package mopsa

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Module MapExt.ZMapSource

A few useful map instances.

Sourcetype key = Z.t

The type of the map keys.

Sourcetype +'a t

The type of maps from type key to type 'a.

Sourceval empty : 'a t

The empty map.

Sourceval is_empty : 'a t -> bool

Test whether a map is empty or not.

Sourceval mem : key -> 'a t -> bool

mem x m returns true if m contains a binding for x, and false otherwise.

Sourceval add : key -> 'a -> 'a t -> 'a 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.

Sourceval singleton : key -> 'a -> 'a t

singleton x y returns the one-element map that contains a binding y for x.

  • since 3.12.0
Sourceval remove : key -> 'a t -> 'a t

remove x m returns a map containing the same bindings as m, except for x which is unbound in the returned map.

Sourceval remove_min_binding : 'a t -> 'a t
Sourceval merge : (key -> 'a option -> 'b option -> 'c option) -> 'a t -> 'b t -> 'c t

merge f m1 m2 computes a map whose keys is a subset of keys of m1 and of m2. The presence of each such binding, and the corresponding value, is determined with the function f.

  • since 3.12.0
Sourceval compare : ('a -> 'a -> int) -> 'a t -> 'a t -> int

Total ordering between maps. The first argument is a total ordering used to compare data associated with equal keys in the two maps. We assume implicitly that cmp x x always returns 0.

Sourceval equal : ('a -> 'a -> bool) -> 'a t -> 'a t -> bool

equal cmp m1 m2 tests whether the maps m1 and m2 are equal, that is, contain equal keys and associate them with equal data. cmp is the equality predicate used to compare the data associated with the keys. We assume implicitly that cmp x x always returns true.

Sourceval iter : (key -> 'a -> unit) -> 'a 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 bindings are passed to f in increasing order with respect to the ordering over the type of the keys.

Sourceval fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b

fold f m a computes (f kN dN ... (f k1 d1 a)...), where k1 ... kN are the keys of all bindings in m (in increasing order), and d1 ... dN are the associated data.

Sourceval for_all : (key -> 'a -> bool) -> 'a t -> bool

for_all p m checks if all the bindings of the map satisfy the predicate p. The predicate p is tested on bindings according to the key order.

  • since 3.12.0
Sourceval exists : (key -> 'a -> bool) -> 'a t -> bool

exists p m checks if at least one binding of the map satisfy the predicate p. The predicate p is tested on bindings according to the key order.

  • since 3.12.0
Sourceval filter : (key -> 'a -> bool) -> 'a t -> 'a t

filter p m returns the map with all the bindings in m that satisfy predicate p. The predicate p is tested on bindings according to the key order.

  • since 3.12.0
Sourceval partition : (key -> 'a -> bool) -> 'a t -> 'a t * 'a t

partition p m returns a pair of maps (m1, m2), where m1 contains all the bindings of s that satisfy the predicate p, and m2 is the map with all the bindings of s that do not satisfy p.

  • since 3.12.0
Sourceval cardinal : 'a t -> int

Return the number of bindings of a map.

  • since 3.12.0
Sourceval bindings : 'a t -> (key * 'a) list

Return the list of all bindings of the given map. The returned list is sorted in increasing order with respect to the ordering Ord.compare, where Ord is the argument given to Map.Make.

  • since 3.12.0
Sourceval min_binding : 'a t -> key * 'a

Return the smallest binding of the given map (with respect to the Ord.compare ordering), or raise Not_found if the map is empty.

  • since 3.12.0
Sourceval max_binding : 'a t -> key * 'a

Same as Map.S.min_binding, but returns the largest binding of the given map.

  • since 3.12.0
Sourceval choose : 'a t -> key * 'a

Return one binding of the given map, or raise Not_found if the map is empty. Which binding is chosen is unspecified, but equal bindings will be chosen for equal maps.

  • since 3.12.0
Sourceval split : key -> 'a t -> 'a t * 'a option * 'a t

split x m returns a triple (l, data, r), where l is the map with all the bindings of m whose key is strictly less than x; r is the map with all the bindings of m whose key is strictly greater than x; data is None if m contains no binding for x, or Some v if m binds v to x.

  • since 3.12.0
Sourceval find : key -> 'a t -> 'a

find x m returns the current binding of x in m, or raises Not_found if no such binding exists.

Sourceval find_opt : key -> 'a t -> 'a option

find_opt x m returns Some v if the current binding of x in m is v, or None if no such binding exists.

