Map

Module Map

Map creates a "mapping". For instance, lets say I have some data that is users and their associated passwords. I could with the Map module create a mapping from user names to their passwords. The mapping module not only does this but it does it fairly efficiently. It also does this in a functional way. In the example below I am going to do a mapping from strings to strings. However it is possible to do mappings with all different types of data.

To create a Map I can do:

# module MyUsers = Map.Make(String);;
module MyUsers :
  sig
    type key = String.t
    type 'a t = 'a Map.Make(String).t
    val empty : 'a t
    val is_empty : 'a t -> bool
    val mem : key -> 'a t -> bool
    val add : key -> 'a -> 'a t -> 'a t
    val update : key -> ('a option -> 'a option) -> 'a t -> 'a t
    val singleton : key -> 'a -> 'a t
    val remove : key -> 'a t -> 'a t
    val merge :
      (key -> 'a option -> 'b option -> 'c option) -> 'a t -> 'b t -> 'c t
    val union : (key -> 'a -> 'a -> 'a option) -> 'a t -> 'a t -> 'a t
    val compare : ('a -> 'a -> int) -> 'a t -> 'a t -> int
    val equal : ('a -> 'a -> bool) -> 'a t -> 'a t -> bool
    val iter : (key -> 'a -> unit) -> 'a t -> unit
    val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b
    val for_all : (key -> 'a -> bool) -> 'a t -> bool
    val exists : (key -> 'a -> bool) -> 'a t -> bool
    val filter : (key -> 'a -> bool) -> 'a t -> 'a t
    val partition : (key -> 'a -> bool) -> 'a t -> 'a t * 'a t
    val cardinal : 'a t -> int
    val bindings : 'a t -> (key * 'a) list
    val min_binding : 'a t -> key * 'a
    val min_binding_opt : 'a t -> (key * 'a) option
    val max_binding : 'a t -> key * 'a
    val max_binding_opt : 'a t -> (key * 'a) option
    val choose : 'a t -> key * 'a
    val choose_opt : 'a t -> (key * 'a) option
    val split : key -> 'a t -> 'a t * 'a option * 'a t
    val find : key -> 'a t -> 'a
    val find_opt : key -> 'a t -> 'a option
    val find_first : (key -> bool) -> 'a t -> key * 'a
    val find_first_opt : (key -> bool) -> 'a t -> (key * 'a) option
    val find_last : (key -> bool) -> 'a t -> key * 'a
    val find_last_opt : (key -> bool) -> 'a t -> (key * 'a) option
    val map : ('a -> 'b) -> 'a t -> 'b t
    val mapi : (key -> 'a -> 'b) -> 'a t -> 'b t
    val to_seq : 'a t -> (key * 'a) Seq.t
    val to_seq_from : key -> 'a t -> (key * 'a) Seq.t
    val add_seq : (key * 'a) Seq.t -> 'a t -> 'a t
    val of_seq : (key * 'a) Seq.t -> 'a t
  end

OK, we have created the module MyUsers. Now, lets start putting something into it. Where do we start? Well, let's create an empty map to begin with:

# let m = MyUsers.empty;;
val m : 'a MyUsers.t = <abstr>

Hummm. An empty map is kind of boring, so lets add some data.

# let m = MyUsers.add "fred" "sugarplums" m;;
val m : string MyUsers.t = <abstr>

We have now created a new map—again called m, thus masking the previous one—by adding "fred" and his password "sugarplums" to our previous empty map. There is a fairly important point to make here. Once we have added the string "sugarplums" we have fixed the types of mappings that we can do. This means our mapping in our module MyUsers is from strings to strings. If we want a mapping from strings to integers or a mapping from integers to whatever we will have to create a different mapping.

Lets add in some additional data just for kicks.

# let m = MyUsers.add "tom" "ilovelucy" m;;
val m : string MyUsers.t = <abstr>
# let m = MyUsers.add "mark" "ocamlrules" m;;
val m : string MyUsers.t = <abstr>
# let m = MyUsers.add "pete" "linux" m;;
val m : string MyUsers.t = <abstr>

Now that we have some data inside of our map, wouldn't it be nice to be able to view that data at some point? Lets begin by creating a simple print function.

# let print_user key password =
    print_string(key ^ " " ^ password ^ "\n");;
val print_user : string -> string -> unit = <fun>

We have here a function that will take two strings, a key and a password, and print them out nicely, including a new line character at the end. All we need to do is to have this function applied to our mapping. Here is what that would look like.

# MyUsers.iter print_user m;;
fred sugarplums
mark ocamlrules
pete linux
tom ilovelucy
- : unit = ()

The reason we put our data into a mapping however is probably so we can quickly find the data. Lets actually show how to do a find.

# MyUsers.find "fred" m;;
- : string = "sugarplums"

This should quickly and efficienty return Fred's password: "sugarplums".