# \(\text{lnFactorial}\)¶

You can use the \(\text{lnFactorial}\) function to calculate the natural log of the factorial directly.

You can use the `\lnfactorial`

backslash command to insert this function.

The following variants of this function are available:

\(\text{real } \text{lnFactorial} \left ( \text{<value>} \right )\)

Where \(\text{<value>}\) represents an integer value.

Values greater than one are calculated by the relation:

To improve performance, this function caches values, once calculated. The function will also cache all intermediate values and will use the highest cached value when calculating new values.

Note

*Aion* will detect the construct \(\ln \left ( x ! \right )\) and
will use this function rather than calculating the log of the factorial as
two distinct operations.

The example below demonstrates how you can use this function: