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open Ast
open Formula
module type NUMERICAL_ENVIRONMENT_DOMAIN = sig
type t
type itv
(* construction *)
val init : t
val bottom : t
val vbottom : t -> t (* bottom value with same environment *)
val is_bot : t -> bool
(* variable management *)
val addvar : t -> id -> bool -> t (* integer or real variable ? *)
val rmvar : t -> id -> t
val vars : t -> (id * bool) list
val forgetvar : t -> id -> t (* remove var from constraints *)
val var_itv : t -> id -> itv
(* set-theoretic operations *)
val join : t -> t -> t (* union *)
val meet : t -> t -> t (* intersection *)
val widen : t -> t -> t
(* order *)
val subset : t -> t -> bool
val eq : t -> t -> bool
(* abstract operation *)
val apply_ncl : t -> num_cons list -> t
val assign : t -> (id * num_expr) list -> t
(* pretty-printing *)
val print_vars : Format.formatter -> t -> id list -> unit
val print_all : Format.formatter -> t -> unit
val print_itv : Format.formatter -> itv -> unit
end
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