


from functools import lru_cache
@lru_cache
def 				UpperCAmelCase_					(							__snake_case						)     ->			int:







 """simple docstring"""


 if num < 0:
  raise ValueError('''Number should not be negative.'''						)

 return 1 if num in (0, 1) else num * factorial(num - 1						)


if __name__ == "__main__":
  import doctest

  doctest.testmod()








from __future__ import annotations







def  _SCREAMING_SNAKE_CASE				(   a					,						a					,						a  )      ->      float:
					if days_between_payments <= 0:
										raise ValueError('days_between_payments must be > 0'  )
					if daily_interest_rate < 0:
										raise ValueError('daily_interest_rate must be >= 0'  )
					if principal <= 0:
										raise ValueError('principal must be > 0'  )
					return principal * daily_interest_rate * days_between_payments







def  _SCREAMING_SNAKE_CASE				(   a					,						a					,						a					,						)      ->      float:
					if number_of_compounding_periods <= 0:
										raise ValueError('number_of_compounding_periods must be > 0'  )
					if nominal_annual_interest_rate_percentage < 0:
										raise ValueError('nominal_annual_interest_rate_percentage must be >= 0'  )
					if principal <= 0:
										raise ValueError('principal must be > 0'  )

					return principal * (
					    (1 + nominal_annual_interest_rate_percentage) ** number_of_compounding_periods
					    - 1
					)







def  _SCREAMING_SNAKE_CASE				(   a					,						a					,						a					,						)      ->      float:
					if number_of_years <= 0:
										raise ValueError('number_of_years must be > 0'  )
					if nominal_annual_percentage_rate < 0:
										raise ValueError('nominal_annual_percentage_rate must be >= 0'  )
					if principal <= 0:
										raise ValueError('principal must be > 0'  )

					return compound_interest(
					    a					,						nominal_annual_percentage_rate / 3_65					,						number_of_years * 3_65  )


if __name__ == "__main__":
				import doctest

				doctest.testmod()




