module C = NCic
module R = NReference
+module F = Format
let head_beta_reduce = ref (fun ~upto:_ _ -> assert false);;
let set_head_beta_reduce = (:=) head_beta_reduce;;
| `Typeof x -> "Ty("^string_of_int x^")"
;;
-let ppterm ~context ~subst ~metasenv:_ ?(inside_fix=false) t =
- let buff = Buffer.create 100 in
- let f = Format.formatter_of_buffer buff in
- let module F = Format in
- let rec aux ?(toplevel=false) ctx = function
- | C.Rel m ->
- (try
- let name = List.nth ctx (m-1) in
- F.fprintf f "%s" (if name = "_" then "__"^string_of_int m else name)
- with Failure "nth" | Invalid_argument "List.nth" ->
- F.fprintf f " -%d" (m - List.length ctx))
- | C.Const r -> F.fprintf f "%s" (r2s inside_fix r)
- | C.Prod ("_",s,t) ->
- if not toplevel then F.fprintf f "(";
- F.fprintf f "@[<hov 1>";
- (match s with
- | C.Prod ("_",_,_) -> aux ~toplevel:false ctx s
- | _ -> aux ~toplevel:true ctx s);
- F.fprintf f "@;→ ";
- aux ~toplevel:true ("_"::ctx) t;
- F.fprintf f "@]";
- if not toplevel then F.fprintf f ")";
- | C.Prod (name,s,t) ->
- if not toplevel then F.fprintf f "(";
- F.fprintf f "@[<hov 1>";
- F.fprintf f "@[<hov 2>∀%s:@;" name;
- aux ~toplevel:true ctx s;
- F.fprintf f "@].@;";
- aux ~toplevel:true (name::ctx) t;
- F.fprintf f "@]";
- if not toplevel then F.fprintf f ")";
- | C.Lambda (name,s,t) ->
- if not toplevel then F.fprintf f "(";
- F.fprintf f "@[<hov 1>";
- F.fprintf f "λ%s:" name;
- aux ~toplevel:true ctx s;
- F.fprintf f ".@;";
- aux ~toplevel:true (name::ctx) t;
- F.fprintf f "@]";
- if not toplevel then F.fprintf f ")";
- | C.LetIn (name,ty,t,b) ->
- if not toplevel then F.fprintf f "(";
- F.fprintf f "@[<hov 1>";
- F.fprintf f "let %s:@;" name;
- aux ~toplevel:true ctx ty;
- F.fprintf f "@;≝ ";
- aux ~toplevel:true ctx t;
- F.fprintf f "@;in@;";
- (aux ~toplevel:true (name::ctx) b);
- F.fprintf f "@]";
- if not toplevel then F.fprintf f ")";
- | C.Match (r,oty,t,pl) ->
- F.fprintf f "@[<hov>match ";
- aux ~toplevel:true ctx t;
- F.fprintf f "@;return ";
- aux ~toplevel:true ctx oty;
- F.fprintf f "@; @[<v>[ ";
- if pl <> [] then
- begin
- F.fprintf f "@[<hov 2>%s ⇒@;"
- (try r2s inside_fix (R.mk_constructor 1 r)
- with R.IllFormedReference _ -> "#ERROR#");
- aux ~toplevel:true ctx (List.hd pl);
- F.fprintf f "@]";
- ignore(List.fold_left
- (fun i t ->
- F.fprintf f "@;| @[<hov 2>%s ⇒@;"
- (try r2s inside_fix (R.mk_constructor i r)
- with R.IllFormedReference _ -> "#ERROR#");
- aux ~toplevel:true ctx t;
- F.fprintf f "@]";
- i+1)
- 2 (List.tl pl));
- end;
- F.fprintf f "]@] @]";
- | C.Appl [] | C.Appl [_] | C.Appl (C.Appl _::_) ->
- F.fprintf f "BAD APPLICATION"
- | C.Appl (C.Meta (n,lc) :: args) when List.mem_assoc n subst ->
+let ppterm ~formatter:f ~context ~subst ~metasenv:_ ?(inside_fix=false) t =
+ let rec aux ?(toplevel=false) ctx = function
+ | C.Rel m ->
+ (try
+ let name = List.nth ctx (m-1) in
+ F.fprintf f "%s" (if name = "_" then "__"^string_of_int m else name)