  • since 4.05
Sourceval map : ('a -> 'b) -> 'a t -> '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 bindings are passed to f in increasing order with respect to the ordering over the type of the keys.

Sourceval mapi : (key -> 'a -> 'b) -> 'a t -> 'b t

Same as Map.S.map, but the function receives as arguments both the key and the associated value for each binding of the map.

Additional functions

Sourceval is_singleton : 'a t -> bool

is_singleton m checks whether a map contains only one binding

Sourceval of_list : (key * 'a) list -> 'a t

of_list l converts an association list to a map.

Sourceval map2 : (key -> 'a -> 'b -> 'c) -> 'a t -> 'b t -> 'c t

map2 f m1 m2 is similar to map but applies f to pairs of bindings a1 from m1 and a2 from m2 corresponding to the same key to construct a new map with the same key set. m1 and m2 must have the same key sets. The bindings are passed to f in increasing order of key.

Sourceval iter2 : (key -> 'a -> 'b -> unit) -> 'a t -> 'b t -> unit

iter2 f m1 m2 is similar to map but applies f to pairs of bindings a1 from m1 and a2 from m2 corresponding to the same key. m1 and m2 must have the same key sets. The bindings are passed to f in increasing order of key.

Sourceval fold2 : (key -> 'a -> 'b -> 'c -> 'c) -> 'a t -> 'b t -> 'c -> 'c

fold2 f m1 m2 x is similar to fold but applies f to pairs of bindings a1 from m1 and a2 from m2 corresponding to the same key. m1 and m2 must have the same key sets. The bindings are passed to f in increasing order of keys.

Sourceval for_all2 : (key -> 'a -> 'b -> bool) -> 'a t -> 'b t -> bool

for_all2 f m1 m2 is similar to for_all but applies f to pairs of bindings a1 from m1 and a2 from m2 corresponding to the same key. m1 and m2 must have the same key sets. The bindings are passed to f in increasing order of keys.

Sourceval exists2 : (key -> 'a -> 'b -> bool) -> 'a t -> 'b t -> bool

exists2 f m1 m2 is similar to exists but applies f to pairs of bindings a1 from m1 and a2 from m2 corresponding to the same key. m1 and m2 must have the same key sets. The bindings are passed to f in increasing order of keys.

Sourceval map2z : (key -> 'a -> 'a -> 'a) -> 'a t -> 'a t -> 'a t

map2z f m1 m2 is similar to map2 f m1 m2, but physically equal subtrees are put unchanged into the result instead of being traversed. This is more efficient than map2, and equivalent if f is side-effect free and idem-potent (f k a a = a). m1 and m2 must have the same key sets. The bindings are passed to f in increasing order of keys.

Sourceval iter2z : (key -> 'a -> 'a -> unit) -> 'a t -> 'a t -> unit

iter2z f m1 m2 is similar to iter2 f m1 m2, but physically equal subtrees are ignored. This is more efficient than iter2, and equivalent if f k a a has no effect. m1 and m2 must have the same key sets. The bindings are passed to f in increasing order of keys.

Sourceval fold2z : (key -> 'a -> 'a -> 'b -> 'b) -> 'a t -> 'a t -> 'b -> 'b

fold2z f m1 m2 a is similar to fold2 f m1 m2 a, but physically equal subtrees are ignored. This is more efficient than fold2, and equivalent if f k a a x = x and has no effect. m1 and m2 must have the same key sets. The bindings are passed to f in increasing order of keys.

Sourceval for_all2z : (key -> 'a -> 'a -> bool) -> 'a t -> 'a t -> bool

for_all2z f m1 m2 is similar to for_all2 f m1 m2, but returns true for physically equal subtrees without traversing them. This is more efficient than for_all2z, and equivalent if f k a a = true and has no effect. m1 and m2 must have the same key sets. The bindings are passed to f in increasing order of keys.

Sourceval exists2z : (key -> 'a -> 'a -> bool) -> 'a t -> 'a t -> bool

exists2z f m1 m2 is similar to exists2 f m1 m2, but returns false for physically equal subtrees without traversing them. This is more efficient than exists2z, and equivalent if f k a a = false and has no effect. m1 and m2 must have the same key sets. The bindings are passed to f in increasing order of keys.

Sourceval map2o : (key -> 'a -> 'c) -> (key -> 'b -> 'c) -> (key -> 'a -> 'b -> 'c) -> 'a t -> 'b t -> 'c t

map2o f1 f2 f m1 m2 is similar to map2 f m1 m2, but accepts maps defined over different sets of keys. To get a new binding, f1 is used for keys appearing only in m1, f2 for keys appearing only in m2, and f for keys appearing in both maps. The returned map has bindings for all keys appearing in either m1 or m2. The bindings are passed to f, f1, f2 in increasing order of keys.

Sourceval iter2o : (key -> 'a -> unit) -> (key -> 'b -> unit) -> (key -> 'a -> 'b -> unit) -> 'a t -> 'b t -> unit

iter2o f1 f2 f m1 m2 is similar to iter2 f m1 m2, but accepts maps defined over different sets of keys. f1 is called for keys appearing only in m1, f2 for keys appearing only in m2, and f for keys appearing in both maps. The bindings are passed to f, f1, f2 in increasing order of keys.

Sourceval fold2o : (key -> 'a -> 'c -> 'c) -> (key -> 'b -> 'c -> 'c) -> (key -> 'a -> 'b -> 'c -> 'c) -> 'a t -> 'b t -> 'c -> 'c

fold2o f1 f2 f m1 m2 a is similar to fold2 f m1 m2 a, but accepts maps defined over different sets of keys. f1 is called for keys appearing only in m1, f2 for keys appearing only in m2, and f for keys appearing in both maps. The bindings are passed to f, f1, f2 in increasing order of keys.

Sourceval for_all2o : (key -> 'a -> bool) -> (key -> 'b -> bool) -> (key -> 'a -> 'b -> bool) -> 'a t -> 'b t -> bool

for_all2o f1 f2 f m1 m2 is similar to for_all2 f m1 m2, but accepts maps defined over different sets of keys. f1 is called for keys appearing only in m1, f2 for keys appearing only in m2, and f for keys appearing in both maps. The bindings are passed to f, f1, f2 in increasing order of keys.

Sourceval exists2o : (key -> 'a -> bool) -> (key -> 'b -> bool) -> (key -> 'a -> 'b -> bool) -> 'a t -> 'b t -> bool

fexists2o f1 f2 f m1 m2 is similar to fexists2 f m1 m2, but accepts maps defined over different sets of keys. f1 is called for keys appearing only in m1, f2 for keys appearing only in m2, and f for keys appearing in both maps. The bindings are passed to f, f1, f2 in increasing order of keys.

Sourceval map2zo : (key -> 'a -> 'a) -> (key -> 'a -> 'a) -> (key -> 'a -> 'a -> 'a) -> 'a t -> 'a t -> 'a t

map2zo f1 f2 f m1 m2 is similar to map2o f1 f2 f m1 m2 but, similary to map2z, f is not called on physically equal subtrees. This is more efficient than map2o, and equivalent if f is side-effect free and idem-potent (f k a a = a). The returned map has bindings for all keys appearing in either m1 or m2. The bindings are passed to f, f1, f2 in increasing order of keys.

Sourceval iter2zo : (key -> 'a -> unit) -> (key -> 'a -> unit) -> (key -> 'a -> 'a -> unit) -> 'a t -> 'a t -> unit

iter2zo f1 f2 f m1 m2 is similar to iter2o f1 f2 f m1 m2 but, similary to iter2z, f is not called on physically equal subtrees. This is more efficient than iter2o, and equivalent if f is side-effect free. The bindings are passed to f, f1, f2 in increasing order of keys.

Sourceval fold2zo : (key -> 'a -> 'b -> 'b) -> (key -> 'a -> 'b -> 'b) -> (key -> 'a -> 'a -> 'b -> 'b) -> 'a t -> 'a t -> 'b -> 'b

fold2zo f1 f2 f m1 m2 a is similar to fold2o f1 f2 f m1 m2 a but, similary to fold2z, f is not called on physically equal subtrees. This is more efficient than fold2o, and equivalent if f k a a x = x and has no side-effect. The bindings are passed to f, f1, f2 in increasing order of keys.

Sourceval for_all2zo : (key -> 'a -> bool) -> (key -> 'a -> bool) -> (key -> 'a -> 'a -> bool) -> 'a t -> 'a t -> bool

for_all2zo f1 f2 f m1 m2 is similar to for_all2o f1 f2 f m1 m2 but, similary to for_all2z, f is not called on physically equal subtrees. This is more efficient than for_all2o, and equivalent if f k a a = true and has no side-effect. The bindings are passed to f, f1, f2 in increasing order of keys.

