Quellcode-Bibliothek

^© Kompilation durch diese Firma

[Weder Korrektheit noch Funktionsfähigkeit der Software werden zugesichert.]

Datei: doc.tex Sprache: SML

Original von: Coq^©

(************************************************************************)
(*         *   The Coq Proof Assistant / The Coq Development Team       *)
(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
(* <O___,, *       (see CREDITS file for the list of authors)           *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
(************************************************************************)

(*i*)
open Util
open Constr
open Names
open Globnames
open Mod_subst
open Pp (* debug *)
(*i*)

(* Representation/approximation of terms to use in the dnet:
*
* - no meta or evar (use ['a pattern] for that)
*
* - [Rel]s and [Sort]s are not taken into account (that's why we need
*   a second pass of linear filterin on the results - it's not a perfect
*   term indexing structure)

* - Foralls and LetIns are represented by a context DCtx (a list of
*   generalization, similar to rel_context, and coded with DCons and
*   DNil). This allows for matching under an unfinished context
*)

module DTerm =
struct

  type 't t =
    | DRel
    | DSort
    | DRef    of GlobRef.t
    | DCtx    of 't * 't (* (binding list, subterm) = Prods and LetIns *)
    | DLambda of 't * 't
    | DApp    of 't * 't (* binary app *)
    | DCase   of case_info * 't * 't * 't array
    | DFix    of int array * int * 't array * 't array
    | DCoFix  of int * 't array * 't array
    | DInt    of Uint63.t

    (* special constructors only inside the left-hand side of DCtx or
       DApp. Used to encode lists of foralls/letins/apps as contexts *)
    | DCons   of ('t * 't option) * 't
    | DNil

  (* debug *)
  let _pr_dconstr f : 'a t -> Pp.t = function
    | DRel -> str "*"
    | DSort -> str "Sort"
    | DRef _ -> str "Ref"
    | DCtx (ctx,t) -> f ctx ++ spc() ++ str "|-" ++ spc () ++ f t
    | DLambda (t1,t2) -> str "fun"++ spc() ++ f t1 ++ spc() ++ str"->" ++ spc() ++ f t2
    | DApp (t1,t2) -> f t1 ++ spc() ++ f t2
    | DCase (_,t1,t2,ta) -> str "case"
    | DFix _ -> str "fix"
    | DCoFix _ -> str "cofix"
    | DInt _ -> str "INT"
    | DCons ((t,dopt),tl) -> f t ++ (match dopt with
   Some t' -> str ":=" ++ f t'
| None -> str "") ++ spc() ++ str "::" ++ spc() ++ f tl
    | DNil -> str "[]"

  (*
   * Functional iterators for the t datatype
   * a.k.a boring and error-prone boilerplate code
   *)

  let map f = function
    | (DRel | DSort | DNil | DRef _ | DInt _) as c -> c
    | DCtx (ctx,c) -> DCtx (f ctx, f c)
    | DLambda (t,c) -> DLambda (f t, f c)
    | DApp (t,u) -> DApp (f t,f u)
    | DCase (ci,p,c,bl) -> DCase (ci, f p, f c, Array.map f bl)
    | DFix (ia,i,ta,ca) ->
DFix (ia,i,Array.map f ta,Array.map f ca)
    | DCoFix(i,ta,ca) ->
DCoFix (i,Array.map f ta,Array.map f ca)
    | DCons ((t,topt),u) -> DCons ((f t,Option.map f topt), f u)

  let compare_ci ci1 ci2 =
    let c = ind_ord ci1.ci_ind ci2.ci_ind in
    if c = 0 then
      let c = Int.compare ci1.ci_npar ci2.ci_npar in
      if c = 0 then
        let c = Array.compare Int.compare ci1.ci_cstr_ndecls ci2.ci_cstr_ndecls in
        if c = 0 then
          Array.compare Int.compare ci1.ci_cstr_nargs ci2.ci_cstr_nargs
        else c
      else c
    else c

  let compare cmp t1 t2 = match t1, t2 with
  | DRel, DRel -> 0
  | DRel, _ -> -1 | _, DRel -> 1
  | DSort, DSort -> 0
  | DSort, _ -> -1 | _, DSort -> 1
  | DRef gr1, DRef gr2 -> GlobRef.Ordered.compare gr1 gr2
  | DRef _, _ -> -1 | _, DRef _ -> 1

  | DCtx (tl1, tr1), DCtx (tl2, tr2)
  | DLambda (tl1, tr1), DLambda (tl2, tr2)
  | DApp (tl1, tr1), DApp (tl2, tr2) ->
    let c = cmp tl1 tl2 in
    if c = 0 then cmp tr1 tr2 else c
  | DCtx _, _ -> -1 | _, DCtx _ -> 1
  | DLambda _, _ -> -1 | _, DLambda _ -> 1
  | DApp _, _ -> -1 | _, DApp _ -> 1