+ with Failure "nth" | Invalid_argument "List.nth" ->
+ F.fprintf f " -%d" (m - List.length ctx))
+ | C.Const r -> F.fprintf f "%s" (r2s inside_fix r)
+ | C.Prod ("_",s,t) ->
+ if not toplevel then F.fprintf f "(";
+ F.fprintf f "@[<hov 1>";
+ (match s with
+ | C.Prod ("_",_,_) -> aux ~toplevel:false ctx s
+ | _ -> aux ~toplevel:true ctx s);
+ F.fprintf f "@;→ ";
+ aux ~toplevel:true ("_"::ctx) t;
+ F.fprintf f "@]";
+ if not toplevel then F.fprintf f ")";
+ | C.Prod (name,s,t) ->
+ if not toplevel then F.fprintf f "(";
+ F.fprintf f "@[<hov 1>";
+ F.fprintf f "@[<hov 2>∀%s:@;" name;
+ aux ~toplevel:true ctx s;
+ F.fprintf f "@].@;";
+ aux ~toplevel:true (name::ctx) t;
+ F.fprintf f "@]";
+ if not toplevel then F.fprintf f ")";
+ | C.Lambda (name,s,t) ->
+ if not toplevel then F.fprintf f "(";
+ F.fprintf f "@[<hov 1>";
+ F.fprintf f "λ%s:" name;
+ aux ~toplevel:true ctx s;
+ F.fprintf f ".@;";
+ aux ~toplevel:true (name::ctx) t;
+ F.fprintf f "@]";
+ if not toplevel then F.fprintf f ")";
+ | C.LetIn (name,ty,t,b) ->
+ if not toplevel then F.fprintf f "(";
+ F.fprintf f "@[<hov 1>";
+ F.fprintf f "let %s:@;" name;
+ aux ~toplevel:true ctx ty;
+ F.fprintf f "@;≝ ";
+ aux ~toplevel:true ctx t;
+ F.fprintf f "@;in@;";
+ (aux ~toplevel:true (name::ctx) b);
+ F.fprintf f "@]";
+ if not toplevel then F.fprintf f ")";
+ | C.Match (r,oty,t,pl) ->
+ F.fprintf f "@[<hov>match ";
+ aux ~toplevel:true ctx t;
+ F.fprintf f "@;return ";
+ aux ~toplevel:true ctx oty;
+ F.fprintf f "@; @[<v>[ ";
+ if pl <> [] then
+ begin
+ F.fprintf f "@[<hov 2>%s ⇒@;"
+ (try r2s inside_fix (R.mk_constructor 1 r)
+ with R.IllFormedReference _ -> "#ERROR#");
+ aux ~toplevel:true ctx (List.hd pl);
+ F.fprintf f "@]";
+ ignore(List.fold_left
+ (fun i t ->
+ F.fprintf f "@;| @[<hov 2>%s ⇒@;"
+ (try r2s inside_fix (R.mk_constructor i r)
+ with R.IllFormedReference _ -> "#ERROR#");
+ aux ~toplevel:true ctx t;
+ F.fprintf f "@]";
+ i+1)
+ 2 (List.tl pl));
+ end;
+ F.fprintf f "]@] @]";
+ | C.Appl [] | C.Appl [_] | C.Appl (C.Appl _::_) ->
+ F.fprintf f "BAD APPLICATION"
+ | C.Appl (C.Meta (n,lc) :: args) when List.mem_assoc n subst ->
+ let _,_,t,_ = List.assoc n subst in
+ let hd = NCicSubstitution.subst_meta lc t in
+ aux ctx
+ (!head_beta_reduce ~upto:(List.length args)
+ (match hd with
+ | NCic.Appl l -> NCic.Appl (l@args)
+ | _ -> NCic.Appl (hd :: args)))
+ | C.Appl l ->
+ F.fprintf f "@[<hov 2>";
+ if not toplevel then F.fprintf f "(";
+ aux ctx (List.hd l);
+ List.iter (fun x -> F.fprintf f "@;";aux ctx x) (List.tl l);
+ if not toplevel then F.fprintf f ")";
+ F.fprintf f "@]"
+ | C.Implicit annot ->
+ F.fprintf f "?%s" (string_of_implicit_annotation annot)
+ | C.Meta (n,lc) when List.mem_assoc n subst ->
let _,_,t,_ = List.assoc n subst in
- let hd = NCicSubstitution.subst_meta lc t in
- aux ctx
- (!head_beta_reduce ~upto:(List.length args)
- (match hd with
