(* ||M|| This file is part of HELM, an Hypertextual, Electronic ||A|| Library of Mathematics, developed at the Computer Science ||T|| Department, University of Bologna, Italy. ||I|| ||T|| HELM is free software; you can redistribute it and/or ||A|| modify it under the terms of the GNU General Public License \ / version 2 or (at your option) any later version. \ / This software is distributed as is, NO WARRANTY. V_______________________________________________________________ *) (* $Id: nCic.ml 9058 2008-10-13 17:42:30Z tassi $ *) open Printf open DisambiguateTypes open UriManager module Ast = CicNotationPt module NRef = NReference let debug_print _ = ();; (* let debug_print s = prerr_endline (Lazy.force s);; *) let cic_name_of_name = function | Ast.Ident (n, None) -> n | _ -> assert false ;; let refine_term metasenv subst context uri ~coercion_db ~use_coercions term _ ~localization_tbl= assert (uri=None); debug_print (lazy (sprintf "TEST_INTERPRETATION: %s" (NCicPp.ppterm ~metasenv ~subst ~context term))); try let localise t = try NCicUntrusted.NCicHash.find localization_tbl t with Not_found -> prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context t); assert false in let metasenv, subst, term, _ = NCicRefiner.typeof ~look_for_coercion:( if use_coercions then NCicCoercion.look_for_coercion coercion_db else (fun _ _ _ _ _ -> [])) metasenv subst context term None ~localise in Disambiguate.Ok (term, metasenv, subst, ()) with | NCicRefiner.Uncertain loc_msg -> debug_print (lazy ("UNCERTAIN: [" ^ snd (Lazy.force loc_msg) ^ "] " ^ NCicPp.ppterm ~metasenv ~subst ~context term)) ; Disambiguate.Uncertain loc_msg | NCicRefiner.RefineFailure loc_msg -> debug_print (lazy (sprintf "PRUNED:\nterm%s\nmessage:%s" (NCicPp.ppterm ~metasenv ~subst ~context term) (snd(Lazy.force loc_msg)))); Disambiguate.Ko loc_msg ;; (* TODO move it to Cic *) let find_in_context name context = let rec aux acc = function | [] -> raise Not_found | hd :: _ when hd = name -> acc | _ :: tl -> aux (acc + 1) tl in aux 1 context let interpretate_term ?(create_dummy_ids=false) ~mk_choice ~context ~env ~uri ~is_path ast ~localization_tbl = (* create_dummy_ids shouldbe used only for interpretating patterns *) assert (uri = None); let rec aux ~localize loc context = function t -> let res = match t with | CicNotationPt.AttributedTerm (`Loc loc, term) -> let res = aux ~localize loc context term in if localize then NCicUntrusted.NCicHash.add localization_tbl res loc; res | CicNotationPt.AttributedTerm (_, term) -> aux ~localize loc context term | CicNotationPt.Appl (CicNotationPt.Symbol (symb, i) :: args) -> let cic_args = List.map (aux ~localize loc context) args in Disambiguate.resolve ~mk_choice ~env (Symbol (symb, i)) (`Args cic_args) | CicNotationPt.Appl terms -> NCic.Appl (List.map (aux ~localize loc context) terms) | CicNotationPt.Binder (binder_kind, (var, typ), body) -> let cic_type = aux_option ~localize loc context `Type typ in let cic_name = cic_name_of_name var in let cic_body = aux ~localize loc (cic_name :: context) body in (match binder_kind with | `Lambda -> NCic.Lambda (cic_name, cic_type, cic_body) | `Pi | `Forall -> NCic.Prod (cic_name, cic_type, cic_body) | `Exists -> Disambiguate.resolve ~env ~mk_choice (Symbol ("exists", 0)) (`Args [ cic_type; NCic.Lambda (cic_name, cic_type, cic_body) ])) | CicNotationPt.Case (term, indty_ident, outtype, branches) -> let cic_term = aux ~localize loc context term in let cic_outtype = aux_option ~localize loc context `Term outtype in let do_branch ((_, _, args), term) = let rec do_branch' context = function | [] -> aux ~localize loc context term | (name, typ) :: tl -> let cic_name = cic_name_of_name name in let cic_body = do_branch' (cic_name :: context) tl in let typ = match typ with | None -> NCic.Implicit `Type | Some typ -> aux ~localize loc context typ in NCic.Lambda (cic_name, typ, cic_body) in do_branch' context args in if create_dummy_ids then let branches = List.map (function Ast.Wildcard,term -> ("wildcard",None,[]), term | Ast.Pattern _,_ -> raise (DisambiguateTypes.Invalid_choice (lazy (loc, "Syntax error: the left hand side of a "^ "branch pattern must be \"_\""))) ) branches in (* NCic.MutCase (ref, cic_outtype, cic_term, (List.map do_branch branches)) *) ignore branches; assert false (* patterns not implemented yet *) else let indtype_ref = match indty_ident with | Some (indty_ident, _) -> (match Disambiguate.resolve ~env ~mk_choice (Id indty_ident) (`Args []) with | NCic.Const (NReference.Ref (_,NReference.Ind _) as r) -> r | NCic.Implicit _ -> raise (Disambiguate.Try_again (lazy "The type of the term to be matched is still unknown")) | t -> raise (DisambiguateTypes.Invalid_choice (lazy (loc,"The type of the term to be matched "^ "is not (co)inductive: " ^ NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] t)))) | None -> let rec fst_constructor = function (Ast.Pattern (head, _, _), _) :: _ -> head | (Ast.Wildcard, _) :: tl -> fst_constructor tl | [] -> raise (Invalid_choice (lazy (loc,"The type "^ "of the term to be matched cannot be determined "^ "because it is an inductive type without constructors "^ "or because all patterns use wildcards"))) in (* DisambiguateTypes.Environment.iter (fun k v -> prerr_endline (DisambiguateTypes.string_of_domain_item k ^ " => " ^ description_of_alias v)) env; *) (match Disambiguate.resolve ~env ~mk_choice (Id (fst_constructor branches)) (`Args []) with | NCic.Const (NReference.Ref (_,NReference.Con _) as r) -> let b,_,_,_,_ = NCicEnvironment.get_checked_indtys r in NReference.mk_indty b r | NCic.Implicit _ -> raise (Disambiguate.Try_again (lazy "The type of the term to be matched is still unknown")) | t -> raise (DisambiguateTypes.Invalid_choice (lazy (loc, "The type of the term to be matched is not (co)inductive: " ^ NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] t)))) in let _,leftsno,itl,_,indtyp_no = NCicEnvironment.get_checked_indtys indtype_ref in let _,_,_,cl = try List.nth itl indtyp_no with _ -> assert false in let rec count_prod t = match NCicReduction.whd [] t with NCic.Prod (_, _, t) -> 1 + (count_prod t) | _ -> 0 in let rec sort branches cl = match cl with [] -> let rec analyze unused unrecognized useless = function [] -> if unrecognized != [] then raise (DisambiguateTypes.Invalid_choice (lazy (loc,"Unrecognized constructors: " ^ String.concat " " unrecognized))) else if useless > 0 then raise (DisambiguateTypes.Invalid_choice (lazy (loc,"The last " ^ string_of_int useless ^ "case" ^ if useless > 1 then "s are" else " is" ^ " unused"))) else [] | (Ast.Wildcard,_)::tl when not unused -> analyze true unrecognized useless tl | (Ast.Pattern (head,_,_),_)::tl when not unused -> analyze unused (head::unrecognized) useless tl | _::tl -> analyze unused unrecognized (useless + 1) tl in analyze false [] 0 branches | (_,name,ty)::cltl -> let rec find_and_remove = function [] -> raise (DisambiguateTypes.Invalid_choice (lazy (loc, "Missing case: " ^ name))) | ((Ast.Wildcard, _) as branch :: _) as branches -> branch, branches | (Ast.Pattern (name',_,_),_) as branch :: tl when name = name' -> branch,tl | branch::tl -> let found,rest = find_and_remove tl in found, branch::rest in let branch,tl = find_and_remove branches in match branch with Ast.Pattern (name,y,args),term -> if List.length args = count_prod ty - leftsno then ((name,y,args),term)::sort tl cltl else raise (DisambiguateTypes.Invalid_choice (lazy (loc,"Wrong number of arguments for " ^ name))) | Ast.Wildcard,term -> let rec mk_lambdas = function 0 -> term | n -> CicNotationPt.Binder (`Lambda, (CicNotationPt.Ident ("_", None), None), mk_lambdas (n - 1)) in (("wildcard",None,[]), mk_lambdas (count_prod ty - leftsno)) :: sort tl cltl in let branches = sort branches cl in NCic.Match (indtype_ref, cic_outtype, cic_term, (List.map do_branch branches)) | CicNotationPt.Cast (t1, t2) -> let cic_t1 = aux ~localize loc context t1 in let cic_t2 = aux ~localize loc context t2 in NCic.LetIn ("_",cic_t2,cic_t1, NCic.Rel 1) | CicNotationPt.LetIn ((name, typ), def, body) -> let cic_def = aux ~localize loc context def in let cic_name = cic_name_of_name name in let cic_typ = match typ with | None -> NCic.Implicit `Type | Some t -> aux ~localize loc context t in let cic_body = aux ~localize loc (cic_name :: context) body in NCic.LetIn (cic_name, cic_typ, cic_def, cic_body) | CicNotationPt.LetRec (_kind, _defs, _body) -> assert false (* let context' = List.fold_left (fun acc (_, (name, _), _, _) -> cic_name_of_name name :: acc) context defs in let cic_body = let unlocalized_body = aux ~localize:false loc context' body in match unlocalized_body with NCic.Rel n when n <= List.length defs -> `AvoidLetInNoAppl n | NCic.Appl (NCic.Rel n::l) when n <= List.length defs -> (try let l' = List.map (function t -> let t',subst,metasenv = CicMetaSubst.delift_rels [] [] (List.length defs) t in assert (subst=[]); assert (metasenv=[]); t') l in (* We can avoid the LetIn. But maybe we need to recompute l' so that it is localized *) if localize then match body with CicNotationPt.AttributedTerm (_,CicNotationPt.Appl(_::l)) -> (* since we avoid the letin, the context has no * recfuns in it *) let l' = List.map (aux ~localize loc context) l in `AvoidLetIn (n,l') | _ -> assert false else `AvoidLetIn (n,l') with CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable -> if localize then `AddLetIn (aux ~localize loc context' body) else `AddLetIn unlocalized_body) | _ -> if localize then `AddLetIn (aux ~localize loc context' body) else `AddLetIn unlocalized_body in let inductiveFuns = List.map (fun (params, (name, typ), body, decr_idx) -> let add_binders kind t = List.fold_right (fun var t -> CicNotationPt.Binder (kind, var, t)) params t in let cic_body = aux ~localize loc context' (add_binders `Lambda body) in let cic_type = aux_option ~localize loc context (Some `Type) (HExtlib.map_option (add_binders `Pi) typ) in let name = match cic_name_of_name name with | NCic.Anonymous -> CicNotationPt.fail loc "Recursive functions cannot be anonymous" | NCic.Name name -> name in (name, decr_idx, cic_type, cic_body)) defs in let fix_or_cofix n = match kind with `Inductive -> NCic.Fix (n,inductiveFuns) | `CoInductive -> let coinductiveFuns = List.map (fun (name, _, typ, body) -> name, typ, body) inductiveFuns in NCic.CoFix (n,coinductiveFuns) in let counter = ref ~-1 in let build_term _ (var,_,ty,_) t = incr counter; NCic.LetIn (NCic.Name var, fix_or_cofix !counter, ty, t) in (match cic_body with `AvoidLetInNoAppl n -> let n' = List.length inductiveFuns - n in fix_or_cofix n' | `AvoidLetIn (n,l) -> let n' = List.length inductiveFuns - n in NCic.Appl (fix_or_cofix n'::l) | `AddLetIn cic_body -> List.fold_right (build_term inductiveFuns) inductiveFuns cic_body) *) | CicNotationPt.Ident _ | CicNotationPt.Uri _ when is_path -> raise Disambiguate.PathNotWellFormed | CicNotationPt.Ident (name, subst) -> assert (subst = None); (try NCic.Rel (find_in_context name context) with Not_found -> Disambiguate.resolve ~env ~mk_choice (Id name) (`Args [])) | CicNotationPt.Uri (name, subst) -> assert (subst = None); (try NCic.Const (NRef.reference_of_string name) with NRef.IllFormedReference _ -> CicNotationPt.fail loc "Ill formed reference") | CicNotationPt.Implicit -> NCic.Implicit `Term | CicNotationPt.UserInput -> assert false (*NCic.Implicit (Some `Hole) patterns not implemented *) | CicNotationPt.Num (num, i) -> Disambiguate.resolve ~env ~mk_choice (Num i) (`Num_arg num) | CicNotationPt.Meta (index, subst) -> let cic_subst = List.map (function None -> assert false| Some t -> aux ~localize loc context t) subst in NCic.Meta (index, (0, NCic.Ctx cic_subst)) | CicNotationPt.Sort `Prop -> NCic.Sort NCic.Prop | CicNotationPt.Sort `Set -> NCic.Sort (NCic.Type [false,NUri.uri_of_string "cic:/matita/pts/Type.univ"]) | CicNotationPt.Sort (`Type _u) -> NCic.Sort (NCic.Type [false,NUri.uri_of_string "cic:/matita/pts/Type.univ"]) | CicNotationPt.Sort (`CProp _u) -> NCic.Sort (NCic.Type [false,NUri.uri_of_string "cic:/matita/pts/CProp.univ"]) | CicNotationPt.Symbol (symbol, instance) -> Disambiguate.resolve ~env ~mk_choice (Symbol (symbol, instance)) (`Args []) | _ -> assert false (* god bless Bologna *) in (* prerr_endline (NCicPp.ppterm ~metasenv:[] ~context:[] ~subst:[] res); *) res and aux_option ~localize loc context annotation = function | None -> NCic.Implicit annotation | Some (CicNotationPt.AttributedTerm (`Loc loc, term)) -> let res = aux_option ~localize loc context annotation (Some term) in if localize then NCicUntrusted.NCicHash.add localization_tbl res loc; res | Some (CicNotationPt.AttributedTerm (_, term)) -> aux_option ~localize loc context annotation (Some term) | Some CicNotationPt.Implicit -> NCic.Implicit annotation | Some term -> aux ~localize loc context term in aux ~localize:true HExtlib.dummy_floc context ast let interpretate_term ?(create_dummy_ids=false) ~context ~env ~uri ~is_path ast ~localization_tbl = let context = List.map fst context in interpretate_term ~create_dummy_ids ~context ~env ~uri ~is_path ast ~localization_tbl ;; let domain_of_term ~context = Disambiguate.domain_of_ast_term ~context ;; let disambiguate_term ~context ~metasenv ~subst ?goal ~mk_implicit ~description_of_alias ~mk_choice ~aliases ~universe ~coercion_db ~lookup_in_library (text,prefix_len,term) = let mk_localization_tbl x = NCicUntrusted.NCicHash.create x in let hint = match goal with None -> (fun _ y -> y),(fun x -> x) | Some n -> (fun metasenv y -> let _,_,ty = NCicUtils.lookup_meta n metasenv in NCic.LetIn ("_",ty,y,NCic.Rel 1)), (function | Disambiguate.Ok (t,m,s,ug) -> (match t with | NCic.LetIn ("_",_,y,NCic.Rel 1) -> Disambiguate.Ok (y,m,s,ug) | _ -> assert false) | k -> k) in let res,b = MultiPassDisambiguator.disambiguate_thing ~freshen_thing:CicNotationUtil.freshen_term ~context ~metasenv ~initial_ugraph:() ~aliases ~mk_implicit ~description_of_alias ~string_context_of_context:(List.map (fun (x,_) -> Some x)) ~universe ~uri:None ~pp_thing:CicNotationPp.pp_term ~passes:(MultiPassDisambiguator.passes ()) ~lookup_in_library ~domain_of_thing:domain_of_term ~interpretate_thing:(interpretate_term ~mk_choice (?create_dummy_ids:None)) ~refine_thing:(refine_term ~coercion_db) (text,prefix_len,term) ~mk_localization_tbl ~hint ~subst in List.map (function (a,b,c,d,_) -> a,b,c,d) res, b ;; let _ = let mk_type n = if n = 0 then [false, NUri.uri_of_string ("cic:/matita/pts/Type.univ")] else [false, NUri.uri_of_string ("cic:/matita/pts/Type"^string_of_int n^".univ")] in let mk_cprop n = if n = 0 then [false, NUri.uri_of_string ("cic:/matita/pts/CProp.univ")] else [false, NUri.uri_of_string ("cic:/matita/pts/CProp"^string_of_int n^".univ")] in NCicEnvironment.add_constraint true (mk_type 0) (mk_type 1); NCicEnvironment.add_constraint true (mk_cprop 0) (mk_cprop 1); NCicEnvironment.add_constraint true (mk_cprop 0) (mk_type 1); NCicEnvironment.add_constraint true (mk_type 0) (mk_cprop 1); NCicEnvironment.add_constraint false (mk_cprop 0) (mk_type 0); NCicEnvironment.add_constraint false (mk_type 0) (mk_cprop 0); ;;