2021-06-03 22:53:49 +08:00

31 lines
1.0 KiB
Python

from ..core import numeric as np
from ._gamma import gamma
from org.meteoinfo.math.special import SpecialUtil
__all__ = ['factorial']
def factorial(n, exact=False):
"""
The factorial of a number or array of numbers.
The factorial of non-negative integer n is the product of all positive integers less than or equal to n:
:param n: (*int or array_like of ints*) Input values. If `n < 0`, the return value is 0.
:param exact: (*bool*) If True, calculate the answer exactly using long integer arithmetic. If False,
result is approximated in floating point rapidly using the `gamma` function. Default is False.
:return: Factorial of *n*, as integer or float depending on *exact*.
"""
if isinstance(n, (list, tuple)):
n = np.array(n)
if exact:
if isinstance(n, np.NDArray):
n = n.asarray()
r = SpecialUtil.factorial(n)
if isinstance(r, long):
return r
else:
return np.array(r)
else:
return gamma(n + 1)