Sourceval exists2zo : (key -> 'a -> bool) -> (key -> 'a -> bool) -> (key -> 'a -> 'a -> bool) -> 'a t -> 'a t -> bool

exists2zo f1 f2 f m1 m2 is similar to exists2o f1 f2 f m1 m2 but, similary to exists2z, f is not called on physically equal subtrees. This is more efficient than exists2o, and equivalent if f k a a = false and has no side-effect. The bindings are passed to f, f1, f2 in increasing order of keys.

Sourceval map_slice : (key -> 'a -> 'a) -> 'a t -> key -> key -> 'a t

map_slice f m k1 k2 is similar to map f m, but only applies f to bindings with key greater or equal to k1 and smaller or equal to k2 to construct the returned map. Bindings with keys outside this range in m are put unchanged in the result. It is as if, outside this range, f k a = a and has no effect. The result has the same key set as m. The bindings are passed to f in increasing order of keys, between k1 and k2.

Sourceval iter_slice : (key -> 'a -> unit) -> 'a t -> key -> key -> unit

iter_slice f m k1 k2 is similar to iter f m, but only calls f on bindings with key greater or equal to k1 and smaller or equal to k2. It is as if, outside this range, f k a has no effect. The bindings are passed to f in increasing order of keys, between k1 and k2.

Sourceval fold_slice : (key -> 'a -> 'b -> 'b) -> 'a t -> key -> key -> 'b -> 'b

fold_slice f m k1 k2 a is similar to fold f m, but only calls f on bindings with key greater or equal to k1 and smaller or equal to k2. It is as if, outside this range, f k a x = x and has no effect. The bindings are passed to f in increasing order of keys, between k1 and k2.

Sourceval for_all_slice : (key -> 'a -> bool) -> 'a t -> key -> key -> bool

for_all_slice f m k1 k2 a is similar to for_all f m, but only calls f on bindings with key greater or equal to k1 and smaller or equal to k2. It is as if, outside this range, f k a = true and has no effect. The bindings are passed to f in increasing order of keys, between k1 and k2.

Sourceval exists_slice : (key -> 'a -> bool) -> 'a t -> key -> key -> bool

exists_slice f m k1 k2 a is similar to exists f m, but only calls f on bindings with key greater or equal to k1 and smaller or equal to k2. It is as if, outside this range, f k a = false and has no effect. The bindings are passed to f in increasing order of keys, between k1 and k2.

Sourceval key_equal : 'a t -> 'a t -> bool

key_equal m1 m2 returns true if m1 and m2 are defined over exactly the same set of keys (but with possibly different values).

Sourceval key_subset : 'a t -> 'a t -> bool

key_equal m1 m2 returns true if m1 is defined on a subset of the keys of m2 (but with possibly different values).

Sourceval find_greater : key -> 'a t -> key * 'a

find_greater k m returns the binding (key and value) in m with key strictly greater than k and as small as possible. Raises Not_found if m has no binding for a key strictly greater than k.

Sourceval find_less : key -> 'a t -> key * 'a

find_less k m returns the binding (key and value) in m with key strictly less than k and as large as possible. Raises Not_found if m has no binding for a key strictly less than k.

Sourceval find_greater_equal : key -> 'a t -> key * 'a

find_greater_euql k m returns the binding (key and value) in m with key greater or equal to k and as small as possible. Raises Not_found if m has no binding for a key greater or equal to k.

Sourceval find_less_equal : key -> 'a t -> key * 'a

find_less_equal k m returns the binding (key and value) in m with key less or equal to k and as large as possible. Raises Not_found if m has no binding for a key less or equal to k.

Printing

Sourceval to_string : MapExtSig.map_printer -> (key -> string) -> ('a -> string) -> 'a t -> string

String representation.

Sourceval print : MapExtSig.map_printer -> (Stdlib.out_channel -> key -> unit) -> (Stdlib.out_channel -> 'a -> unit) -> Stdlib.out_channel -> 'a t -> unit

Prints to an output_channel (for Printf.(f)printf).

Sourceval fprint : MapExtSig.map_printer -> (Stdlib.Format.formatter -> key -> unit) -> (Stdlib.Format.formatter -> 'a -> unit) -> Stdlib.Format.formatter -> 'a t -> unit

Prints to a formatter (for Format.(f)printf).

Sourceval bprint : MapExtSig.map_printer -> (Stdlib.Buffer.t -> key -> unit) -> (Stdlib.Buffer.t -> 'a -> unit) -> Stdlib.Buffer.t -> 'a t -> unit

Prints to a string buffer (for Printf.bprintf).

Translation to polymorphic maps

Sourceval to_poly_map : 'a t -> (key, 'a) MapExtPoly.t
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