* http://helm.cs.unibo.it/
*)
+open Printf
+
exception Meta_not_found of int
+exception Subst_not_found of int
let lookup_meta index metasenv =
try
List.find (fun (index', _, _) -> index = index') metasenv
with Not_found -> raise (Meta_not_found index)
+let lookup_subst n subst =
+ try
+ List.assoc n subst
+ with Not_found -> raise (Subst_not_found n)
+
let exists_meta index = List.exists (fun (index', _, _) -> (index = index'))
+(* clean_up_meta take a substitution, a metasenv a meta_inex and a local
+context l and clean up l with respect to the hidden hipothesis in the
+canonical context *)
+
+let clean_up_local_context subst metasenv n l =
+ let cc =
+ (try
+ let (cc,_,_) = lookup_subst n subst in cc
+ with Subst_not_found _ ->
+ try
+ let (_,cc,_) = lookup_meta n metasenv in cc
+ with Meta_not_found _ -> assert false) in
+ (try
+ List.map2
+ (fun t1 t2 ->
+ match t1,t2 with
+ None , _ -> None
+ | _ , t -> t) cc l
+ with
+ Invalid_argument _ -> assert false)
+
let is_closed =
let module C = Cic in
let rec is_closed k =
in
is_closed 0
;;
+
+let rec is_meta_closed =
+ function
+ Cic.Rel _ -> true
+ | Cic.Meta _ -> false
+ | Cic.Sort _ -> true
+ | Cic.Implicit _ -> assert false
+ | Cic.Cast (te,ty) -> is_meta_closed te && is_meta_closed ty
+ | Cic.Prod (name,so,dest) -> is_meta_closed so && is_meta_closed dest
+ | Cic.Lambda (_,so,dest) -> is_meta_closed so && is_meta_closed dest
+ | Cic.LetIn (_,so,dest) -> is_meta_closed so && is_meta_closed dest
+ | Cic.Appl l ->
+ List.fold_right (fun x i -> i && is_meta_closed x) l true
+ | Cic.Var (_,exp_named_subst)
+ | Cic.Const (_,exp_named_subst)
+ | Cic.MutInd (_,_,exp_named_subst)
+ | Cic.MutConstruct (_,_,_,exp_named_subst) ->
+ List.fold_right (fun (_,x) i -> i && is_meta_closed x)
+ exp_named_subst true
+ | Cic.MutCase (_,_,out,te,pl) ->
+ is_meta_closed out && is_meta_closed te &&
+ List.fold_right (fun x i -> i && is_meta_closed x) pl true
+ | Cic.Fix (_,fl) ->
+ List.fold_right
+ (fun (_,_,ty,bo) i -> i && is_meta_closed ty && is_meta_closed bo
+ ) fl true
+ | Cic.CoFix (_,fl) ->
+ List.fold_right
+ (fun (_,ty,bo) i -> i && is_meta_closed ty && is_meta_closed bo
+ ) fl true
+;;
+
+let xpointer_RE = Str.regexp "\\([^#]+\\)#xpointer(\\(.*\\))"
+let slash_RE = Str.regexp "/"
+
+let term_of_uri uri =
+ let s = UriManager.string_of_uri uri in
+ try
+ (if UriManager.uri_is_con uri then
+ Cic.Const (uri, [])
+ else if UriManager.uri_is_var uri then
+ Cic.Var (uri, [])
+ else if not (Str.string_match xpointer_RE s 0) then
+ raise (UriManager.IllFormedUri s)
+ else
+ let (baseuri,xpointer) = (Str.matched_group 1 s, Str.matched_group 2 s) in
