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Diffstat (limited to 'pretyping/glob_term.ml')
-rw-r--r-- | pretyping/glob_term.ml | 418 |
1 files changed, 0 insertions, 418 deletions
diff --git a/pretyping/glob_term.ml b/pretyping/glob_term.ml deleted file mode 100644 index b7023db0..00000000 --- a/pretyping/glob_term.ml +++ /dev/null @@ -1,418 +0,0 @@ -(************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) -(* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) -(************************************************************************) - -(*i*) -open Util -open Names -open Sign -open Term -open Libnames -open Nametab -open Evd -(*i*) - -(* Untyped intermediate terms, after ASTs and before constr. *) - -(* locs here refers to the ident's location, not whole pat *) -(* the last argument of PatCstr is a possible alias ident for the pattern *) -type cases_pattern = - | PatVar of loc * name - | PatCstr of loc * constructor * cases_pattern list * name - -let cases_pattern_loc = function - PatVar(loc,_) -> loc - | PatCstr(loc,_,_,_) -> loc - -type patvar = identifier - -type glob_sort = GProp of Term.contents | GType of Univ.universe option - -type binding_kind = Lib.binding_kind = Explicit | Implicit - -type quantified_hypothesis = AnonHyp of int | NamedHyp of identifier - -type 'a explicit_bindings = (loc * quantified_hypothesis * 'a) list - -type 'a bindings = - | ImplicitBindings of 'a list - | ExplicitBindings of 'a explicit_bindings - | NoBindings - -type 'a with_bindings = 'a * 'a bindings - -type 'a cast_type = - | CastConv of cast_kind * 'a - | CastCoerce (* Cast to a base type (eg, an underlying inductive type) *) - -type glob_constr = - | GRef of (loc * global_reference) - | GVar of (loc * identifier) - | GEvar of loc * existential_key * glob_constr list option - | GPatVar of loc * (bool * patvar) (* Used for patterns only *) - | GApp of loc * glob_constr * glob_constr list - | GLambda of loc * name * binding_kind * glob_constr * glob_constr - | GProd of loc * name * binding_kind * glob_constr * glob_constr - | GLetIn of loc * name * glob_constr * glob_constr - | GCases of loc * case_style * glob_constr option * tomatch_tuples * cases_clauses - | GLetTuple of loc * name list * (name * glob_constr option) * - glob_constr * glob_constr - | GIf of loc * glob_constr * (name * glob_constr option) * glob_constr * glob_constr - | GRec of loc * fix_kind * identifier array * glob_decl list array * - glob_constr array * glob_constr array - | GSort of loc * glob_sort - | GHole of (loc * hole_kind) - | GCast of loc * glob_constr * glob_constr cast_type - -and glob_decl = name * binding_kind * glob_constr option * glob_constr - -and fix_recursion_order = GStructRec | GWfRec of glob_constr | GMeasureRec of glob_constr * glob_constr option - -and fix_kind = - | GFix of ((int option * fix_recursion_order) array * int) - | GCoFix of int - -and predicate_pattern = - name * (loc * inductive * int * name list) option - -and tomatch_tuple = (glob_constr * predicate_pattern) - -and tomatch_tuples = tomatch_tuple list - -and cases_clause = (loc * identifier list * cases_pattern list * glob_constr) - -and cases_clauses = cases_clause list - -let cases_predicate_names tml = - List.flatten (List.map (function - | (tm,(na,None)) -> [na] - | (tm,(na,Some (_,_,_,nal))) -> na::nal) tml) - -let mkGApp loc p t = - match p with - | GApp (loc,f,l) -> GApp (loc,f,l@[t]) - | _ -> GApp (loc,p,[t]) - -let map_glob_decl_left_to_right f (na,k,obd,ty) = - let comp1 = Option.map f obd in - let comp2 = f ty in - (na,k,comp1,comp2) - -let