https://github.com/EasyCrypt/easycrypt
Tip revision: 3f7727c7e680752ca939d936803d88920fd5a9e8 authored by Pierre-Yves Strub on 23 November 2021, 09:37:12 UTC
easycrypt.opam
easycrypt.opam
Tip revision: 3f7727c
ecTypes.mli
(* --------------------------------------------------------------------
* Copyright (c) - 2012--2016 - IMDEA Software Institute
* Copyright (c) - 2012--2021 - Inria
* Copyright (c) - 2012--2021 - Ecole Polytechnique
*
* Distributed under the terms of the CeCILL-C-V1 license
* -------------------------------------------------------------------- *)
(* -------------------------------------------------------------------- *)
open EcBigInt
open EcMaps
open EcSymbols
open EcUid
open EcIdent
(* -------------------------------------------------------------------- *)
(* FIXME: section: move me *)
type locality = [`Declare | `Local | `Global ]
type is_local = [ `Local | `Global ]
val local_of_locality : locality -> is_local
(* -------------------------------------------------------------------- *)
type ty = private {
ty_node : ty_node;
ty_fv : int Mid.t;
ty_tag : int;
}
and ty_node =
| Tglob of EcPath.mpath (* The tuple of global variable of the module *)
| Tunivar of EcUid.uid
| Tvar of EcIdent.t
| Ttuple of ty list
| Tconstr of EcPath.path * ty list
| Tfun of ty * ty
module Mty : Map.S with type key = ty
module Sty : Set.S with module M = Map.MakeBase(Mty)
module Hty : EcMaps.EHashtbl.S with type key = ty
type dom = ty list
val dump_ty : ty -> string
val ty_equal : ty -> ty -> bool
val ty_hash : ty -> int
val tuni : EcUid.uid -> ty
val tvar : EcIdent.t -> ty
val ttuple : ty list -> ty
val tconstr : EcPath.path -> ty list -> ty
val tfun : ty -> ty -> ty
val tglob : EcPath.mpath -> ty
val tpred : ty -> ty
val ty_fv_and_tvar : ty -> int Mid.t
(* -------------------------------------------------------------------- *)
val tunit : ty
val tbool : ty
val tint : ty
val treal : ty
val tdistr : ty -> ty
val tcpred : ty -> ty
val toarrow : ty list -> ty -> ty
val tytuple_flat : ty -> ty list
val tyfun_flat : ty -> (dom * ty)
(* -------------------------------------------------------------------- *)
val is_tdistr : ty -> bool
val as_tdistr : ty -> ty option
(* -------------------------------------------------------------------- *)
exception FoundUnivar
val ty_check_uni : ty -> unit
(* -------------------------------------------------------------------- *)
type ty_subst = {
ts_p : EcPath.path -> EcPath.path;
ts_mp : EcPath.mpath -> EcPath.mpath;
ts_def : (EcIdent.t list * ty) EcPath.Mp.t;
ts_u : EcUid.uid -> ty option;
ts_v : EcIdent.t -> ty option;
}
val ty_subst_id : ty_subst
val is_ty_subst_id : ty_subst -> bool
val ty_subst : ty_subst -> ty -> ty
module Tuni : sig
val univars : ty -> Suid.t
val offun : (uid -> ty option) -> ty -> ty
val offun_dom : (uid -> ty option) -> dom -> dom
val subst1 : (uid * ty) -> ty -> ty
val subst : ty Muid.t -> ty -> ty
val subst_dom : ty Muid.t -> dom -> dom
val occurs : uid -> ty -> bool
val fv : ty -> Suid.t
end
module Tvar : sig
val subst1 : (EcIdent.t * ty) -> ty -> ty
val subst : ty Mid.t -> ty -> ty
val init : EcIdent.t list -> ty list -> ty Mid.t
val fv : ty -> Sid.t
end
(* -------------------------------------------------------------------- *)
(* [map f t] applies [f] on strict subterms of [t] (not recursive) *)
val ty_map : (ty -> ty) -> ty -> ty
(* [sub_exists f t] true if one of the strict-subterm of [t] valid [f] *)
val ty_sub_exists : (ty -> bool) -> ty -> bool
val ty_fold : ('a -> ty -> 'a) -> 'a -> ty -> 'a
val ty_iter : (ty -> unit) -> ty -> unit
(* -------------------------------------------------------------------- *)
val symbol_of_ty : ty -> string
val fresh_id_of_ty : ty -> EcIdent.t
(* -------------------------------------------------------------------- *)
type lpattern =
| LSymbol of (EcIdent.t * ty)
| LTuple of (EcIdent.t * ty) list
| LRecord of EcPath.path * (EcIdent.t option * ty) list
val lp_equal : lpattern -> lpattern -> bool
val lp_hash : lpattern -> int
val lp_bind : lpattern -> (EcIdent.t * ty) list
val lp_ids : lpattern -> EcIdent.t list
val lp_fv : lpattern -> EcIdent.Sid.t
(* -------------------------------------------------------------------- *)
type pvar_kind =
| PVglob
| PVloc
type prog_var = private {
pv_name : EcPath.xpath;
pv_kind : pvar_kind;
}