+ let baseuri = UriManager.uri_of_string baseuri in
+ (match Str.split slash_RE xpointer with
+ | [_; tyno] -> Cic.MutInd (baseuri, int_of_string tyno - 1, [])
+ | [_; tyno; consno] ->
+ Cic.MutConstruct
+ (baseuri, int_of_string tyno - 1, int_of_string consno, [])
+ | _ -> raise Exit))
+ with
+ | Exit
+ | Failure _
+ | Not_found -> raise (UriManager.IllFormedUri s)
+
+let uri_of_term = function
+ | Cic.Const (uri, [])
+ | Cic.Var (uri, []) -> uri
+ | Cic.MutInd (baseuri, tyno, []) ->
+ UriManager.uri_of_string
+ (sprintf "%s#xpointer(1/%d)" (UriManager.string_of_uri baseuri) (tyno+1))
+ | Cic.MutConstruct (baseuri, tyno, consno, []) ->
+ UriManager.uri_of_string
+ (sprintf "%s#xpointer(1/%d/%d)" (UriManager.string_of_uri baseuri)
+ (tyno + 1) consno)
+ | _ -> raise (Invalid_argument "uri_of_term")
+
+let select ~term ~context =
+ (* i is the number of binder traversed *)
+ let rec aux i context term =
+ match (context, term) with
+ | Cic.Implicit (Some `Hole), t -> [i,t]
+ | Cic.Implicit None,_ -> []
+ | Cic.Meta (_, ctxt1), Cic.Meta (_, ctxt2) ->
+ List.concat
+ (List.map2
+ (fun t1 t2 ->
+ (match (t1, t2) with Some t1, Some t2 -> aux i t1 t2 | _ -> []))
+ ctxt1 ctxt2)
+ | Cic.Cast (te1, ty1), Cic.Cast (te2, ty2) -> aux i te1 te2 @ aux i ty1 ty2
+ | Cic.Prod (_, s1, t1), Cic.Prod (_, s2, t2)
+ | Cic.Lambda (_, s1, t1), Cic.Lambda (_, s2, t2)
+ | Cic.LetIn (_, s1, t1), Cic.LetIn (_, s2, t2) ->
+ aux i s1 s2 @ aux (i+1) t1 t2
+ | Cic.Appl terms1, Cic.Appl terms2 -> auxs i terms1 terms2
+ | Cic.Var (_, subst1), Cic.Var (_, subst2)
+ | Cic.Const (_, subst1), Cic.Const (_, subst2)
+ | Cic.MutInd (_, _, subst1), Cic.MutInd (_, _, subst2)
+ | Cic.MutConstruct (_, _, _, subst1), Cic.MutConstruct (_, _, _, subst2) ->
+ auxs i (List.map snd subst1) (List.map snd subst2)
+ | Cic.MutCase (_, _, out1, t1, pat1), Cic.MutCase (_ , _, out2, t2, pat2) ->
+ aux i out1 out2 @ aux i t1 t2 @ auxs i pat1 pat2
+ | Cic.Fix (_, funs1), Cic.Fix (_, funs2) ->
+ List.concat
+ (List.map2
+ (fun (_, _, ty1, bo1) (_, _, ty2, bo2) ->
+ aux i ty1 ty2 @ aux i bo1 bo2)
+ funs1 funs2)
+ | Cic.CoFix (_, funs1), Cic.CoFix (_, funs2) ->
+ List.concat
+ (List.map2
+ (fun (_, ty1, bo1) (_, ty2, bo2) -> aux i ty1 ty2 @ aux i bo1 bo2)
+ funs1 funs2)
+ | _ -> assert false
+ and auxs i terms1 terms2 = (* as aux for list of terms *)
+ List.concat (List.map2 (fun t1 t2 -> aux i t1 t2) terms1 terms2)
+ in
+ aux 0 context term
+
+let context_of ?(equality=(==)) ~term terms =
+ let (===) x y = equality x y in
+ let rec aux t =
+ match t with
+ | t when List.exists (fun t' -> t === t') terms -> Cic.Implicit (Some `Hole)
