There are two different styles of writing functions which need the integer corresponding to a type level natural.
One approach is to use an explicit parameter of type `Nat n`. For example:
{{{
memset :: Storable a => ArrPtr n a -> a -> Nat n -> IO ()
memset = ...
}}}
This style is, basically, a more typed version of what is found in many standard C libraries.
Callers of this function have to pass the size of the array explicitly, and the type system checks that the size matches that of the array.
When defining `memset` we can just use `natToInteger` on the `Nat n` parameter to get the actual value of the array size.
Another approach is to let the system infer the parameter by using the class `TypeNat`. For example:
{{{
memsetAuto :: (Storable a, TypeNat n) => ArrPtr n a -> a -> IO ()
}}}
In this style, the caller of the function does not need to provide the type of the array explicitly.
Instead, it is computed automatically from the type of the array.
When defining `memsetAuto` we can use `nat`, the method of `TypeNat`, to get access to the value corresponding to the type level natural.
When using the implicit style, it is important that the type of `nat` is specified precisely. Failing to do so typically results in ambiguity errors
(i.e., GHC does not know which integer it should use). Another common mistake is to forget that 'nat' is a polymorphic value and so every time it is used it may refer to a different value.
An easy way to avoid such problems is to implement the implicit style functions in terms of the explicit ones. For example, we can implement `memsetAuto` like this:
{{{
memsetAuto arr val = memset arr val nat
}}}