- | NCic.Appl l -> NCic.Appl (l@args)
- | _ -> NCic.Appl (hd :: args)))
- | C.Appl l ->
- F.fprintf f "@[<hov 2>";
- if not toplevel then F.fprintf f "(";
- aux ctx (List.hd l);
- List.iter (fun x -> F.fprintf f "@;";aux ctx x) (List.tl l);
- if not toplevel then F.fprintf f ")";
- F.fprintf f "@]"
- | C.Implicit annot ->
- F.fprintf f "?%s" (string_of_implicit_annotation annot)
- | C.Meta (n,lc) when List.mem_assoc n subst ->
- let _,_,t,_ = List.assoc n subst in
- aux ctx (NCicSubstitution.subst_meta lc t)
- | C.Meta (n,(shift,C.Irl len)) ->
- F.fprintf f "?%d(%d,%d)" n shift len
- | C.Meta (n,(shift,C.Ctx l)) ->
- F.fprintf f "?%d(%d,[" n shift;
- if List.length l > 0 then
- begin
- aux ctx (NCicSubstitution.lift shift (List.hd l));
- List.iter (fun x -> F.fprintf f ",";aux ctx x)
- (List.map (NCicSubstitution.lift shift) (List.tl l));
- end;
- F.fprintf f "])"
- | C.Sort C.Prop -> F.fprintf f "Prop"
- | C.Sort (C.Type []) -> F.fprintf f "Type0"
- | C.Sort (C.Type [false, u]) -> F.fprintf f "%s" (NUri.name_of_uri u)
- | C.Sort (C.Type [true, u]) -> F.fprintf f "S(%s)" (NUri.name_of_uri u)
- | C.Sort (C.Type l) ->
- F.fprintf f "Max(";
- aux ctx (C.Sort (C.Type [List.hd l]));
- List.iter (fun x -> F.fprintf f ",";aux ctx (C.Sort (C.Type [x])))
- (List.tl l);
- F.fprintf f ")"
- in
- aux ~toplevel:true (List.map fst context) t;
- F.fprintf f "@?";
+ aux ctx (NCicSubstitution.subst_meta lc t)
+ | C.Meta (n,(shift,C.Irl len)) ->
+ F.fprintf f "?%d(%d,%d)" n shift len
+ | C.Meta (n,(shift,C.Ctx l)) ->
+ F.fprintf f "?%d(%d,[" n shift;
+ if List.length l > 0 then
+ begin
+ aux ctx (NCicSubstitution.lift shift (List.hd l));
+ List.iter (fun x -> F.fprintf f ",";aux ctx x)
+ (List.map (NCicSubstitution.lift shift) (List.tl l));
+ end;
+ F.fprintf f "])"
+ | C.Sort C.Prop -> F.fprintf f "Prop"
+ | C.Sort (C.Type []) -> F.fprintf f "Type0"
+ | C.Sort (C.Type [false, u]) -> F.fprintf f "%s" (NUri.name_of_uri u)
+ | C.Sort (C.Type [true, u]) -> F.fprintf f "S(%s)" (NUri.name_of_uri u)
+ | C.Sort (C.Type l) ->
+ F.fprintf f "Max(";
+ aux ctx (C.Sort (C.Type [List.hd l]));
+ List.iter (fun x -> F.fprintf f ",";aux ctx (C.Sort (C.Type [x])))
+ (List.tl l);
+ F.fprintf f ")"
+ in
+ aux ~toplevel:true (List.map fst context) t
+;;
+
+let on_buffer f t =
+ let buff = Buffer.create 100 in
+ let formatter = F.formatter_of_buffer buff in
+ f ~formatter:formatter t;
+ F.fprintf formatter "@?";
Buffer.contents buff
;;
-let ppterm ~context ~subst ~metasenv ?(margin=80) ?inside_fix t =
- Format.set_margin margin;
- ppterm ~context ~subst ~metasenv ?inside_fix t
+let ppterm ~formatter ~context ~subst ~metasenv ?(margin=80) ?inside_fix t =
+ F.set_margin margin;
+ ppterm ~formatter ~context ~subst ~metasenv ?inside_fix t
;;
-let rec ppcontext ?(sep="\n") ~subst ~metasenv = function
- | [] -> ""
+let rec ppcontext ~formatter ?(sep="\n") ~subst ~metasenv = function
+ | [] -> ()