  | DCase (ci1, c1, t1, p1), DCase (ci2, c2, t2, p2) ->
    let c = cmp c1 c2 in
    if c = 0 then
      let c = cmp t1 t2 in
      if c = 0 then
        let c = Array.compare cmp p1 p2 in
        if c = 0 then compare_ci ci1 ci2
        else c
      else c
    else c
  | DCase _, _ -> -1 | _, DCase _ -> 1

  | DFix (i1, j1, tl1, pl1), DFix (i2, j2, tl2, pl2) ->
    let c = Int.compare j1 j2 in
    if c = 0 then
      let c = Array.compare Int.compare i1 i2 in
      if c = 0 then
        let c = Array.compare cmp tl1 tl2 in
        if c = 0 then Array.compare cmp pl1 pl2
        else c
      else c
    else c
  | DFix _, _ -> -1 | _, DFix _ -> 1

  | DCoFix (i1, tl1, pl1), DCoFix (i2, tl2, pl2) ->
    let c = Int.compare i1 i2 in
    if c = 0 then
      let c = Array.compare cmp tl1 tl2 in
      if c = 0 then Array.compare cmp pl1 pl2
      else c
    else c
  | DCoFix _, _ -> -1 | _, DCoFix _ -> 1

  | DInt i1, DInt i2 -> Uint63.compare i1 i2

  | DInt _, _ -> -1 | _, DInt _ -> 1

  | DCons ((t1, ot1), u1), DCons ((t2, ot2), u2) ->
     let c = cmp t1 t2 in
     if Int.equal c 0 then
       let c = Option.compare cmp ot1 ot2 in
       if Int.equal c 0 then cmp u1 u2
       else c
     else c
  | DCons _, _ -> -1 | _, DCons _ -> 1

  | DNil, DNil -> 0

  let fold f acc = function
    | (DRel | DNil | DSort | DRef _ | DInt _) -> acc
    | DCtx (ctx,c) -> f (f acc ctx) c
    | DLambda (t,c) -> f (f acc t) c
    | DApp (t,u) -> f (f acc t) u
    | DCase (ci,p,c,bl) -> Array.fold_left f (f (f acc p) c) bl
    | DFix (ia,i,ta,ca) ->
Array.fold_left f (Array.fold_left f acc ta) ca
    | DCoFix(i,ta,ca) ->
Array.fold_left f (Array.fold_left f acc ta) ca
    | DCons ((t,topt),u) -> f (Option.fold_left f (f acc t) topt) u

  let choose f = function
    | (DRel | DSort | DNil | DRef _ | DInt _) -> invalid_arg "choose"
    | DCtx (ctx,c) -> f ctx
    | DLambda (t,c) -> f t
    | DApp (t,u) -> f u
    | DCase (ci,p,c,bl) -> f c
    | DFix (ia,i,ta,ca) -> f ta.(0)
    | DCoFix (i,ta,ca) -> f ta.(0)
    | DCons ((t,topt),u) -> f u

  let dummy_cmp () () = 0

  let fold2 (f:'a -> 'b -> 'c -> 'a) (acc:'a) (c1:'b t) (c2:'c t) : 'a =
    let head w = map (fun _ -> ()) w in
    if not (Int.equal (compare dummy_cmp (head c1) (head c2)) 0)
    then invalid_arg "fold2:compare" else
      match c1,c2 with
        | (DRel, DRel | DNil, DNil | DSort, DSort | DRef _, DRef _
           | DInt _, DInt _) -> acc
| (DCtx (c1,t1), DCtx (c2,t2)
   | DApp (c1,t1), DApp (c2,t2)
   | DLambda (c1,t1), DLambda (c2,t2)) -> f (f acc c1 c2) t1 t2
| DCase (ci,p1,c1,bl1),DCase (_,p2,c2,bl2) ->
     Array.fold_left2 f (f (f acc p1 p2) c1 c2) bl1 bl2
| DFix (ia,i,ta1,ca1), DFix (_,_,ta2,ca2) ->
     Array.fold_left2 f (Array.fold_left2 f acc ta1 ta2) ca1 ca2
| DCoFix(i,ta1,ca1), DCoFix(_,ta2,ca2) ->
     Array.fold_left2 f (Array.fold_left2 f acc ta1 ta2) ca1 ca2
| DCons ((t1,topt1),u1), DCons ((t2,topt2),u2) ->
     f (Option.fold_left2 f (f acc t1 t2) topt1 topt2) u1 u2
        | (DRel | DNil | DSort | DRef _ | DCtx _ | DApp _ | DLambda _ | DCase _
           | DFix _ | DCoFix _ | DCons _ | DInt _), _ -> assert false

  let map2 (f:'a -> 'b -> 'c) (c1:'a t) (c2:'b t) : 'c t =
    let head w = map (fun _ -> ()) w in
    if not (Int.equal (compare dummy_cmp (head c1) (head c2)) 0)
    then invalid_arg "map2_t:compare" else
      match c1,c2 with
        | (DRel, DRel | DSort, DSort | DNil, DNil | DRef _, DRef _
           | DInt _, DInt _) as cc ->
     let (c,_) = cc in c
| DCtx (c1,t1), DCtx (c2,t2) -> DCtx (f c1 c2, f t1 t2)
| DLambda (t1,c1), DLambda (t2,c2) -> DLambda (f t1 t2, f c1 c2)
| DApp (t1,u1), DApp (t2,u2) -> DApp (f t1 t2,f u1 u2)
| DCase (ci,p1,c1,bl1), DCase (_,p2,c2,bl2) ->
     DCase (ci, f p1 p2, f c1 c2, Array.map2 f bl1 bl2)
| DFix (ia,i,ta1,ca1), DFix (_,_,ta2,ca2) ->
     DFix (ia,i,Array.map2 f ta1 ta2,Array.map2 f ca1 ca2)
| DCoFix (i,ta1,ca1), DCoFix (_,ta2,ca2) ->
     DCoFix (i,Array.map2 f ta1 ta2,Array.map2 f ca1 ca2)
| DCons ((t1,topt1),u1), DCons ((t2,topt2),u2) ->
     DCons ((f t1 t2,Option.lift2 f topt1 topt2), f u1 u2)
        | (DRel | DNil | DSort | DRef _ | DCtx _ | DApp _ | DLambda _ | DCase _
           | DFix _ | DCoFix _ | DCons _ | DInt _), _ -> assert false

  let terminal = function
    | (DRel | DSort | DNil | DRef _ | DInt _) -> true
    | DLambda _ | DApp _ | DCase _ | DFix _ | DCoFix _ | DCtx _ | DCons _ ->
      false

  let compare t1 t2 = compare dummy_cmp t1 t2

end

(*
* Terms discrimination nets
* Uses the general dnet datatype on DTerm.t
* (here you can restart reading)
*)

(*
* Construction of the module
*)

module type IDENT =
sig
  type t
  val compare : t -> t -> int
  val subst : substitution -> t -> t
  val constr_of : t -> constr
end

module type OPT =
sig
  val reduce : constr -> constr
  val direction : bool
end

module Make =
  functor (Ident : IDENT) ->
  functor (Opt : OPT) ->
struct

  module TDnet : Dnet.S with type ident=Ident.t
   and  type 'a structure = 'a DTerm.t
   and  type meta = int
    = Dnet.Make(DTerm)(Ident)(Int)

  type t = TDnet.t

  type ident = TDnet.ident

  (** We will freshen metas on the fly, to cope with the implementation defect
      of Term_dnet which requires metas to be all distinct. *)
  let fresh_meta =
    let index = ref 0 in
    fun () ->
      let ans = !index in
      let () = index := succ ans in
      ans

  open DTerm
  open TDnet

  let pat_of_constr c : term_pattern =
    (* To each evar we associate a unique identifier. *)
    let metas = ref Evar.Map.empty in
    let rec pat_of_constr c = match Constr.kind c with
    | Rel _          -> Term DRel
    | Sort _         -> Term DSort
    | Var i          -> Term (DRef (VarRef i))
    | Const (c,u)    -> Term (DRef (ConstRef c))
    | Ind (i,u)      -> Term (DRef (IndRef i))
    | Construct (c,u)-> Term (DRef (ConstructRef c))
    | Meta _         -> assert false
    | Evar (i,_)     ->
      let meta =
        try Evar.Map.find i !metas
        with Not_found ->
          let meta = fresh_meta () in
          let () = metas := Evar.Map.add i meta !metas in
          meta
      in
      Meta meta
    | Case (ci,c1,c2,ca)     ->
      Term(DCase(ci,pat_of_constr c1,pat_of_constr c2,Array.map pat_of_constr ca))
    | Fix ((ia,i),(_,ta,ca)) ->
      Term(DFix(ia,i,Array.map pat_of_constr ta, Array.map pat_of_constr ca))
    | CoFix (i,(_,ta,ca))    ->
      Term(DCoFix(i,Array.map pat_of_constr ta,Array.map pat_of_constr ca))
    | Cast (c,_,_)   -> pat_of_constr c
    | Lambda (_,t,c) -> Term(DLambda (pat_of_constr t, pat_of_constr c))
    | (Prod _ | LetIn _)   ->
      let (ctx,c) = ctx_of_constr (Term DNil) c in Term (DCtx (ctx,c))
    | App (f,ca)     ->
      Array.fold_left (fun c a -> Term (DApp (c,a)))
        (pat_of_constr f) (Array.map pat_of_constr ca)
    | Proj (p,c) ->
        Term (DApp (Term (DRef (ConstRef (Projection.constant p))), pat_of_constr c))
    | Int i -> Term (DInt i)

    and ctx_of_constr ctx c = match Constr.kind c with
    | Prod (_,t,c)   -> ctx_of_constr (Term(DCons((pat_of_constr t,None),ctx))) c
    | LetIn(_,d,t,c) -> ctx_of_constr (Term(DCons((pat_of_constr t, Some (pat_of_constr d)),ctx))) c
    | _ -> ctx,pat_of_constr c
    in
    pat_of_constr c

  let empty_ctx : term_pattern -> term_pattern = function
    | Meta _ as c -> c
    | Term (DCtx(_,_)) as c -> c
    | c -> Term (DCtx (Term DNil, c))

  (*
   * Basic primitives
   *)

  let empty = TDnet.empty

  let subst s t =
    let sleaf id = Ident.subst s id in
    let snode = function
      | DTerm.DRef gr -> DTerm.DRef (fst (subst_global s gr))
      | n -> n in
    TDnet.map sleaf snode t

  let union = TDnet.union

  let add (c:constr) (id:Ident.t) (dn:t) =
    let c = Opt.reduce c in
    let c = empty_ctx (pat_of_constr c) in
    TDnet.add dn c id

  let new_meta () = Meta (fresh_meta ())

  let rec remove_cap : term_pattern -> term_pattern = function
    | Term (DCons (t,u)) -> Term (DCons (t,remove_cap u))
    | Term DNil -> new_meta()
    | Meta _ as m -> m
    | _ -> assert false

  let under_prod : term_pattern -> term_pattern = function
    | Term (DCtx (t,u)) -> Term (DCtx (remove_cap t,u))
    | Meta m -> Term (DCtx(new_meta(), Meta m))
    | _ -> assert false

  (* debug *)
(*  let rec pr_term_pattern p =
    (fun pr_t -> function
       | Term t -> pr_t t
       | Meta m -> str"["++Pp.int (Obj.magic m)++str"]"
    ) (pr_dconstr pr_term_pattern) p*)

  let search_pat cpat dpat dn =
    let whole_c = EConstr.of_constr cpat in
    (* if we are at the root, add an empty context *)
    let dpat = under_prod (empty_ctx dpat) in
    TDnet.Idset.fold
      (fun id acc ->
  let c_id = Opt.reduce (Ident.constr_of id) in
  let c_id = EConstr.of_constr c_id in
  let (ctx,wc) =
           try Termops.align_prod_letin Evd.empty whole_c c_id (* FIXME *)
    with Invalid_argument _ -> [],c_id in
  let wc,whole_c = if Opt.direction then whole_c,wc else wc,whole_c in
  try
          let _ = Termops.filtering Evd.empty ctx Reduction.CUMUL wc whole_c in
          id :: acc
  with Termops.CannotFilter -> (* msgnl(str"recon "++Termops.print_constr_env (Global.env()) wc); *) acc
      ) (TDnet.find_match dpat dn) []

  (*
   * High-level primitives describing specific search problems
   *)

  let search_pattern dn pat =
    let pat = Opt.reduce pat in
    search_pat pat (empty_ctx (pat_of_constr pat)) dn

  let find_all dn = Idset.elements (TDnet.find_all dn)

  let map f dn = TDnet.map f (fun x -> x) dn

  let refresh_metas dn =
    let new_metas = ref Int.Map.empty in
    let refresh_one_meta i =
      try Int.Map.find i !new_metas
      with Not_found ->
        let new_meta = fresh_meta () in
        let () = new_metas := Int.Map.add i new_meta !new_metas in
        new_meta
    in
    TDnet.map_metas refresh_one_meta dn
end

module type S =
sig
  type t
  type ident

  val empty : t
  val add : constr -> ident -> t -> t
  val union : t -> t -> t
  val subst : substitution -> t -> t
  val search_pattern : t -> constr -> ident list
  val find_all : t -> ident list
  val map : (ident -> ident) -> t -> t
  val refresh_metas : t -> t
end

¤ Dauer der Verarbeitung: 0.34 Sekunden (vorverarbeitet) ¤

Druckansicht unsichere Verbindung
Druckansicht sprechenden Kalenders
in der Quellcodebibliothek suchen

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.