





def      __snake_case						(					_lowerCAmelCase : List[Any]	) ->						float:
   return -num if num < 0 else num

def      __snake_case						(					_lowerCAmelCase : str	) ->						int:
   if len(lowercase_	) == 0:
      raise ValueError("abs_min() arg is an empty sequence"	)
   A_					:				int          =			x[0]
   for i in x:
      if abs_val(lowercase_	) < abs_val(lowercase_	):
         A_					:				List[Any]          =			i
   return j

def      __snake_case						(					_lowerCAmelCase : Dict	) ->						int:
   if len(lowercase_	) == 0:
      raise ValueError("abs_max() arg is an empty sequence"	)
   A_					:				Tuple          =			x[0]
   for i in x:
      if abs(lowercase_	) > abs(lowercase_	):
         A_					:				Any          =			i
   return j

def      __snake_case						(					_lowerCAmelCase : Optional[int]	) ->						int:
   if len(lowercase_	) == 0:
      raise ValueError("abs_max_sort() arg is an empty sequence"	)
   return sorted(lowercase_				,				key=lowercase_	)[-1]

def      __snake_case						(					) ->						str:
   assert abs_val(0	) == 0
   assert abs_val(34	) == 34
   assert abs_val(-100000000000	) == 100000000000

   A_					:				List[str]          =			[-3, -1, 2, -11]
   assert abs_max(lowercase_	) == -11
   assert abs_max_sort(lowercase_	) == -11
   assert abs_min(lowercase_	) == -1


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 test_abs_val()
 print(abs_val(-34))  # --> 34






def      __snake_case						(					_lowerCAmelCase : int				,				_lowerCAmelCase : int = 1000	) ->						str:
   if (not isinstance(_lowerCAmelCase				,				_lowerCAmelCase	)) or (digit_position <= 0):
      raise ValueError("Digit position must be a positive integer"	)
   elif (not isinstance(_lowerCAmelCase				,				_lowerCAmelCase	)) or (precision < 0):
      raise ValueError("Precision must be a nonnegative integer"	)

   # compute an approximation of (16 ** (n - 1)) * pi whose fractional part is mostly
   # accurate
   A_					:				List[str]          =			(
       4 * _subsum(_lowerCAmelCase				,				1				,				_lowerCAmelCase	)
       - 2 * _subsum(_lowerCAmelCase				,				4				,				_lowerCAmelCase	)
       - _subsum(_lowerCAmelCase				,				5				,				_lowerCAmelCase	)
       - _subsum(_lowerCAmelCase				,				6				,				_lowerCAmelCase	)
   )

   # return the first hex digit of the fractional part of the result
   return hex(int((sum_result % 1) * 16	)	)[2:]

def      __snake_case						(					_lowerCAmelCase : int				,				_lowerCAmelCase : int				,				_lowerCAmelCase : int	) ->						float:
   A_					:				int          =			0.0
   for sum_index in range(digit_pos_to_extract + precision	):
      A_					:				Optional[int]          =			8 * sum_index + denominator_addend
      if sum_index < digit_pos_to_extract:
         # if the exponential term is an integer and we mod it by the denominator
         # before dividing, only the integer part of the sum will change;
         # the fractional part will not
         A_					:				Optional[Any]          =			pow(
             16				,				digit_pos_to_extract - 1 - sum_index				,				_lowerCAmelCase	)
      else:
         A_					:				Tuple          =			pow(16				,				digit_pos_to_extract - 1 - sum_index	)
      total += exponential_term / denominator
   return total


if __name__ == "__main__":
 import doctest

 doctest.testmod()
