
import importlib.metadata
import sys

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


__lowerCAmelCase   :     Optional[Any]      =						importlib.metadata.version("numpy")
__lowerCAmelCase   :     Any      =						".".join([str(x) for x in sys.version_info[:3]])


class   __lowerCAmelCase		(		lowerCAmelCase_ ):



      """simple docstring"""







      def 						snake_case_     ( self						:    List[Any]			):
          # lt + different version strings
          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(_snake_case			)
              except ImportError as e:
                  self.assertIn(F'{req} is required'			,    str(_snake_case			)			)
                  self.assertIn('''but found'''			,    str(_snake_case			)			)

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

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




      def 						snake_case_     ( self						:    List[str]			):
          # matching requirement
          require_version('''python>=3.6.0'''			)

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




from __future__ import annotations

from math import pi, pow


def       UpperCAmelCase_					(  __lowerCAmelCase		)	->  float:
    if side_length < 0:
        raise ValueError('''vol_cube() only accepts non-negative values'''		)
    return pow(__lowerCAmelCase		,   3		)


def       UpperCAmelCase_					(  __lowerCAmelCase		,   __lowerCAmelCase		)	->  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(__lowerCAmelCase		,   2		) * (3 * radius - height)


def       UpperCAmelCase_					(  __lowerCAmelCase		,   __lowerCAmelCase		,   __lowerCAmelCase		)	->  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(__lowerCAmelCase		,   __lowerCAmelCase		)		)

    __lowercase						:     Dict		      =    (
        (radius_a - radius_a + centers_distance)
        * (radius_a + radius_a - centers_distance)
        / (2 * centers_distance)
    )
    __lowercase						:     Optional[int]		      =    (
        (radius_a - radius_a + centers_distance)
        * (radius_a + radius_a - centers_distance)
        / (2 * centers_distance)
    )

    return vol_spherical_cap(__lowerCAmelCase		,   __lowerCAmelCase		) + vol_spherical_cap(__lowerCAmelCase		,   __lowerCAmelCase		)


def       UpperCAmelCase_					(  __lowerCAmelCase		,   __lowerCAmelCase		,   __lowerCAmelCase		)	->  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(__lowerCAmelCase		,   __lowerCAmelCase		)		)

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


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


def       UpperCAmelCase_					(  __lowerCAmelCase		,   __lowerCAmelCase		)	->  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       UpperCAmelCase_					(  __lowerCAmelCase		,   __lowerCAmelCase		)	->  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       UpperCAmelCase_					(  __lowerCAmelCase		)	->  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(__lowerCAmelCase		,   3		)


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


def       UpperCAmelCase_					(  __lowerCAmelCase		,   __lowerCAmelCase		)	->  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(__lowerCAmelCase		,   2		) * height * pi


def       UpperCAmelCase_					(  __lowerCAmelCase		,   __lowerCAmelCase		,   __lowerCAmelCase		)	->  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(__lowerCAmelCase		,   2		) - pow(__lowerCAmelCase		,   2		)) * height


def       UpperCAmelCase_					(  __lowerCAmelCase		,   __lowerCAmelCase		,   __lowerCAmelCase		)	->  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(__lowerCAmelCase		,   2		) + pow(__lowerCAmelCase		,   2		) + radius_a * radius_a)
    )


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


def       UpperCAmelCase_					(  )	->  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()


