




'''simple docstring'''





import itertools
import string
from collections.abc import Generator, Iterable




def 		lowerCAmelCase_   (	lowerCamelCase	,     lowerCamelCase   ):
				__magic_name__	:	Union[str, Any]								=iter(lowerCamelCase   )
				while True:
								__magic_name__	:	Union[str, Any]								=tuple(itertools.islice(lowerCamelCase	,     lowerCamelCase   )   )
								if not chunk:
												return
								yield chunk




def 		lowerCAmelCase_   (	lowerCamelCase   ):
				__magic_name__	:	str								="""""".join([c.upper() for c in dirty if c in string.ascii_letters]   )
				__magic_name__	:	Union[str, Any]								=""""""

				if len(lowerCamelCase   ) < 2:
								return dirty

				for i in range(len(lowerCamelCase   ) - 1   ):
								clean += dirty[i]

								if dirty[i] == dirty[i + 1]:
												clean += "X"

				clean += dirty[-1]

				if len(lowerCamelCase   ) & 1:
								clean += "X"

				return clean




def 		lowerCAmelCase_   (	lowerCamelCase   ):
				# I and J are used interchangeably to allow
				# us to use a 5x5 table (25 letters)
				__magic_name__	:	Optional[Any]								="""ABCDEFGHIKLMNOPQRSTUVWXYZ"""
				# we're using a list instead of a '2d' array because it makes the math
				# for setting up the table and doing the actual encoding/decoding simpler
				__magic_name__	:	Optional[Any]								=[]

				# copy key chars into the table if they are in `alphabet` ignoring duplicates
				for char in key.upper():
								if char not in table and char in alphabet:
												table.append(lowerCamelCase   )

    # fill the rest of the table in with the remaining alphabet chars
				for char in alphabet:
								if char not in table:
												table.append(lowerCamelCase   )

				return table




def 		lowerCAmelCase_   (	lowerCamelCase	,     lowerCamelCase   ):
				__magic_name__	:	Optional[int]								=generate_table(lowerCamelCase   )
				__magic_name__	:	List[Any]								=prepare_input(lowerCamelCase   )
				__magic_name__	:	Optional[Any]								=""""""

				# https://en.wikipedia.org/wiki/Playfair_cipher#Description
				for chara, chara in chunker(lowerCamelCase	,     2   ):
								__magic_name__	:	Tuple								=divmod(table.index(lowerCamelCase   )	,     5   )
								__magic_name__	:	List[str]								=divmod(table.index(lowerCamelCase   )	,     5   )

								if rowa == rowa:
												ciphertext += table[rowa * 5 + (cola + 1) % 5]
												ciphertext += table[rowa * 5 + (cola + 1) % 5]
								elif cola == cola:
												ciphertext += table[((rowa + 1) % 5) * 5 + cola]
												ciphertext += table[((rowa + 1) % 5) * 5 + cola]
								else:  # rectangle
												ciphertext += table[rowa * 5 + cola]
												ciphertext += table[rowa * 5 + cola]

				return ciphertext




def 		lowerCAmelCase_   (	lowerCamelCase	,     lowerCamelCase   ):
				__magic_name__	:	List[Any]								=generate_table(lowerCamelCase   )
				__magic_name__	:	Dict								=""""""

				# https://en.wikipedia.org/wiki/Playfair_cipher#Description
				for chara, chara in chunker(lowerCamelCase	,     2   ):
								__magic_name__	:	Tuple								=divmod(table.index(lowerCamelCase   )	,     5   )
								__magic_name__	:	List[str]								=divmod(table.index(lowerCamelCase   )	,     5   )

								if rowa == rowa:
												plaintext += table[rowa * 5 + (cola - 1) % 5]
												plaintext += table[rowa * 5 + (cola - 1) % 5]
								elif cola == cola:
												plaintext += table[((rowa - 1) % 5) * 5 + cola]
												plaintext += table[((rowa - 1) % 5) * 5 + cola]
								else:  # rectangle
												plaintext += table[rowa * 5 + cola]
												plaintext += table[rowa * 5 + cola]

				return plaintext










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

from .haversine_distance import haversine_distance

UpperCAmelCase_		:				Dict									=     637_8137.0
UpperCAmelCase_		:				List[Any]									=     635_6752.31_4245
UpperCAmelCase_		:				List[str]									=     6378137




def 		lowerCAmelCase_   (	lowerCamelCase	,     lowerCamelCase	,     lowerCamelCase	,     lowerCamelCase   ):
				__magic_name__	:	str								=(AXIS_A - AXIS_B) / AXIS_A
				# Parametric latitudes
				# https://en.wikipedia.org/wiki/Latitude#Parametric_(or_reduced)_latitude
				__magic_name__	:	str								=atan((1 - flattening) * tan(radians(lowerCamelCase   )   )   )
				__magic_name__	:	List[Any]								=atan((1 - flattening) * tan(radians(lowerCamelCase   )   )   )

				# Compute central angle between two points
				# using haversine theta. sigma =  haversine_distance / equatorial radius
				__magic_name__	:	List[Any]								=haversine_distance(lowerCamelCase	,     lowerCamelCase	,     lowerCamelCase	,     lowerCamelCase   ) / EQUATORIAL_RADIUS

				# Intermediate P and Q values
				__magic_name__	:	Tuple								=(b_lata + b_lata) / 2
				__magic_name__	:	int								=(b_lata - b_lata) / 2

				# Intermediate X value
				# X = (sigma - sin(sigma)) * sin^2Pcos^2Q / cos^2(sigma/2)
				__magic_name__	:	Optional[int]								=(sin(lowerCamelCase   ) ** 2) * (cos(lowerCamelCase   ) ** 2)
				__magic_name__	:	Any								=cos(sigma / 2   ) ** 2
				__magic_name__	:	List[Any]								=(sigma - sin(lowerCamelCase   )) * (x_numerator / x_demonimator)

				# Intermediate Y value
				# Y = (sigma + sin(sigma)) * cos^2Psin^2Q / sin^2(sigma/2)
				__magic_name__	:	Any								=(cos(lowerCamelCase   ) ** 2) * (sin(lowerCamelCase   ) ** 2)
				__magic_name__	:	Optional[Any]								=sin(sigma / 2   ) ** 2
				__magic_name__	:	str								=(sigma + sin(lowerCamelCase   )) * (y_numerator / y_denominator)

				return EQUATORIAL_RADIUS * (sigma - ((flattening / 2) * (x_value + y_value)))


if __name__ == "__main__":
							import doctest

							doctest.testmod()




