
"""simple docstring"""




import importlib.metadata
import sys

from transformers.testing_utils import TestCasePlus
from transformers.utils.versions import require_version, require_version_core


snake_case					  =						importlib.metadata.version('numpy')
snake_case					  =						'.'.join([str(x) for x in sys.version_info[:3]])




class 	UpperCamelCase      (			__magic_name__ ):

				"""simple docstring"""



				def 				A   (							self     )       ->       List[Any]:
									"""simple docstring"""







									require_version_core('numpy<1000.4.5'     )
									require_version_core('numpy<1000.4'     )
									require_version_core('numpy<1000'     )

									# le
									require_version_core('numpy<=1000.4.5'     )
									require_version_core(f'''numpy<={numpy_ver}'''     )

									# eq
									require_version_core(f'''numpy=={numpy_ver}'''     )

									# ne
									require_version_core('numpy!=1000.4.5'     )

									# ge
									require_version_core('numpy>=1.0'     )
									require_version_core('numpy>=1.0.0'     )
									require_version_core(f'''numpy>={numpy_ver}'''     )

									# gt
									require_version_core('numpy>1.0.0'     )

									# mix
									require_version_core('numpy>1.0.0,<1000'     )

									# requirement w/o version
									require_version_core('numpy'     )

									# unmet requirements due to version conflict
									for req in ["numpy==1.0.0", "numpy>=1000.0.0", f'''numpy<{numpy_ver}''']:
														try:
																			require_version_core(lowercase__     )
														except ImportError as e:
																			self.assertIn(f'''{req} is required'''						,      str(lowercase__     )     )
																			self.assertIn('but found'						,      str(lowercase__     )     )

        # unmet requirements due to missing module
									for req in ["numpipypie>1", "numpipypie2"]:
														try:
																			require_version_core(lowercase__     )
														except importlib.metadata.PackageNotFoundError as e:
																			self.assertIn(f'''The \'{req}\' distribution was not found and is required by this application'''						,      str(lowercase__     )     )
																			self.assertIn('Try: pip install transformers -U'						,      str(lowercase__     )     )

        # bogus requirements formats:
        # 1. whole thing
									for req in ["numpy??1.0.0", "numpy1.0.0"]:
														try:
																			require_version_core(lowercase__     )
														except ValueError as e:
																			self.assertIn('requirement needs to be in the pip package format'						,      str(lowercase__     )     )
        # 2. only operators
									for req in ["numpy=1.0.0", "numpy == 1.00", "numpy<>1.0.0", "numpy><1.00", "numpy>>1.0.0"]:
														try:
																			require_version_core(lowercase__     )
														except ValueError as e:
																			self.assertIn('need one of '						,      str(lowercase__     )     )




				def 				A   (							self     )       ->       Tuple:
									"""simple docstring"""







									require_version('python>=3.6.0'     )

									# not matching requirements
									for req in ["python>9.9.9", "python<3.0.0"]:
														try:
																			require_version_core(lowercase__     )
														except ImportError as e:
																			self.assertIn(f'''{req} is required'''						,      str(lowercase__     )     )
																			self.assertIn(f'''but found python=={python_ver}'''						,      str(lowercase__     )     )


"""simple docstring"""




from __future__ import annotations

from math import pi, pow

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

def     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     ):
					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(SCREAMING_SNAKE_CASE_,	2     ) * (3 * radius - height)

def     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     ):
					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(SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     )     )

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

					return vol_spherical_cap(SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     ) + vol_spherical_cap(SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     )

def     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     ):

					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(SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     )     )

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

def     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     ):
					if width < 0 or height < 0 or length < 0:
										raise ValueError('vol_cuboid() only accepts non-negative values'     )
					return float(width * height * length     )

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

def     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     ):
					if height < 0 or area_of_base < 0:
										raise ValueError('vol_prism() only accepts non-negative values'     )
					return float(area_of_base * height     )

def     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     ):
					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     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_     ):
					if radius < 0:
										raise ValueError('vol_sphere() only accepts non-negative values'     )
					# Volume is 4/3 * pi * radius cubed
					return 4 / 3 * pi * pow(SCREAMING_SNAKE_CASE_,	3     )

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

def     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     ):
					if height < 0 or radius < 0:
										raise ValueError('vol_circular_cylinder() only accepts non-negative values'     )
					# Volume is radius squared * height * pi
					return pow(SCREAMING_SNAKE_CASE_,	2     ) * height * pi

def     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     ):
					# 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(SCREAMING_SNAKE_CASE_,	2     ) - pow(SCREAMING_SNAKE_CASE_,	2     )) * height

def     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     ):
					# 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(SCREAMING_SNAKE_CASE_,	2     ) + pow(SCREAMING_SNAKE_CASE_,	2     ) + radius_a * radius_a)
					)

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

def     UpperCamelCase_    (						):
					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()
