





"""simple docstring"""
from math import factorial, pi




def       __snake_case    (   __A			,__A = 30     )		->					float:


   if not isinstance(_UpperCamelCase			,(int, float)     ):
      raise ValueError("""maclaurin_sin() requires either an int or float for theta"""     )

   if not isinstance(_UpperCamelCase			,_UpperCamelCase     ) or accuracy <= 0:
      raise ValueError("""maclaurin_sin() requires a positive int for accuracy"""     )

   lowercase     :      Union[str, Any]	=							float(_UpperCamelCase     )
   lowercase     :      int	=							theta // (2 * pi)
   theta -= 2 * div * pi
   return sum(
       (-1) ** r * theta ** (2 * r + 1) / factorial(2 * r + 1     ) for r in range(_UpperCamelCase     )     )




def       __snake_case    (   __A			,__A = 30     )		->					float:


   if not isinstance(_UpperCamelCase			,(int, float)     ):
      raise ValueError("""maclaurin_cos() requires either an int or float for theta"""     )

   if not isinstance(_UpperCamelCase			,_UpperCamelCase     ) or accuracy <= 0:
      raise ValueError("""maclaurin_cos() requires a positive int for accuracy"""     )

   lowercase     :      Tuple	=							float(_UpperCamelCase     )
   lowercase     :      Union[str, Any]	=							theta // (2 * pi)
   theta -= 2 * div * pi
   return sum((-1) ** r * theta ** (2 * r) / factorial(2 * r     ) for r in range(_UpperCamelCase     )     )


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   print(maclaurin_sin(10))
   print(maclaurin_sin(-10))
   print(maclaurin_sin(10, 15))
   print(maclaurin_sin(-10, 15))

   print(maclaurin_cos(5))
   print(maclaurin_cos(-5))
   print(maclaurin_cos(10, 15))
   print(maclaurin_cos(-10, 15))





import string


def 							__lowerCAmelCase     (							_UpperCamelCase		:	str						)		->				str:
 '''simple docstring'''


 SCREAMING_SNAKE_CASE		    =      ''
 for i in sequence:
  SCREAMING_SNAKE_CASE		    =      ord(_UpperCamelCase						)
  if 65 <= extract <= 90:
   output += chr(1_55 - extract						)
  elif 97 <= extract <= 1_22:
   output += chr(2_19 - extract						)
  else:
   output += i
 return output


def 							__lowerCAmelCase     (							_UpperCamelCase		:	str						)		->				str:
 '''simple docstring'''


 SCREAMING_SNAKE_CASE		    =      string.ascii_letters
 SCREAMING_SNAKE_CASE		    =      string.ascii_lowercase[::-1] + string.ascii_uppercase[::-1]
 return "".join(
     letters_reversed[letters.index(_UpperCamelCase						)] if c in letters else c for c in sequence						)


def 							__lowerCAmelCase     (							)		->				None:
 '''simple docstring'''


 from timeit import timeit

 print('Running performance benchmarks...'						)
 SCREAMING_SNAKE_CASE		    =      'from string import printable ; from __main__ import atbash, atbash_slow'
 print(f"""> atbash_slow(): {timeit('atbash_slow(printable)'		,				setup=_UpperCamelCase						)} seconds"""						)
 print(f""">      atbash(): {timeit('atbash(printable)'		,				setup=_UpperCamelCase						)} seconds"""						)


if __name__ == "__main__":
      for example in ("ABCDEFGH", "123GGjj", "testStringtest", "with space"):
            print(F"""{example} encrypted in atbash: {atbash(example)}""")
      benchmark()

