

'''simple docstring'''

from __future__ import annotations

from math import pi, pow

def     __magic_name__       ( A							)			->		float:



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

def     __magic_name__       ( A					,   A							)			->		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(A					,   2							) * (3 * radius - height)

def     __magic_name__       ( A					,   A					,   A							)			->		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(A					,   A							)							)

	snake_case							 =				(
	    (radius_a - radius_a + centers_distance)
	    * (radius_a + radius_a - centers_distance)
	    / (2 * centers_distance)
	)
	snake_case							 =				(
	    (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     __magic_name__       ( A					,   A					,   A							)			->		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(A					,   A							)							)

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

def     __magic_name__       ( A					,   A					,   A							)			->		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     __magic_name__       ( A					,   A							)			->		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     __magic_name__       ( A					,   A							)			->		float:



	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     __magic_name__       ( A					,   A							)			->		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     __magic_name__       ( A					,   A							)			->		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     __magic_name__       ( A							)			->		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(A					,   3							)

def     __magic_name__       ( A							)			->		float:



	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     __magic_name__       ( A					,   A							)			->		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(A					,   2							) * height * pi

def     __magic_name__       ( A					,   A					,   A							)			->		float:



	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     __magic_name__       ( A					,   A					,   A							)			->		float:



	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     __magic_name__       ( A					,   A							)			->		float:



	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     __magic_name__       ( )			->		Optional[Any]:
	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_tf_available,
    is_tokenizers_available,
    is_torch_available,
)


lowerCAmelCase_						   =			{
    "configuration_led": ["LED_PRETRAINED_CONFIG_ARCHIVE_MAP", "LEDConfig"],
    "tokenization_led": ["LEDTokenizer"],
}

try:
						if not is_tokenizers_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						lowerCAmelCase_						   =			["LEDTokenizerFast"]

try:
						if not is_torch_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						lowerCAmelCase_						   =			[
						    "LED_PRETRAINED_MODEL_ARCHIVE_LIST",
						    "LEDForConditionalGeneration",
						    "LEDForQuestionAnswering",
						    "LEDForSequenceClassification",
						    "LEDModel",
						    "LEDPreTrainedModel",
						]


try:
						if not is_tf_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						lowerCAmelCase_						   =			["TFLEDForConditionalGeneration", "TFLEDModel", "TFLEDPreTrainedModel"]


if TYPE_CHECKING:
						from .configuration_led import LED_PRETRAINED_CONFIG_ARCHIVE_MAP, LEDConfig
						from .tokenization_led import LEDTokenizer

						try:
												if not is_tokenizers_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .tokenization_led_fast import LEDTokenizerFast

						try:
												if not is_torch_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .modeling_led import (
												    LED_PRETRAINED_MODEL_ARCHIVE_LIST,
												    LEDForConditionalGeneration,
												    LEDForQuestionAnswering,
												    LEDForSequenceClassification,
												    LEDModel,
												    LEDPreTrainedModel,
												)

						try:
												if not is_tf_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .modeling_tf_led import TFLEDForConditionalGeneration, TFLEDModel, TFLEDPreTrainedModel

else:
						import sys

						lowerCAmelCase_						   =			_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)





