




"""simple docstring"""

from math import factorial, pi






def 		_snake_case	(   _snake_case				:   float							,    _snake_case				:   int = 30				)       ->   float:






      '''simple docstring'''


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

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

      _A     =  float(_snake_case				)
      _A     =  theta // (2 * pi)
      theta -= 2 * div * pi
      return sum(
          (-1) ** r * theta ** (2 * r + 1) / factorial(2 * r + 1				) for r in range(_snake_case				)				)






def 		_snake_case	(   _snake_case				:   float							,    _snake_case				:   int = 30				)       ->   float:






      '''simple docstring'''


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

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

      _A     =  float(_snake_case				)
      _A     =  theta // (2 * pi)
      theta -= 2 * div * pi
      return sum((-1) ** r * theta ** (2 * r) / factorial(2 * r				) for r in range(_snake_case				)				)


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))




def 							_lowerCamelCase   (			SCREAMING_SNAKE_CASE   ):
      '''simple docstring'''







      if len(SCREAMING_SNAKE_CASE   ) < 2:
            return collection

      def circle_sort_util(SCREAMING_SNAKE_CASE		,				SCREAMING_SNAKE_CASE		,				SCREAMING_SNAKE_CASE   ) -> bool:
            A_							       =		False

            if low == high:
                  return swapped

            A_							       =		low
            A_							       =		high

            while left < right:
                  if collection[left] > collection[right]:
                        A_       ,A_							       =		(
                            collection[right],
                            collection[left],
                        )
                        A_							       =		True

                  left += 1
                  right -= 1

            if left == right and collection[left] > collection[right + 1]:
                  A_       ,A_							       =		(
                      collection[right + 1],
                      collection[left],
                  )

                  A_							       =		True

            A_							       =		low + int((high - low) / 2   )
            A_							       =		circle_sort_util(SCREAMING_SNAKE_CASE		,				SCREAMING_SNAKE_CASE		,				SCREAMING_SNAKE_CASE   )
            A_							       =		circle_sort_util(SCREAMING_SNAKE_CASE		,				mid + 1		,				SCREAMING_SNAKE_CASE   )

            return swapped or left_swap or right_swap

      A_							       =		True

      while is_not_sorted is True:
            A_							       =		circle_sort_util(SCREAMING_SNAKE_CASE		,				0		,				len(SCREAMING_SNAKE_CASE   ) - 1   )

      return collection


if __name__ == "__main__":
      __lowercase				      =						input("""Enter numbers separated by a comma:\n""").strip()
      __lowercase				      =						[int(item) for item in user_input.split(""",""")]
      print(circle_sort(unsorted))





