(* ||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_______________________________________________________________ *) (* $Id$ *) module C = NCic module R = NReference let r2s pp_fix_name r = try match r with | R.Ref (u,R.Ind (_,i,_)) -> (match NCicLibrary.get_obj u with | _,_,_,_, C.Inductive (_,_,itl,_) -> let _,name,_,_ = List.nth itl i in name | _ -> assert false) | R.Ref (u,R.Con (i,j,_)) -> (match NCicLibrary.get_obj u with | _,_,_,_, C.Inductive (_,_,itl,_) -> let _,_,_,cl = List.nth itl i in let _,name,_ = List.nth cl (j-1) in name | _ -> assert false) | R.Ref (u,(R.Decl | R.Def _)) -> (match NCicLibrary.get_obj u with | _,_,_,_, C.Constant (_,name,_,_,_) -> name | _ -> assert false) | R.Ref (u,(R.Fix (i,_,_)|R.CoFix i)) -> (match NCicLibrary.get_obj u with | _,_,_,_, C.Fixpoint (_,fl,_) -> if pp_fix_name then let _,name,_,_,_ = List.nth fl i in name else NUri.name_of_uri u ^"("^ string_of_int i ^ ")" | _ -> assert false) with NCicLibrary.ObjectNotFound _ -> R.string_of_reference r ;; let string_of_implicit_annotation = function | `Closed -> "▪" | `Type -> "" | `Hole -> "□" | `Term -> "Term" | `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 "@["; (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 "@["; F.fprintf f "@[∀%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 "@["; 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 "@["; 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 "@[match "; aux ~toplevel:true ctx t; F.fprintf f "@;return "; aux ~toplevel:true ctx oty; F.fprintf f "@; @[[ "; if pl <> [] then begin F.fprintf f "@[%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 "@;| @[%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 l -> F.fprintf f "@["; 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 "@?"; Buffer.contents buff ;; let ppobj = function | (u,_,metasenv,subst,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) | (u,_,metasenv,subst,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) ^ "." | (u,_,metasenv,subst,NCic.Constant (_,name,None,ty, _)) -> "{"^NUri.string_of_uri u^"}\n"^ "axiom " ^ name ^ " : " ^ ppterm ~metasenv ~subst ~context:[] ty ^ "\n" | (u,_,metasenv,subst,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" ;; let rec ppcontext ?(sep="\n") ~subst ~metasenv = function | [] -> "" | (name, NCic.Decl t) :: tl -> ppcontext ~sep ~subst ~metasenv tl ^ name ^ ": " ^ ppterm ~subst ~metasenv ~context:tl t ^ 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 ;; let rec ppmetasenv ~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 ;; let ppmetasenv ~subst metasenv = ppmetasenv ~subst metasenv metasenv;; let rec ppsubst ~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 ;; let ppsubst ~metasenv subst = ppsubst ~metasenv ~subst subst;; let _ = NCicSubstitution.set_ppterm ppterm;;