






import importlib.metadata
import operator
import re
import sys
from typing import Optional

from packaging import version


A__	:			Optional[int]			   = {
    '<': operator.lt,
    '<=': operator.le,
    '==': operator.eq,
    '!=': operator.ne,
    '>=': operator.ge,
    '>': operator.gt,
}






def   a			(						lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_				):






				'''simple docstring'''
				if got_ver is None or want_ver is None:
								raise ValueError(
								    F"""Unable to compare versions for {requirement}: need={want_ver} found={got_ver}. This is unusual. Consider"""
								    F""" reinstalling {pkg}."""				)
				if not ops[op](version.parse(lowerCamelCase_				)		,   version.parse(lowerCamelCase_				)				):
								raise ImportError(
								    F"""{requirement} is required for a normal functioning of this module, but found {pkg}=={got_ver}.{hint}"""				)






def   a			(						lowerCamelCase_		,   lowerCamelCase_ = None				):






				'''simple docstring'''
				lowercase__    =			F"""\n{hint}""" if hint is not None else ''''''

				# non-versioned check
				if re.match(r'''^[\w_\-\d]+$'''		,   lowerCamelCase_				):
								lowercase__ ,						lowercase__ ,						lowercase__    =			requirement, None, None
				else:
								lowercase__    =			re.findall(r'''^([^!=<>\s]+)([\s!=<>]{1,2}.+)'''		,   lowerCamelCase_				)
								if not match:
												raise ValueError(
												    '''requirement needs to be in the pip package format, .e.g., package_a==1.23, or package_b>=1.23, but'''
												    F""" got {requirement}"""				)
								lowercase__ ,						lowercase__    =			match[0]
								lowercase__    =			want_full.split(''','''				)  # there could be multiple requirements
								lowercase__    =			{}
								for w in want_range:
												lowercase__    =			re.findall(r'''^([\s!=<>]{1,2})(.+)'''		,   lowerCamelCase_				)
												if not match:
																raise ValueError(
																    '''requirement needs to be in the pip package format, .e.g., package_a==1.23, or package_b>=1.23,'''
																    F""" but got {requirement}"""				)
												lowercase__ ,						lowercase__    =			match[0]
												lowercase__    =			want_ver
												if op not in ops:
																raise ValueError(F"""{requirement}: need one of {list(ops.keys()				)}, but got {op}"""				)

    # special case
				if pkg == "python":
								lowercase__    =			'''.'''.join([str(lowerCamelCase_				) for x in sys.version_info[:3]]				)
								for op, want_ver in wanted.items():
												_compare_versions(lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_				)
								return

				# check if any version is installed
				try:
								lowercase__    =			importlib.metadata.version(lowerCamelCase_				)
				except importlib.metadata.PackageNotFoundError:
								raise importlib.metadata.PackageNotFoundError(
								    F"""The '{requirement}' distribution was not found and is required by this application. {hint}"""				)

				# check that the right version is installed if version number or a range was provided
				if want_ver is not None:
								for op, want_ver in wanted.items():
												_compare_versions(lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_				)






def   a			(						lowerCamelCase_				):






				'''simple docstring'''
				lowercase__    =			'''Try: pip install transformers -U or pip install -e \'.[dev]\' if you\'re working with git main'''
				return require_version(lowerCamelCase_		,   lowerCamelCase_				)












from math import asin, atan, cos, radians, sin, sqrt, tan

A__	:			Optional[int]			   = 637_8137.0
A__	:			List[str]			   = 635_6752.31_4245
A__	:			Union[str, Any]			   = 6_37_81_37






def   a			(						lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_				):






				'''simple docstring'''
				lowercase__    =			(AXIS_A - AXIS_B) / AXIS_A
				lowercase__    =			atan((1 - flattening) * tan(radians(lowerCamelCase_				)				)				)
				lowercase__    =			atan((1 - flattening) * tan(radians(lowerCamelCase_				)				)				)
				lowercase__    =			radians(lowerCamelCase_				)
				lowercase__    =			radians(lowerCamelCase_				)
				# Equation
				lowercase__    =			sin((phi_a - phi_a) / 2				)
				lowercase__    =			sin((lambda_a - lambda_a) / 2				)
				# Square both values
				sin_sq_phi *= sin_sq_phi
				sin_sq_lambda *= sin_sq_lambda
				lowercase__    =			sqrt(sin_sq_phi + (cos(lowerCamelCase_				) * cos(lowerCamelCase_				) * sin_sq_lambda)				)
				return 2 * RADIUS * asin(lowerCamelCase_				)


if __name__ == "__main__":
							import doctest

							doctest.testmod()