map_glob_constr_left_to_right f = function - | GApp (loc,g,args) -> - let comp1 = f g in - let comp2 = Util.list_map_left f args in - GApp (loc,comp1,comp2) - | GLambda (loc,na,bk,ty,c) -> - let comp1 = f ty in - let comp2 = f c in - GLambda (loc,na,bk,comp1,comp2) - | GProd (loc,na,bk,ty,c) -> - let comp1 = f ty in - let comp2 = f c in - GProd (loc,na,bk,comp1,comp2) - | GLetIn (loc,na,b,c) -> - let comp1 = f b in - let comp2 = f c in - GLetIn (loc,na,comp1,comp2) - | GCases (loc,sty,rtntypopt,tml,pl) -> - let comp1 = Option.map f rtntypopt in - let comp2 = Util.list_map_left (fun (tm,x) -> (f tm,x)) tml in - let comp3 = Util.list_map_left (fun (loc,idl,p,c) -> (loc,idl,p,f c)) pl in - GCases (loc,sty,comp1,comp2,comp3) - | GLetTuple (loc,nal,(na,po),b,c) -> - let comp1 = Option.map f po in - let comp2 = f b in - let comp3 = f c in - GLetTuple (loc,nal,(na,comp1),comp2,comp3) - | GIf (loc,c,(na,po),b1,b2) -> - let comp1 = Option.map f po in - let comp2 = f b1 in - let comp3 = f b2 in - GIf (loc,f c,(na,comp1),comp2,comp3) - | GRec (loc,fk,idl,bl,tyl,bv) -> - let comp1 = Array.map (Util.list_map_left (map_glob_decl_left_to_right f)) bl in - let comp2 = Array.map f tyl in - let comp3 = Array.map f bv in - GRec (loc,fk,idl,comp1,comp2,comp3) - | GCast (loc,c,k) -> - let comp1 = f c in - let comp2 = match k with CastConv (k,t) -> CastConv (k, f t) | x -> x in - GCast (loc,comp1,comp2) - | (GVar _ | GSort _ | GHole _ | GRef _ | GEvar _ | GPatVar _) as x -> x - -let map_glob_constr = map_glob_constr_left_to_right - -(* -let name_app f e = function - | Name id -> let (id, e) = f id e in (Name id, e) - | Anonymous -> Anonymous, e - -let fold_ident g idl e = - let (idl,e) = - Array.fold_right - (fun id (idl,e) -> let id,e = g id e in (id::idl,e)) idl ([],e) - in (Array.of_list idl,e) - -let map_glob_constr_with_binders_loc loc g f e = function - | GVar (_,id) -> GVar (loc,id) - | GApp (_,a,args) -> GApp (loc,f e a, List.map (f e) args) - | GLambda (_,na,ty,c) -> - let na,e = name_app g e na in GLambda (loc,na,f e ty,f e c) - | GProd (_,na,ty,c) -> - let na,e = name_app g e na in GProd (loc,na,f e ty,f e c) - | GLetIn (_,na,b,c) -> - let na,e = name_app g e na in GLetIn (loc,na,f e b,f e c) - | GCases (_,tyopt,tml,pl) -> - (* We don't modify pattern variable since we don't traverse patterns *) - let g' id e = snd (g id e) in - let h (_,idl,p,c) = (loc,idl,p,f (List.fold_right g' idl e) c) in - GCases - (loc,Option.map (f e) tyopt,List.map (f e) tml, List.map h pl) - | GRec (_,fk,idl,tyl,bv) -> - let idl',e' = fold_ident g idl e in - GRec (loc,fk,idl',Array.map (f e) tyl,Array.map (f e') bv) - | GCast (_,c,t) -> GCast (loc,f e c,f e t) - | GSort (_,x) -> GSort (loc,x) - | GHole (_,x) -> GHole (loc,x) - | GRef (_,x) -> GRef (loc,x) - | GEvar (_,x,l) -> GEvar (loc,x,l) - | GPatVar (_,x) -> GPatVar (loc,x) -*) - -let fold_glob_constr f acc = - let rec fold acc = function - | GVar _ -> acc - | GApp (_,c,args) -> List.fold_left fold (fold acc c) args - | GLambda (_,_,_,b,c) | GProd (_,_,_,b,c) | GLetIn (_,_,b,c) -> - fold (fold acc b) c - | GCases (_,_,rtntypopt,tml,pl) -> - List.fold_left fold_pattern - (List.fold_left fold (Option.fold_left fold acc rtntypopt) (List.map fst tml)) - pl - | GLetTuple (_,_,rtntyp,b,c) -> - fold (fold (fold_return_type acc rtntyp) b) c - | GIf (_,c,rtntyp,b1,b2) -> - fold (fold (fold (fold_return_type acc rtntyp) c) b1) b2 - | GRec (_,_,_,bl,tyl,bv) -> - let acc = Array.fold_left - (List.fold_left (fun acc (na,k,bbd,bty) -> - fold (Option.fold_left fold acc bbd) bty)) acc bl in - Array.fold_left fold (Array.fold_left fold acc tyl) bv - | GCast (_,c,k) -> fold (match k with CastConv (_, t) -> fold acc t | CastCoerce -> acc) c - | (GSort _ | GHole _ | GRef _ | GEvar _ | GPatVar _) -> acc - - and fold_pattern acc (_,idl,p,c) = fold acc c - - and fold_return_type acc (na,tyopt) = Option.fold_left fold acc tyopt - - in fold acc - -let iter_glob_constr f = fold_glob_constr (fun () -> f) () - -let occur_glob_constr id = - let rec occur = function - | GVar (loc,id') -> id = id' - | GApp (loc,f,args) -> (occur f) or (List.exists occur args) - | GLambda (loc,na,bk,ty,c) -> (occur ty) or ((na <> Name id) & (occur c)) - | GProd (loc,na,bk,ty,c) -> (occur ty) or ((na <> Name id) & (occur c)) - | GLetIn (loc,na,b,c) -> (occur b) or ((na <> Name id) & (occur c)) - | GCases (loc,sty,rtntypopt,tml,pl) -> - (occur_option rtntypopt) - or (List.exists (fun (tm,_) -> occur tm) tml) - or (List.exists occur_pattern pl) - | GLetTuple (loc,nal,rtntyp,b,c) -> - occur_return_type rtntyp id - or (occur b) or (not (List.mem (Name id) nal) & (occur c)) - | GIf (loc,c,rtntyp,b1,b2) -> - occur_return_type rtntyp id or (occur c) or (occur b1) or (occur b2) - | GRec (loc,fk,idl,bl,tyl,bv) -> - not (array_for_all4 (fun fid bl ty bd -> - let rec occur_fix = function - [] -> not (occur ty) && (fid=id or not(occur bd)) - | (na,k,bbd,bty)::bl -> - not (occur bty) && - (match bbd with - Some bd -> not (occur bd) - | _ -> true) && - (na=Name id or not(occur_fix bl)) in - occur_fix bl) - idl bl tyl bv) - | GCast (loc,c,k) -> (occur c) or (match k with CastConv (_, t) -> occur t | CastCoerce -> false) - | (GSort _ | GHole _ | GRef _ | GEvar _ | GPatVar _) -> false - - and occur_pattern (loc,idl,p,c) = not (List.mem id idl) & (occur c) - - and occur_option = function None -> false | Some p -> occur p - - and occur_return_type (na,tyopt) id = na <> Name id & occur_option tyopt - - in occur - - -let add_name_to_ids set na = - match na with - | Anonymous -> set - | Name id -> Idset.add id set - -let free_glob_vars = - let rec vars bounded vs = function - | GVar (loc,id') -> if Idset.mem id' bounded then vs else Idset.add id' vs - | GApp (loc,f,args) -> List.fold_left (vars bounded) vs (f::args) - | GLambda (loc,na,_,ty,c) | GProd (loc,na,_,ty,c) | GLetIn (loc,na,ty,c) -> - let vs' = vars bounded vs ty in - let bounded' = add_name_to_ids bounded na in - vars bounded' vs' c - | GCases (loc,sty,rtntypopt,tml,pl) -> - let vs1 = vars_option bounded vs rtntypopt in - let vs2 = List.fold_left (fun vs (tm,_) -> vars bounded vs tm) vs1 tml in - List.fold_left (vars_pattern bounded) vs2 pl - | GLetTuple (loc,nal,rtntyp,b,c) -> - let vs1 = vars_return_type bounded vs rtntyp in - let vs2 = vars bounded vs1 b in - let bounded' = List.fold_left add_name_to_ids bounded nal in - vars bounded' vs2 c - | GIf (loc,c,rtntyp,b1,b2) -> - let vs1 = vars_return_type bounded vs rtntyp in - let vs2 = vars bounded vs1 c in - let vs3 = vars bounded vs2 b1 in - vars bounded vs3 b2 - | GRec (loc,fk,idl,bl,tyl,bv) -> - let bounded' = Array.fold_right Idset.add idl bounded in - let vars_fix i vs fid = - let vs1,bounded1 = - List.fold_left - (fun (vs,bounded) (na,k,bbd,bty) -> - let vs' = vars_option bounded vs bbd in - let vs'' = vars bounded vs' bty in - let bounded' = add_name_to_ids bounded na in - (vs'',bounded') - ) - (vs,bounded') - bl.(i) - in - let vs2 = vars bounded1 vs1 tyl.(i) in - vars bounded1 vs2 bv.