Module Map
structure Map = struct ... end
Association tables over types ordered by
Pervasives.compare
. If you want association tables over types with specific order, use
MakeMap
.
This module implements applicative association tables, also known as
finite maps or dictionaries, given a total ordering function
over the keys.
All operations over maps are purely applicative (no side-effects).
The implementation uses balanced binary trees, and therefore searching
and insertion take time logarithmic in the size of the map.
type ('a, 'b)
t
The type of maps from type 'a
to type 'b
.
val empty : ('a, 'b) t
The empty map.
val add : 'a -> 'b -> ('a, 'b) t -> ('a, 'b) t
add x y m
returns a map containing the same bindings as
m
, plus a binding of x
to y
. If x
was already bound
in m
, its previous binding disappears.
val find : 'a -> ('a, 'b) t -> 'b
find x m
returns the current binding of x
in m
,
or raises Not_found
if no such binding exists.
val remove : 'a -> ('a, 'b) t -> ('a, 'b) t
remove x m
returns a map containing the same bindings as
m
, except for x
which is unbound in the returned map.
val mem : 'a -> ('a, 'b) t -> bool
mem x m
returns true
if m
contains a binding for x
,
and false
otherwise.
val iter : ('a -> 'b -> unit) -> ('a, 'b) t -> unit
iter f m
applies f
to all bindings in map m
.
f
receives the key as first argument, and the associated value
as second argument. The order in which the bindings are passed to
f
is unspecified. Only current bindings are presented to f
:
bindings hidden by more recent bindings are not passed to f
.
val map : ('a -> 'b) -> ('c, 'a) t -> ('c, 'b) t
map f m
returns a map with same domain as m
, where the
associated value a
of all bindings of m
has been
replaced by the result of the application of f
to a
.
The order in which the associated values are passed to f
is unspecified.
val mapi : ('a -> 'b -> 'c) -> ('a, 'b) t -> ('a, 'c) t
Same as
Map.map
, but the function receives as arguments both the
key and the associated value for each binding of the map.
val fold : ('a -> 'b -> 'c -> 'c) -> ('a, 'b) t -> 'c -> 'c
fold f m a
computes (f kN dN ... (f k1 d1 a)...)
,
where k1 ... kN
are the keys of all bindings in m
,
and d1 ... dN
are the associated data.
The order in which the bindings are presented to f
is
unspecified.