scipy 1.8.0 Pypi GitHub Homepage
Other Docs
NotesParametersReturnsBackRef
factorial(n, exact=False)

The factorial of non-negative integer n is the product of all positive integers less than or equal to n:

n! = n * (n - 1) * (n - 2) * ... * 1

Notes

For arrays with exact=True , the factorial is computed only once, for the largest input, with each other result computed in the process. The output dtype is increased to int64 or object if necessary.

With exact=False the factorial is approximated using the gamma function:

$$n! = \Gamma(n+1)$$

Parameters

n : int or array_like of ints

Input values. If n < 0 , the return value is 0.

exact : bool, optional

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.

Returns

nf : float or int or ndarray

Factorial of n, as integer or float depending on :None:None:`exact`.

The factorial of a number or array of numbers.

Examples

>>> from scipy.special import factorial
... arr = np.array([3, 4, 5])
... factorial(arr, exact=False) array([ 6., 24., 120.])
>>> factorial(arr, exact=True)
array([  6,  24, 120])
>>> factorial(5, exact=True)
120
See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.special._basic.factorial

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /scipy/special/_basic.py#2311
type: <class 'function'>
Commit: