+++ /dev/null
-(* Copyright (C) 2004, HELM Team.
- *
- * This file is part of HELM, an Hypertextual, Electronic
- * Library of Mathematics, developed at the Computer Science
- * Department, University of Bologna, Italy.
- *
- * HELM is free software; you can redistribute it and/or
- * modify it under the terms of the GNU General Public License
- * as published by the Free Software Foundation; either version 2
- * of the License, or (at your option) any later version.
- *
- * HELM is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with HELM; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
- * MA 02111-1307, USA.
- *
- * For details, see the HELM World-Wide-Web page,
- * http://helm.cs.unibo.it/
- *)
-
-open Printf
-
-module Ast = CicAst
-
-let symbol_table = Hashtbl.create 1024
-
-let get_types uri =
- let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
- match o with
- | Cic.InductiveDefinition (l,_,_,_) -> l
- | _ -> assert false
-
-let name_of_inductive_type uri i =
- let types = get_types uri in
- let (name, _, _, _) = try List.nth types i with Not_found -> assert false in
- name
-
- (* returns <name, type> pairs *)
-let constructors_of_inductive_type uri i =
- let types = get_types uri in
- let (_, _, _, constructors) =
- try List.nth types i with Not_found -> assert false
- in
- constructors
-
- (* returns name only *)
-let constructor_of_inductive_type uri i j =
- (try
- fst (List.nth (constructors_of_inductive_type uri i) (j-1))
- with Not_found -> assert false)
-
-let ast_of_acic ids_to_inner_sorts acic =
- let ids_to_uris = Hashtbl.create 503 in
- let register_uri id uri = Hashtbl.add ids_to_uris id uri in
- let sort_of_id id =
- try
- Hashtbl.find ids_to_inner_sorts id
- with Not_found -> assert false
- in
- let idref id t = Ast.AttributedTerm (`IdRef id, t) in
- let rec aux =
- function
- | Cic.ARel (id,_,_,b) -> idref id (Ast.Ident (b, None))
- | Cic.AVar (id,uri,subst) ->
- register_uri id (UriManager.string_of_uri uri);
- idref id
- (Ast.Ident (UriManager.name_of_uri uri, astsubst_of_cicsubst subst))
- | Cic.AMeta (id,n,l) -> idref id (Ast.Meta (n, astcontext_of_ciccontext l))
- | Cic.ASort (id,Cic.Prop) -> idref id (Ast.Sort `Prop)
- | Cic.ASort (id,Cic.Set) -> idref id (Ast.Sort `Set)
- | Cic.ASort (id,Cic.Type _) -> idref id (Ast.Sort `Type) (* TASSI *)
- | Cic.ASort (id,Cic.CProp) -> idref id (Ast.Sort `CProp)
- | Cic.AImplicit _ -> assert false
- | Cic.AProd (id,n,s,t) ->
- let binder_kind =
- match sort_of_id id with
- | `Set | `Type | `Meta -> `Pi
- | `Prop | `CProp -> `Forall
- in
- idref id (Ast.Binder (binder_kind, (n, Some (aux s)), aux t))
- | Cic.ACast (id,v,t) -> idref id (Ast.Cast (aux v, aux t))
- | Cic.ALambda (id,n,s,t) ->
- idref id (Ast.Binder (`Lambda, (n, Some (aux s)), aux t))
- | Cic.ALetIn (id,n,s,t) -> idref id (Ast.LetIn ((n, None), aux s, aux t))
- | Cic.AAppl (aid,Cic.AConst (sid,uri,subst)::tl) ->
- let uri_str = UriManager.string_of_uri uri in
- register_uri sid uri_str;
- (try
- let f = Hashtbl.find symbol_table uri_str in
- f aid sid tl aux
- with Not_found ->
- idref aid
- (Ast.Appl (idref sid
- (Ast.Ident (UriManager.name_of_uri uri,
- astsubst_of_cicsubst subst)) :: (List.map aux tl))))
- | Cic.AAppl (aid,Cic.AMutInd (sid,uri,i,subst)::tl) ->
- let name = name_of_inductive_type uri i in
- let uri_str = UriManager.string_of_uri uri in
- let puri_str =
- uri_str ^ "#xpointer(1/" ^ (string_of_int (i + 1)) ^ ")" in
- register_uri sid puri_str;
- (try
- (let f = Hashtbl.find symbol_table puri_str in
- f aid sid tl aux)
- with Not_found ->
- idref aid
- (Ast.Appl (idref sid
- (Ast.Ident (name,
- astsubst_of_cicsubst subst)) :: (List.map aux tl))))
- | Cic.AAppl (id,li) -> idref id (Ast.Appl (List.map aux li))
- | Cic.AConst (id,uri,subst) ->
- let uri_str = UriManager.string_of_uri uri in
- register_uri id uri_str;
- (try
- let f = Hashtbl.find symbol_table uri_str in
- f "dummy" id [] aux
- with Not_found ->
- idref id
- (Ast.Ident
- (UriManager.name_of_uri uri, astsubst_of_cicsubst subst)))
- | Cic.AMutInd (id,uri,i,subst) ->
- let name = name_of_inductive_type uri i in
- let uri_str = UriManager.string_of_uri uri in
- let puri_str =
- uri_str ^ "#xpointer(1/" ^ (string_of_int (i + 1)) ^ ")" in
- register_uri id puri_str;
- (try
- let f = Hashtbl.find symbol_table puri_str in
- f "dummy" id [] aux
- with Not_found ->
- idref id (Ast.Ident (name, astsubst_of_cicsubst subst)))
- | Cic.AMutConstruct (id,uri,i,j,subst) ->
- let name = constructor_of_inductive_type uri i j in
- let uri_str = UriManager.string_of_uri uri in
- let puri_str = sprintf "%s#xpointer(1/%d/%d)" uri_str (i + 1) j in
- register_uri id puri_str;
- (try
- let f = Hashtbl.find symbol_table puri_str in
- f "dummy" id [] aux
- with Not_found ->
- idref id (Ast.Ident (name, astsubst_of_cicsubst subst)))
- | Cic.AMutCase (id,uri,typeno,ty,te,patterns) ->
- let name = name_of_inductive_type uri typeno in
- let constructors = constructors_of_inductive_type uri typeno in
- let rec eat_branch ty pat =
- match (ty, pat) with
- | Cic.Prod (_, _, t), Cic.ALambda (_, name, s, t') ->
- let (cv, rhs) = eat_branch t t' in
- (name, Some (aux s)) :: cv, rhs
- | _, _ -> [], aux pat
- in
- let patterns =
- List.map2
- (fun (name, ty) pat ->
- let (capture_variables, rhs) = eat_branch ty pat in
- ((name, capture_variables), rhs))
- constructors patterns
- in
- idref id (Ast.Case (aux te, Some name, Some (aux ty), patterns))
- | Cic.AFix (id, no, funs) ->
- let defs =
- List.map
- (fun (_, n, decr_idx, ty, bo) ->
- ((Cic.Name n, Some (aux ty)), aux bo, decr_idx))
- funs
- in
- let name =
- try
- (match List.nth defs no with
- | (Cic.Name n, _), _, _ -> n
- | _ -> assert false)
- with Not_found -> assert false
- in
- idref id (Ast.LetRec (`Inductive, defs, Ast.Ident (name, None)))
- | Cic.ACoFix (id, no, funs) ->
- let defs =
- List.map
- (fun (_, n, ty, bo) -> ((Cic.Name n, Some (aux ty)), aux bo, 0))
- funs
- in
- let name =
- try
- (match List.nth defs no with
- | (Cic.Name n, _), _, _ -> n
- | _ -> assert false)
- with Not_found -> assert false
- in
- idref id (Ast.LetRec (`CoInductive, defs, Ast.Ident (name, None)))
-
- and astsubst_of_cicsubst subst =
- Some
- (List.map (fun (uri, annterm) ->
- (UriManager.name_of_uri uri, aux annterm))
- subst)
-
- and astcontext_of_ciccontext context =
- List.map
- (function
- | None -> None
- | Some annterm -> Some (aux annterm))
- context
-
- in
- aux acic, ids_to_uris
-
-let _ = (** fill symbol_table *)
- let add_symbol name uri =
- Hashtbl.add symbol_table uri
- (fun aid sid args acic2ast ->
- Ast.AttributedTerm (`IdRef aid,
- Ast.Appl (Ast.AttributedTerm (`IdRef sid, Ast.Symbol (name, 0)) ::
- List.map acic2ast args)))
- in
- (* eq *)
- Hashtbl.add symbol_table HelmLibraryObjects.Logic.eq_XURI
- (fun aid sid args acic2ast ->
- Ast.AttributedTerm (`IdRef aid,
- Ast.Appl (
- Ast.AttributedTerm (`IdRef sid, Ast.Symbol ("eq", 0)) ::
- List.map acic2ast (List.tl args))));
- (* exists *)
- Hashtbl.add symbol_table HelmLibraryObjects.Logic.ex_XURI
- (fun aid sid args acic2ast ->
- match (List.tl args) with
- [Cic.ALambda (_,Cic.Name n,s,t)] ->
- Ast.AttributedTerm (`IdRef aid,
- Ast.Binder (`Exists, (Cic.Name n, Some (acic2ast s)), acic2ast t))
- | _ -> raise Not_found);
- add_symbol "and" HelmLibraryObjects.Logic.and_XURI;
- add_symbol "or" HelmLibraryObjects.Logic.or_XURI;
- add_symbol "iff" HelmLibraryObjects.Logic.iff_SURI;
- add_symbol "not" HelmLibraryObjects.Logic.not_SURI;
- add_symbol "inv" HelmLibraryObjects.Reals.rinv_SURI;
- add_symbol "opp" HelmLibraryObjects.Reals.ropp_SURI;
- add_symbol "leq" HelmLibraryObjects.Peano.le_XURI;
- add_symbol "leq" HelmLibraryObjects.Reals.rle_SURI;
- add_symbol "lt" HelmLibraryObjects.Peano.lt_SURI;
- add_symbol "lt" HelmLibraryObjects.Reals.rlt_SURI;
- add_symbol "geq" HelmLibraryObjects.Peano.ge_SURI;
- add_symbol "geq" HelmLibraryObjects.Reals.rge_SURI;
- add_symbol "gt" HelmLibraryObjects.Peano.gt_SURI;
- add_symbol "gt" HelmLibraryObjects.Reals.rgt_SURI;
- add_symbol "plus" HelmLibraryObjects.Peano.plus_SURI;
- add_symbol "plus" HelmLibraryObjects.BinInt.zplus_SURI;
- add_symbol "times" HelmLibraryObjects.Peano.mult_SURI;
- add_symbol "times" HelmLibraryObjects.Reals.rmult_SURI;
- add_symbol "minus" HelmLibraryObjects.Peano.minus_SURI;
- add_symbol "minus" HelmLibraryObjects.Reals.rminus_SURI;
- add_symbol "div" HelmLibraryObjects.Reals.rdiv_SURI;
- Hashtbl.add symbol_table HelmLibraryObjects.Reals.r0_SURI
- (fun aid sid args acic2ast ->
- Ast.AttributedTerm (`IdRef sid, Ast.Num ("0", 0)));
- Hashtbl.add symbol_table HelmLibraryObjects.Reals.r1_SURI
- (fun aid sid args acic2ast ->
- Ast.AttributedTerm (`IdRef sid, Ast.Num ("1", 0)));
- (* plus *)
- Hashtbl.add symbol_table HelmLibraryObjects.Reals.rplus_SURI
- (fun aid sid args acic2ast ->
- let appl () =
- Ast.AttributedTerm (`IdRef aid,
- Ast.Appl (
- Ast.AttributedTerm (`IdRef sid, Ast.Symbol ("plus", 0)) ::
- List.map acic2ast args))
- in
- let rec aux acc = function
- | [ Cic.AConst (nid, uri, []); n] when
- UriManager.eq uri HelmLibraryObjects.Reals.r1_URI ->
- (match n with
- | Cic.AConst (_, uri, []) when
- UriManager.eq uri HelmLibraryObjects.Reals.r1_URI ->
- Ast.AttributedTerm (`IdRef aid,
- Ast.Num (string_of_int (acc + 2), 0))
- | Cic.AAppl (_, Cic.AConst (_, uri, []) :: args) when
- UriManager.eq uri HelmLibraryObjects.Reals.rplus_URI ->
- aux (acc + 1) args
- | _ -> appl ())
- | _ -> appl ()
- in
- aux 0 args)
-