
"""simple docstring"""


from __future__ import annotations

from math import pi, pow



def 					_lowerCamelCase(__UpperCamelCase )       ->				float:
	if side_length < 0:
		raise ValueError("""vol_cube() only accepts non-negative values""" )
	return pow(__UpperCamelCase					,				3 )



def 					_lowerCamelCase(__UpperCamelCase					,				__UpperCamelCase )       ->				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(__UpperCamelCase					,				2 ) * (3 * radius - height)



def 					_lowerCamelCase(__UpperCamelCase					,				__UpperCamelCase					,				__UpperCamelCase )       ->				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(__UpperCamelCase					,				__UpperCamelCase ) )

	_lowerCAmelCase			=(
	    (radius_a - radius_a + centers_distance)
	    * (radius_a + radius_a - centers_distance)
	    / (2 * centers_distance)
	)
	_lowerCAmelCase			=(
	    (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 					_lowerCamelCase(__UpperCamelCase					,				__UpperCamelCase					,				__UpperCamelCase )       ->				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(__UpperCamelCase					,				__UpperCamelCase ) )

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



def 					_lowerCamelCase(__UpperCamelCase					,				__UpperCamelCase					,				__UpperCamelCase )       ->				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 					_lowerCamelCase(__UpperCamelCase					,				__UpperCamelCase )       ->				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 					_lowerCamelCase(__UpperCamelCase					,				__UpperCamelCase )       ->				float:
	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 					_lowerCamelCase(__UpperCamelCase					,				__UpperCamelCase )       ->				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 					_lowerCamelCase(__UpperCamelCase					,				__UpperCamelCase )       ->				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 					_lowerCamelCase(__UpperCamelCase )       ->				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(__UpperCamelCase					,				3 )



def 					_lowerCamelCase(__UpperCamelCase )       ->				float:
	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 					_lowerCamelCase(__UpperCamelCase					,				__UpperCamelCase )       ->				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(__UpperCamelCase					,				2 ) * height * pi



def 					_lowerCamelCase(__UpperCamelCase					,				__UpperCamelCase					,				__UpperCamelCase )       ->				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(__UpperCamelCase					,				2 ) - pow(__UpperCamelCase					,				2 )) * height



def 					_lowerCamelCase(__UpperCamelCase					,				__UpperCamelCase					,				__UpperCamelCase )       ->				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(__UpperCamelCase					,				2 ) + pow(__UpperCamelCase					,				2 ) + radius_a * radius_a)
	)



def 					_lowerCamelCase(__UpperCamelCase					,				__UpperCamelCase )       ->				float:
	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 					_lowerCamelCase()       ->				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,
)


__A 		= {
    'configuration_led': ['LED_PRETRAINED_CONFIG_ARCHIVE_MAP', 'LEDConfig'],
    'tokenization_led': ['LEDTokenizer'],
}

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

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


try:
			if not is_tf_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			__A 		= ['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

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



