package frama-c

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package frama-c
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Most complete lattices: all operations plus widening, notion of cardinal (including enumeration) and difference.

include AI_Lattice_with_cardinal_one
include Bounded_Join_Semi_Lattice
include Join_Semi_Lattice

datatype of element of the lattice

include Datatype.S
include Datatype.S_no_copy
include Datatype.Ty
type t
val ty : t Type.t
val name : string

Unique name of the datatype.

val descr : t Descr.t

Datatype descriptor.

val packed_descr : Structural_descr.pack

Packed version of the descriptor.

val reprs : t list

List of representants of the descriptor.

val equal : t -> t -> bool

Equality: same spec than Stdlib.(=).

val compare : t -> t -> int

Comparison: same spec than Stdlib.compare.

val hash : t -> int

Hash function: same spec than Hashtbl.hash.

val pretty : Stdlib.Format.formatter -> t -> unit

Pretty print each value in an user-friendly way.

val mem_project : (Project_skeleton.t -> bool) -> t -> bool

mem_project f x must return true iff there is a value p of type Project.t in x such that f p returns true.

val copy : t -> t

Deep copy: no possible sharing between x and copy x.

val join : t -> t -> t

over-approximation of union

val is_included : t -> t -> bool

is first argument included in the second?

val bottom : t

smallest element

include With_Top with type t := t
val top : t

largest element

include With_Widening with type t := t
type widen_hint

hints for the widening

val widen : widen_hint -> t -> t -> t

widen h t1 t2 is an over-approximation of join t1 t2. Assumes is_included t1 t2

include With_Cardinal_One with type t := t
val cardinal_zero_or_one : t -> bool
include With_Narrow with type t := t
val narrow : t -> t -> t

over-approximation of intersection

include With_Under_Approximation with type t := t

under-approximation of union

val meet : t -> t -> t

under-approximation of intersection

include With_Intersects with type t := t
val intersects : t -> t -> bool

intersects t1 t2 returns true iff the intersection of t1 and t2 is non-empty.

include With_Diff with type t := t
val diff : t -> t -> t

diff t1 t2 is an over-approximation of t1-t2. t2 must be an under-approximation or exact.

include With_Diff_One with type t := t
val diff_if_one : t -> t -> t

diff_if_one t1 t2 is an over-approximation of t1-t2.

  • returns

    t1 if t2 is not a singleton.

include With_Enumeration with type t := t
val fold_enum : (t -> 'a -> 'a) -> t -> 'a -> 'a

Fold on the elements of the value one by one if possible. Raises Abstract_interp.Not_less_than when there is an infinite number of elements to enumerate.

val cardinal_less_than : t -> int -> int

Raises Abstract_interp.Not_less_than whenever the cardinal of the given lattice is strictly higher than the given integer.