Module DisjointDomain.ProjectiveMap

Map of keys E.t grouped into buckets by R, where each bucket is described by the map B with values V.t.

Common choice for B is MapDomain.Joined.

Handles Lattice.BotValue from B.

Parameters

module E : Printable.S
module V : Printable.S
module B : MapDomain.S with type key = E.t and type value = V.t
module R : Representative with type elt = E.t

Signature

include MapDomain.PS with type key = E.t with type value = B.value
include Printable.S
type t
type key = E.t

The type of the map keys.

type value = B.value

The type of the values.

val add : key -> value -> t -> t
val remove : key -> t -> t
val find : key -> t -> value
val find_opt : key -> t -> value option
val mem : key -> t -> bool
val iter : (key -> value -> unit) -> t -> unit
val map : (value -> value) -> t -> t
val filter : (key -> value -> bool) -> t -> t
val mapi : (key -> value -> value) -> t -> t
val fold : (key -> value -> 'a -> 'a) -> t -> 'a -> 'a
val add_list : (key * value) list -> t -> t
val add_list_set : key list -> value -> t -> t
val add_list_fun : key list -> (key -> value) -> t -> t
val for_all : (key -> value -> bool) -> t -> bool
val map2 : (value -> value -> value) -> t -> t -> t
val long_map2 : (value -> value -> value) -> t -> t -> t
val merge : (key -> value option -> value option -> value option) -> t -> t -> t
val cardinal : t -> int
val choose : t -> key * value
val singleton : key -> value -> t
val empty : unit -> t
val is_empty : t -> bool
val exists : (key -> value -> bool) -> t -> bool
val bindings : t -> (key * value) list
include Lattice.S with type t := t
include Lattice.PO with type t := t
include Printable.S with type t := t
val equal : t -> t -> bool
val hash : t -> int
val compare : t -> t -> int
val show : t -> string
val pretty : unit -> t -> Printable.Pretty.doc
val printXml : 'a BatInnerIO.output -> t -> unit
val name : unit -> string
val to_yojson : t -> Yojson.Safe.t
val tag : t -> int

Unique ID, given by HConsed, for context identification in witness

val arbitrary : unit -> t QCheck.arbitrary
val relift : t -> t
val leq : t -> t -> bool
val join : t -> t -> t
val meet : t -> t -> t
val widen : t -> t -> t

widen x y assumes leq x y. Solvers guarantee this by calling widen old (join old new).

val narrow : t -> t -> t
val pretty_diff : unit -> (t * t) -> Lattice.Pretty.doc

If leq x y = false, then pretty_diff () (x, y) should explain why.

include Lattice.Bot with type t := t
val bot : unit -> t
val is_bot : t -> bool
include Lattice.Top with type t := t
val top : unit -> t
val is_top : t -> bool
val widen_with_fct : (value -> value -> value) -> t -> t -> t
val join_with_fct : (value -> value -> value) -> t -> t -> t
val leq_with_fct : (value -> value -> bool) -> t -> t -> bool