+ | Cic.Var (uri, subst) -> Cic.Var (uri, aux_subst subst)
+ | Cic.Meta (i, ctxt) ->
+ let ctxt =
+ List.map (function None -> None | Some t -> Some (aux t)) ctxt
+ in
+ Cic.Meta (i, ctxt)
+ | Cic.Cast (t, ty) -> Cic.Cast (aux t, aux ty)
+ | Cic.Prod (name, s, t) -> Cic.Prod (name, aux s, aux t)
+ | Cic.Lambda (name, s, t) -> Cic.Lambda (name, aux s, aux t)
+ | Cic.LetIn (name, s, t) -> Cic.LetIn (name, aux s, aux t)
+ | Cic.Appl terms -> Cic.Appl (List.map aux terms)
+ | Cic.Const (uri, subst) -> Cic.Const (uri, aux_subst subst)
+ | Cic.MutInd (uri, tyno, subst) -> Cic.MutInd (uri, tyno, aux_subst subst)
+ | Cic.MutConstruct (uri, tyno, consno, subst) ->
+ Cic.MutConstruct (uri, tyno, consno, aux_subst subst)
+ | Cic.MutCase (uri, tyno, outty, t, pat) ->
+ Cic.MutCase (uri, tyno, aux outty, aux t, List.map aux pat)
+ | Cic.Fix (funno, funs) ->
+ let funs =
+ List.map (fun (name, i, ty, bo) -> (name, i, aux ty, aux bo)) funs
+ in
+ Cic.Fix (funno, funs)
+ | Cic.CoFix (funno, funs) ->
+ let funs =
+ List.map (fun (name, ty, bo) -> (name, aux ty, aux bo)) funs
+ in
+ Cic.CoFix (funno, funs)
+ | Cic.Rel _
+ | Cic.Sort _
+ | Cic.Implicit _ -> t
+ and aux_subst subst =
+ List.map (fun (uri, t) -> (uri, aux t)) subst
+ in
+ aux term
+
+(*
+let pack terms =
+ List.fold_right
+ (fun term acc -> Cic.Prod (Cic.Anonymous, term, acc))
+ terms (Cic.Sort (Cic.Type (CicUniv.fresh ())))
+
+let rec unpack = function
+ | Cic.Prod (Cic.Anonymous, term, Cic.Sort (Cic.Type _)) -> [term]
+ | Cic.Prod (Cic.Anonymous, term, tgt) -> term :: unpack tgt
+ | _ -> assert false
+*)
+
+let rec strip_prods n = function
+ | t when n = 0 -> t
+ | Cic.Prod (_, _, tgt) when n > 0 -> strip_prods (n-1) tgt
+ | _ -> failwith "not enough prods"
+
+let params_of_obj = function
+ | Cic.Constant (_, _, _, params, _)
+ | Cic.Variable (_, _, _, params, _)
+ | Cic.CurrentProof (_, _, _, _, params, _)
+ | Cic.InductiveDefinition (_, params, _, _) ->
+ params
+
+let attributes_of_obj = function
+ | Cic.Constant (_, _, _, _, attributes)
+ | Cic.Variable (_, _, _, _, attributes)
+ | Cic.CurrentProof (_, _, _, _, _, attributes)
+ | Cic.InductiveDefinition (_, _, _, attributes) ->
+ attributes
+let rec mk_rels howmany from =
+ match howmany with
+ | 0 -> []
+ | _ -> (Cic.Rel (howmany + from)) :: (mk_rels (howmany-1) from)
+
+let profile =
+ function s ->
+ let total = ref 0.0 in
+ let profile f x =
+ let before = Unix.gettimeofday () in
+ let res = f x in
+ let after = Unix.gettimeofday () in
+ total := !total +. (after -. before);
+ res
+ in
+ at_exit
+ (fun () ->
+ print_endline
+ ("!! TOTAL TIME SPENT IN " ^ s ^ ": " ^ string_of_float !total));
+ profile