| (name, NCic.Decl t) :: tl ->
- ppcontext ~sep ~subst ~metasenv tl ^
- name ^ ": " ^ ppterm ~subst ~metasenv ~context:tl t ^ sep
+ ppcontext ~formatter ~sep ~subst ~metasenv tl;
+ F.fprintf formatter "%s: " name;
+ ppterm ~formatter ~subst ~metasenv ~context:tl t;
+ F.fprintf formatter "%s" sep
| (name, NCic.Def (bo,ty)) :: tl->
- ppcontext ~sep ~subst ~metasenv tl ^
- name ^ ": " ^ ppterm ~subst ~metasenv ~context:tl ty ^
- " := " ^ ppterm ~subst ~metasenv ~context:tl bo ^ sep
+ ppcontext ~formatter ~sep ~subst ~metasenv tl;
+ F.fprintf formatter "%s: " name;
+ ppterm ~formatter ~subst ~metasenv ~context:tl ty;
+ F.fprintf formatter " := ";
+ ppterm ~formatter ~subst ~metasenv ~context:tl bo;
+ F.fprintf formatter "%s" sep
;;
-let rec ppmetasenv ~subst metasenv = function
- | [] -> ""
+let rec ppmetasenv ~formatter ~subst metasenv = function
+ | [] -> ()
| (i,(name, ctx, ty)) :: tl ->
let name = match name with Some n -> "("^n^")" | _ -> "" in
- ppcontext ~sep:"; " ~subst ~metasenv ctx ^
- " ⊢ ?"^string_of_int i^name^" : " ^
- ppterm ~metasenv ~subst ~context:ctx ty ^ "\n" ^
- ppmetasenv ~subst metasenv tl
+ ppcontext ~formatter ~sep:"; " ~subst ~metasenv ctx;
+ F.fprintf formatter " ⊢ ?%d%s : " i name;
+ ppterm ~formatter ~metasenv ~subst ~context:ctx ty;
+ F.fprintf formatter "\n";
+ ppmetasenv ~formatter ~subst metasenv tl
;;
-let ppmetasenv ~subst metasenv = ppmetasenv ~subst metasenv metasenv;;
+let ppmetasenv ~formatter ~subst metasenv =
+ ppmetasenv ~formatter ~subst metasenv metasenv
+;;
-let rec ppsubst ~subst ~metasenv = function
- | [] -> ""
+let rec ppsubst ~formatter ~subst ~metasenv = function
+ | [] -> ()
| (i,(name, ctx, t, ty)) :: tl ->
-
let name = match name with Some n -> "("^n^")" | _ -> "" in
- ppcontext ~sep:"; " ~subst ~metasenv ctx ^
- " ⊢ ?"^string_of_int i^name^" := " ^
- ppterm ~metasenv ~subst ~context:ctx t ^ " : " ^
- ppterm ~metasenv ~subst ~context:ctx ty ^ "\n" ^
- ppsubst ~subst ~metasenv tl
+ ppcontext ~formatter ~sep:"; " ~subst ~metasenv ctx;
+ F.fprintf formatter " ⊢ ?%d%s := " i name;
+ ppterm ~formatter ~metasenv ~subst ~context:ctx t;
+ F.fprintf formatter " : ";
+ ppterm ~formatter ~metasenv ~subst ~context:ctx ty;
+ F.fprintf formatter "\n";
+ ppsubst ~formatter ~subst ~metasenv tl
;;
-let ppsubst ~metasenv subst = ppsubst ~metasenv ~subst subst;;
-
+let ppsubst ~formatter ~metasenv subst =
+ ppsubst ~formatter ~metasenv ~subst subst
+;;
-let ppobj (u,_,metasenv, subst, o) =
- "metasenv:\n" ^ ppmetasenv ~subst metasenv ^ "\n" ^
- "subst:\n" ^ ppsubst subst ~metasenv ^ "\n" ^
+let ppobj ~formatter (u,_,metasenv, subst, o) =
+ F.fprintf formatter "metasenv:\n";
+ ppmetasenv ~formatter ~subst metasenv;
+ F.fprintf formatter "\n";
+ F.fprintf formatter "subst:\n";
+ (*ppsubst subst ~formatter ~metasenv;*)
+ F.fprintf formatter "\n";
match o with
| NCic.Fixpoint (b, fl, _) ->
- "{"^NUri.string_of_uri u^"}\n"^
