I need to use hashtable of mutable variable in Ocaml, but it doesn't work out.
let link = Hashtbl.create 3;;
let a = ref [1;2];;
let b = ref [3;4];;
Hashtbl.add link a b;;
# Hashtbl.mem link a;;
- : bool = true
# a := 5::!a;;
- : unit = ()
# Hashtbl.mem link a;;
- : bool = false
Is there any way to make it works?
Variables in OCaml are never mutable—they can refer to mutable data, but what the variable points to can't be changed. Sometimes, though, you want to do exactly what you would do with a mutable variable in another language: define a single, mutable value.
OCaml stacks are mutable last-in-first-out (LIFO) data structures. They are just like lists, except that they are mutable, i.e. adding an element doesn't create a new stack but simply adds it to the stack.
Hashtable stores key/value pair in hash table. In Hashtable we specify an object that is used as a key, and the value we want to associate to that key. The key is then hashed, and the resulting hash code is used as the index at which the value is stored within the table.
Regarding the :: symbol - as already mentioned, it is used to create lists from a single element and a list ( 1::[2;3] creates a list [1;2;3] ).
You can use the functorial interface, which lets you supply your own hash and equality functions. Then you write functions that are based only on the non-mutable parts of your values. In this example, there are no non-mutable parts. So, it's not especially clear what you're expecting to find in the table. But in a more realistic example (in my experience) there are non-mutable parts that you can use.
If there aren't any non-mutable parts, you can add them specifically for use in hashing. You could add an arbitrary unique integer to each value, for example.
It's also possible to do hashing based on physical equality (==), which has a reasonable definition for references (and other mutable values). You have to be careful with it, though, as physical equality is a little tricky. For example, you can't use the physical address of a value as your hash key--an address can change at any time due to garbage collection.
Mutable variables that may happen to have the same content can still be distinguished because they are stored at different locations in memory. They can be compared with the physical equality operator (==
). However, OCaml doesn't provide anything better than equality, it doesn't provide a nontrivial hash function or order on references, so the only data structure you can build to store references is an association list of some form, with $\Theta(n)$ access time for most uses.
(You can actually get at the underlying pointer if you play dirty. But the pointer can move under your feet. There is a way to make use of it nonetheless, but if you need to ask, you shouldn't use it. And you aren't desperate enough for that anyway.)
It would be easy to compare references if two distinct references had a distinct content. So make it so! Add a unique identifier to your references. Keep a global counter, increment it by 1 each time you create a reference, and store the counter value with the data. Now your references can be indexed by their counter value.
let counter = ref 0
let new_var x = incr counter; ref (!counter, x)
let var_value v = snd !v
let update_var v x = v := (fst !v, x)
let hash_var v = Hashtbl.hash (fst !v)
For better type safety and improved efficiency, define a data structure containing a counter value and an item.
let counter = ref 0
type counter = int
type 'a variable = {
key : counter;
mutable data : 'a;
}
let new_var x = incr counter; {key = !counter; data = x}
let hash_var v = Hashtbl.hash v.key
You can put the code above in a module and make the counter
type abstract. Also, you can define a hash table module using the Hashtbl
functorial interface. Here's another way to define variables and a hash table structure on them with a cleaner, more modular structure.
module Counter = (struct
type t = int
let counter = ref 0
let next () = incr counter; !counter
let value c = c
end : sig
type t
val next : unit -> t
val value : t -> int
end)
module Variable = struct
type 'a variable = {
mutable data : 'a;
key : Counter.t;
}
let make x = {key = Counter.next(); data = x}
let update v x = v.data <- x
let get v = v.data
let equal v1 v2 = v1 == v2
let hash v = Counter.value v.key
let compare v1 v2 = Counter.value v2.key - Counter.value v1.key
end
module Make = functor(A : sig type t end) -> struct
module M = struct
type t = A.t Variable.variable
include Variable
end
module Hashtbl = Hashtbl.Make(M)
module Set = Set.Make(M)
module Map = Map.Make(M)
end
We need the intermediate module Variable
because the type variable
is parametric and the standard library data structure functors (Hashtbl.Make
, Set.Make
, Map.Make
) are only defined for type constructors with no argument. Here's an interface that exposes both the polymorphic interface (with the associated functions, but no data structures) and a functor to build any number of monomorphic instances, with an associated hash table (and set, and map) type.
module Variable : sig
type 'a variable
val make : 'a -> 'a variable
val update : 'a variable -> 'a -> unit
val get : 'a variable -> 'a
val equal : 'a -> 'a -> bool
val hash : 'a variable -> int
val compare : 'a variable -> 'b variable -> int
end
module Make : functor(A : sig type t end) -> sig
module M : sig
type t = A.t variable.variable
val make : A.t -> t
val update : t -> A.t -> unit
val get : t -> A.t
val equal : t -> t -> bool
val hash : t -> int
val compare : t -> t -> int
end
module Hashtbl : Hashtbl.S with type key = M.t
module Set : Set.S with type key = M.t
module Map : Map.S with type key = M.t
end
Note that if you expect that your program may generate more than 2^30 variables during a run, an int
won't cut it. You need two int
values to make a 2^60-bit value, or an Int64.t
.
Note that if your program is multithreaded, you need a lock around the counter, to make the incrementation and lookup atomic.
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