






'''simple docstring'''







from __future__ import annotations

from math import pi, pow





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





def 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			(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__   :      str			    =			(
							    (radius_a - radius_a + centers_distance)
							    * (radius_a + radius_a - centers_distance)
							    / (2 * centers_distance)
							)
							lowerCamelCase__   :      str			    =			(
							    (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 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			(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 					SCREAMING_SNAKE_CASE_			() ->			str:
							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'''







import unittest
from pathlib import Path

from transformers import is_vision_available, load_tool
from transformers.testing_utils import get_tests_dir

from .test_tools_common import ToolTesterMixin


if is_vision_available():
			from PIL import Image

class _lowercase      (							unittest.TestCase							, _lowercase						):




							def 						lowerCamelCase_							(				self:							Tuple	):
														lowerCamelCase__   :      Optional[Any]			    =			load_tool("""image-captioning"""	)
														self.tool.setup()
														lowerCamelCase__   :      Optional[Any]			    =			load_tool("""image-captioning"""     ,				remote=UpperCamelCase__	)




							def 						lowerCamelCase_							(				self:							int	):
														lowerCamelCase__   :      List[Any]			    =			Image.open(Path(get_tests_dir("""fixtures/tests_samples/COCO"""	)	) / """000000039769.png"""	)
														lowerCamelCase__   :      Optional[Any]			    =			self.tool(UpperCamelCase__	)
														self.assertEqual(UpperCamelCase__     ,				"""two cats sleeping on a couch"""	)




							def 						lowerCamelCase_							(				self:							Union[str, Any]	):
														lowerCamelCase__   :      Tuple			    =			Image.open(Path(get_tests_dir("""fixtures/tests_samples/COCO"""	)	) / """000000039769.png"""	)
														lowerCamelCase__   :      Dict			    =			self.remote_tool(UpperCamelCase__	)
														self.assertEqual(UpperCamelCase__     ,				"""two cats sleeping on a couch"""	)




							def 						lowerCamelCase_							(				self:							str	):
														lowerCamelCase__   :      Optional[int]			    =			Image.open(Path(get_tests_dir("""fixtures/tests_samples/COCO"""	)	) / """000000039769.png"""	)
														lowerCamelCase__   :      str			    =			self.tool(image=UpperCamelCase__	)
														self.assertEqual(UpperCamelCase__     ,				"""two cats sleeping on a couch"""	)




							def 						lowerCamelCase_							(				self:							Union[str, Any]	):
														lowerCamelCase__   :      Optional[int]			    =			Image.open(Path(get_tests_dir("""fixtures/tests_samples/COCO"""	)	) / """000000039769.png"""	)
														lowerCamelCase__   :      Optional[int]			    =			self.remote_tool(image=UpperCamelCase__	)
														self.assertEqual(UpperCamelCase__     ,				"""two cats sleeping on a couch"""	)