val pv_equal : prog_var -> prog_var -> bool
val pv_compare : prog_var -> prog_var -> int
val pv_ntr_compare : prog_var -> prog_var -> int
(* work only if the prog_var has been normalized *)
val pv_compare_p : prog_var -> prog_var -> int
val pv_hash : prog_var -> int
val pv_fv : prog_var -> int EcIdent.Mid.t
val is_loc : prog_var -> bool
val is_glob : prog_var -> bool
val symbol_of_pv : prog_var -> symbol
val string_of_pvar : prog_var -> string
val pv_subst : (EcPath.xpath -> EcPath.xpath) -> prog_var -> prog_var
val pv_loc : EcPath.xpath -> symbol -> prog_var
val pv_glob : EcPath.xpath -> prog_var
val xp_glob : EcPath.xpath -> EcPath.xpath
val pv_res : EcPath.xpath -> prog_var
val pv_arg : EcPath.xpath -> prog_var
val pv : EcPath.xpath -> pvar_kind -> prog_var
(* -------------------------------------------------------------------- *)
type expr = private {
e_node : expr_node;
e_ty : ty;
e_fv : int Mid.t; (* module idents, locals *)
e_tag : int;
}
and expr_node =
| Eint of zint (* int. literal *)
| Elocal of EcIdent.t (* let-variables *)
| Evar of prog_var (* module variable *)
| Eop of EcPath.path * ty list (* op apply to type args *)
| Eapp of expr * expr list (* op. application *)
| Equant of equantif * ebindings * expr (* fun/forall/exists *)
| Elet of lpattern * expr * expr (* let binding *)
| Etuple of expr list (* tuple constructor *)
| Eif of expr * expr * expr (* _ ? _ : _ *)
| Ematch of expr * expr list * ty (* match _ with _ *)
| Eproj of expr * int (* projection of a tuple *)
and equantif = [ `ELambda | `EForall | `EExists ]
and ebinding = EcIdent.t * ty
and ebindings = ebinding list
type closure = (EcIdent.t * ty) list * expr
(* -------------------------------------------------------------------- *)
val qt_equal : equantif -> equantif -> bool
(* -------------------------------------------------------------------- *)
val e_equal : expr -> expr -> bool
val e_compare : expr -> expr -> int
val e_hash : expr -> int
val e_fv : expr -> int EcIdent.Mid.t
val e_ty : expr -> ty
(* -------------------------------------------------------------------- *)
val e_tt : expr
val e_int : zint -> expr
val e_decimal : zint * (int * zint) -> expr
val e_local : EcIdent.t -> ty -> expr
val e_var : prog_var -> ty -> expr
val e_op : EcPath.path -> ty list -> ty -> expr
val e_app : expr -> expr list -> ty -> expr
val e_let : lpattern -> expr -> expr -> expr
val e_tuple : expr list -> expr
val e_if : expr -> expr -> expr -> expr
val e_match : expr -> expr list -> ty -> expr
val e_lam : (EcIdent.t * ty) list -> expr -> expr
val e_quantif : equantif -> ebindings -> expr -> expr
val e_forall : ebindings -> expr -> expr
val e_exists : ebindings -> expr -> expr
val e_proj : expr -> int -> ty -> expr
val e_proj_simpl : expr -> int -> ty -> expr
(* -------------------------------------------------------------------- *)
val is_local : expr -> bool
val is_var : expr -> bool
val is_tuple_var : expr -> bool
val destr_local : expr -> EcIdent.t
val destr_var : expr -> prog_var
val destr_tuple_var : expr -> prog_var list
(* -------------------------------------------------------------------- *)
val split_args : expr -> expr * expr list
(* -------------------------------------------------------------------- *)
val e_map :
(ty -> ty ) (* 1-subtype op. *)
-> (expr -> expr) (* 1-subexpr op. *)
-> expr
-> expr
val e_fold :
('state -> expr -> 'state) -> 'state -> expr -> 'state
(* -------------------------------------------------------------------- *)
type e_subst = {
es_freshen : bool; (* true means realloc local *)
es_p : EcPath.path -> EcPath.path;
es_ty : ty -> ty;
es_opdef : (EcIdent.t list * expr) EcPath.Mp.t;
es_mp : EcPath.mpath -> EcPath.mpath;
es_xp : EcPath.xpath -> EcPath.xpath;
es_loc : expr Mid.t;
}
val e_subst_id : e_subst
val is_e_subst_id : e_subst -> bool
val e_subst_init :
bool
-> (EcPath.path -> EcPath.path)
-> (ty -> ty)
-> (EcIdent.t list * expr) EcPath.Mp.t
-> EcPath.mpath EcIdent.Mid.t
-> expr Mid.t
-> e_subst
val add_local : e_subst -> EcIdent.t * ty -> e_subst * (EcIdent.t * ty)
val add_locals : e_subst -> (EcIdent.t * ty) list -> e_subst * (EcIdent.t * ty) list
val e_subst_closure : e_subst -> closure -> closure
val e_subst : e_subst -> expr -> expr
val e_mapty : (ty -> ty) -> expr -> expr
val e_uni : (uid -> ty option) -> expr -> expr