slist

⚠️ Caution: this is a very opinionated library. There is no intention to replace the standard list data type.
We are aware of every design decision we made for this package, and we are taking responsibility for that design.
If you find it inappropriate, please, consider to use another library instead, that would fulfil your requirements.

This package introduces sized list data type — Slist. The data type
has the following shape:

data Slist a = Slist
    { sList :: [a]
    , sSize :: Size
    }

As you can see that along with the familiar list, it contains Size field that
represents the size of the structure. Slists can be finite or infinite, and this
is expressed with Size.

data Size
    = Size Int
    | Infinity

⚠️ Caution: Int is used for the size by design. We had to make some trade-offs
to provide the better (as we think) interface for users. For more details on the
choice, see the Haddock documentation for the Size data type.

This representation of the list gives some additional advantages. Getting the
length of the list is the “free” operation (runs in O(1)). This property
helps to improve the performance for a bunch of functions like take, drop,
at, etc. But also it doesn’t actually add any overhead on the existing
functions.

Also, this allows to write a number of safe functions like safeReverse,
safeHead, safeLast, safeIsSuffixOf, etc.

Comparison

Check out the comparison table between lists and slists performance.

Function	list (finite)	list (infinite)	Slist (finite)	Slist (infinite)
`length`	`O(n)`	<_hangs_>	`O(1)`	`O(1)`
`safeLast`	`O(n)`	<_hangs_>	`O(n)`	`O(1)`
`init`	`O(n)`	<_works infinitely_>	`O(n)`	`O(1)`
`take`	`O(min i n)`	`O(i)`	`0 < i < n`: `O(i)`; otherwise: `O(1)`	`O(i)`
`at`	`O(min i n)` (run-time exception)	`O(i)` (run-time exception)	`0 < i < n`: `O(i)`; otherwise: `O(1)`	`O(i)`
`safeStripPrefix`	`O(m)`	`O(m)` (can hang)	`O(m)`	`O(m)`

Potential usage cases

When you ask the size of the list too frequently.
When you need to convert to data structures that require to know the list
size in advance for allocating an array of the elements.
Example: Vector data structure.
When you need to serialise lists.
When you need to control the behaviour depending on the finiteness of the list.
When you need a more efficient or safe implementation of some functions.