- (if b then "let rec " else "let corec ") ^
- String.concat "\nand "
- (List.map (fun (_,name,n,ty,bo) ->
- name^ " on " ^ string_of_int n ^ " : " ^
- ppterm ~metasenv ~subst ~context:[] ty ^ " :=\n"^
- ppterm ~metasenv ~subst ~context:[] ~inside_fix:true bo) fl)
+ F.fprintf formatter "{%s}\n" (NUri.string_of_uri u);
+ F.fprintf formatter "%s" (if b then "let rec " else "let corec ");
+ HExtlib.list_iter_sep ~sep:(fun ()->F.fprintf formatter "\nand ")
+ (fun (_,name,n,ty,bo) ->
+ F.fprintf formatter "%s on %d : " name n;
+ ppterm ~formatter ~metasenv ~subst ~context:[] ty;
+ F.fprintf formatter " :=\n";
+ ppterm ~formatter ~metasenv ~subst ~context:[] ~inside_fix:true bo) fl
| NCic.Inductive (b, leftno,tyl, _) ->
- "{"^NUri.string_of_uri u^"} with "^string_of_int leftno^" fixed params\n"^
- (if b then "inductive " else "coinductive ")^
- String.concat "\nand "
- (List.map (fun (_,name,ty,cl) ->
- name^": "^ppterm ~metasenv ~subst ~context:[] ty^ " :=\n"^
- String.concat "\n"
- (List.map (fun (_,name,ty) ->
- " | "^name^": "^ppterm ~metasenv ~subst ~context:[] ty)
- cl)) tyl) ^ "."
+ F.fprintf formatter "{%s} with %d fixed params\n%s"
+ (NUri.string_of_uri u) leftno
+ (if b then "inductive " else "coinductive ");
+ HExtlib.list_iter_sep ~sep:(fun ()->F.fprintf formatter "\nand ")
+ (fun (_,name,ty,cl) ->
+ F.fprintf formatter "%s: " name;
+ ppterm ~formatter ~metasenv ~subst ~context:[] ty;
+ F.fprintf formatter " :=\n";
+ HExtlib.list_iter_sep ~sep:(fun () -> F.fprintf formatter "\n")
+ (fun (_,name,ty) ->
+ F.fprintf formatter " | %s: " name;
+ ppterm ~formatter ~metasenv ~subst ~context:[] ty)
+ cl
+ ) tyl
| NCic.Constant (_,name,None,ty, _) ->
- "{"^NUri.string_of_uri u^"}\n"^
- "axiom " ^ name ^ " : " ^
- ppterm ~metasenv ~subst ~context:[] ty ^ "\n"
+ F.fprintf formatter "{%s}\naxiom %s : " (NUri.string_of_uri u) name;
+ ppterm ~formatter ~metasenv ~subst ~context:[] ty;
+ F.fprintf formatter "\n"
| NCic.Constant (_,name,Some bo,ty, _) ->
- "{"^NUri.string_of_uri u^"}\n"^
- "definition " ^ name ^ " : " ^
- ppterm ~metasenv ~subst ~context:[] ty ^ " := \n"^
- ppterm ~metasenv ~subst ~context:[] bo ^ "\n"
+ F.fprintf formatter "{%s}\ndefinition %s : " (NUri.string_of_uri u) name;
+ ppterm ~formatter ~metasenv ~subst ~context:[] ty;
+ F.fprintf formatter " := \n";
+ ppterm ~formatter ~metasenv ~subst ~context:[] bo;
+ F.fprintf formatter "\n"
;;
-let _ = NCicSubstitution.set_ppterm (ppterm ~margin:80);;
+let ppterm ~context ~subst ~metasenv ?margin ?inside_fix t =
+ on_buffer (ppterm ~context ~subst ~metasenv ?margin ?inside_fix) t
+;;
+
+let ppcontext ?sep ~subst ~metasenv ctx =
+ on_buffer (ppcontext ?sep ~subst ~metasenv) ctx
+;;
+let ppmetasenv ~subst metasenv = on_buffer (ppmetasenv ~subst) metasenv;;
+
+let ppsubst ~metasenv subst = on_buffer (ppsubst ~metasenv) subst;;
+
+let ppobj obj = on_buffer ppobj obj;;
+
+let _ = NCicSubstitution.set_ppterm (ppterm ~margin:80);;