase,    2     ) - pow(_UpperCamelCase,    2     )) * height




def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase,    _UpperCamelCase     )    ->float:







      """simple docstring"""

      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(_UpperCamelCase,    2     ) + pow(_UpperCamelCase,    2     ) + radius_a * radius_a)
      )




def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase     )    ->float:







      """simple docstring"""

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




def 			__lowercase	(						)    ->Optional[Any]:







      """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()





from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__a   				=      {
    '''configuration_decision_transformer''': [
        '''DECISION_TRANSFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP''',
        '''DecisionTransformerConfig''',
    ],
}

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  __a   				=      [
      '''DECISION_TRANSFORMER_PRETRAINED_MODEL_ARCHIVE_LIST''',
      '''DecisionTransformerGPT2Model''',
      '''DecisionTransformerGPT2PreTrainedModel''',
      '''DecisionTransformerModel''',
      '''DecisionTransformerPreTrainedModel''',
  ]


if TYPE_CHECKING:
  from .configuration_decision_transformer import (
      DECISION_TRANSFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP,
      DecisionTransformerConfig,
  )

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_decision_transformer import (
        DECISION_TRANSFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
        DecisionTransformerGPTaModel,
        DecisionTransformerGPTaPreTrainedModel,
        DecisionTransformerModel,
        DecisionTransformerPreTrainedModel,
    )


else:
  import sys

  __a   				=      _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)