(i) - in - array_fold_left_i vars_fix vs idl - | GCast (loc,c,k) -> let v = vars bounded vs c in - (match k with CastConv (_,t) -> vars bounded v t | _ -> v) - | (GSort _ | GHole _ | GRef _ | GEvar _ | GPatVar _) -> vs - - and vars_pattern bounded vs (loc,idl,p,c) = - let bounded' = List.fold_right Idset.add idl bounded in - vars bounded' vs c - - and vars_option bounded vs = function None -> vs | Some p -> vars bounded vs p - - and vars_return_type bounded vs (na,tyopt) = - let bounded' = add_name_to_ids bounded na in - vars_option bounded' vs tyopt - in - fun rt -> - let vs = vars Idset.empty Idset.empty rt in - Idset.elements vs - - -let loc_of_glob_constr = function - | GRef (loc,_) -> loc - | GVar (loc,_) -> loc - | GEvar (loc,_,_) -> loc - | GPatVar (loc,_) -> loc - | GApp (loc,_,_) -> loc - | GLambda (loc,_,_,_,_) -> loc - | GProd (loc,_,_,_,_) -> loc - | GLetIn (loc,_,_,_) -> loc - | GCases (loc,_,_,_,_) -> loc - | GLetTuple (loc,_,_,_,_) -> loc - | GIf (loc,_,_,_,_) -> loc - | GRec (loc,_,_,_,_,_) -> loc - | GSort (loc,_) -> loc - | GHole (loc,_) -> loc - | GCast (loc,_,_) -> loc - -(**********************************************************************) -(* Conversion from glob_constr to cases pattern, if possible *) - -let rec cases_pattern_of_glob_constr na = function - | GVar (loc,id) when na<>Anonymous -> - (* Unable to manage the presence of both an alias and a variable *) - raise Not_found - | GVar (loc,id) -> PatVar (loc,Name id) - | GHole (loc,_) -> PatVar (loc,na) - | GRef (loc,ConstructRef cstr) -> - PatCstr (loc,cstr,[],na) - | GApp (loc,GRef (_,ConstructRef (ind,_ as cstr)),args) -> - let mib,_ = Global.lookup_inductive ind in - let nparams = mib.Declarations.mind_nparams in - if nparams > List.length args then - user_err_loc (loc,"",Pp.str "Invalid notation for pattern."); - let params,args = list_chop nparams args in - List.iter (function GHole _ -> () - | _ -> user_err_loc (loc,"",Pp.str"Invalid notation for pattern.")) - params; - let args = List.map (cases_pattern_of_glob_constr Anonymous) args in - PatCstr (loc,cstr,args,na) - | _ -> raise Not_found - -(* Turn a closed cases pattern into a glob_constr *) -let rec glob_constr_of_closed_cases_pattern_aux = function - | PatCstr (loc,cstr,[],Anonymous) -> - GRef (loc,ConstructRef cstr) - | PatCstr (loc,cstr,l,Anonymous) -> - let ref = GRef (loc,ConstructRef cstr) in - GApp (loc,ref, List.map glob_constr_of_closed_cases_pattern_aux l) - | _ -> raise Not_found - -let glob_constr_of_closed_cases_pattern = function - | PatCstr (loc,cstr,l,na) -> - na,glob_constr_of_closed_cases_pattern_aux (PatCstr (loc,cstr,l,Anonymous)) - | _ -> - raise Not_found - -(**********************************************************************) -(* Reduction expressions *) - -type 'a glob_red_flag = { - rBeta : bool; - rIota : bool; - rZeta : bool; - rDelta : bool; (* true = delta all but rConst; false = delta only on rConst*) - rConst : 'a list -} - -let all_flags = - {rBeta = true; rIota = true; rZeta = true; rDelta = true; rConst = []} - -type 'a or_var = ArgArg of 'a | ArgVar of identifier located - -type occurrences_expr = bool * int or_var list - -let all_occurrences_expr_but l = (false,l) -let no_occurrences_expr_but l = (true,l) -let all_occurrences_expr = (false,[]) -let no_occurrences_expr = (true,[]) - -type 'a with_occurrences = occurrences_expr * 'a - -type ('a,'b,'c) red_expr_gen = - | Red of bool - | Hnf - | Simpl of 'c with_occurrences option - | Cbv of 'b glob_red_flag - | Lazy of 'b glob_red_flag - | Unfold of 'b with_occurrences list - | Fold of 'a list - | Pattern of 'a with_occurrences list - | ExtraRedExpr of string - | CbvVm - -type ('a,'b,'c) may_eval = - | ConstrTerm of 'a - | ConstrEval of ('a,'b,'c) red_expr_gen * 'a - | ConstrContext of (loc * identifier) * 'a - | ConstrTypeOf of 'a |