(************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) (* '\'' then str ("'"^s) else str ("' "^s) let pp_tuple_light f = function | [] -> mt () | [x] -> f true x | l -> pp_par true (prlist_with_sep (fun () -> str "," ++ spc ()) (f false) l) let pp_tuple f = function | [] -> mt () | [x] -> f x | l -> pp_par true (prlist_with_sep (fun () -> str "," ++ spc ()) f l) let pp_boxed_tuple f = function | [] -> mt () | [x] -> f x | l -> pp_par true (hov 0 (prlist_with_sep (fun () -> str "," ++ spc ()) f l)) let pp_abst = function | [] -> mt () | l -> str "fun " ++ prlist_with_sep (fun () -> str " ") pr_id l ++ str " ->" ++ spc () let pp_apply st par args = match args with | [] -> st | _ -> hov 2 (pp_par par (st ++ spc () ++ prlist_with_sep spc identity args)) let pr_binding = function | [] -> mt () | l -> str " " ++ prlist_with_sep (fun () -> str " ") pr_id l let space_if = function true -> str " " | false -> mt () let sec_space_if = function true -> spc () | false -> mt () let fnl2 () = fnl () ++ fnl () let pp_parameters l = (pp_boxed_tuple pp_tvar l ++ space_if (l<>[])) let pp_string_parameters l = (pp_boxed_tuple str l ++ space_if (l<>[])) (*s Generic renaming issues. *) let rec rename_id id avoid = if Idset.mem id avoid then rename_id (lift_ident id) avoid else id let lowercase_id id = id_of_string (String.uncapitalize (string_of_id id)) let uppercase_id id = id_of_string (String.capitalize (string_of_id id)) (* [pr_upper_id id] makes 2 String.copy lesser than [pr_id (uppercase_id id)] *) let pr_upper_id id = str (String.capitalize (string_of_id id)) (*s de Bruijn environments for programs *) type env = identifier list * Idset.t let rec rename_vars avoid = function | [] -> [], avoid | id :: idl when id == dummy_name -> (* we don't rename dummy binders *) let (idl', avoid') = rename_vars avoid idl in (id :: idl', avoid') | id :: idl -> let (idl, avoid) = rename_vars avoid idl in let id = rename_id (lowercase_id id) avoid in (id :: idl, Idset.add id avoid) let rename_tvars avoid l = let rec rename avoid = function | [] -> [],avoid | id :: idl -> let id = rename_id (lowercase_id id) avoid in let idl, avoid = rename (Idset.add id avoid) idl in (id :: idl, avoid) in fst (rename avoid l) let push_vars ids (db,avoid) = let ids',avoid' = rename_vars avoid ids in ids', (ids' @ db, avoid') let get_db_name n (db,_) = let id = List.nth db (pred n) in if id = dummy_name then id_of_string "__" else id (*s Ocaml renaming issues. *) let keywords = List.fold_right (fun s -> Idset.add (id_of_string s)) [ "and"; "as"; "assert"; "begin"; "class"; "constraint"; "do"; "done"; "downto"; "else"; "end"; "exception"; "external"; "false"; "for"; "fun"; "function"; "functor"; "if"; "in"; "include"; "inherit"; "initializer"; "lazy"; "let"; "match"; "method"; "module"; "mutable"; "new"; "object"; "of"; "open"; "or"; "parser"; "private"; "rec"; "sig"; "struct"; "then"; "to"; "true"; "try"; "type"; "val"; "virtual"; "when"; "while"; "with"; "mod"; "land"; "lor"; "lxor"; "lsl"; "lsr"; "asr" ; "unit" ; "_" ; "__" ] Idset.empty let preamble _ used_modules (mldummy,tdummy,tunknown) _ = let pp_mp = function | MPfile d -> pr_upper_id (List.hd (repr_dirpath d)) | _ -> assert false in prlist (fun mp -> str "open " ++ pp_mp mp ++ fnl ()) used_modules ++ (if used_modules = [] then mt () else fnl ()) ++ (if tdummy || tunknown then str "type __ = Obj.t" ++ fnl() else mt()) ++ (if mldummy then str "let __ = let rec f _ = Obj.repr f in Obj.repr f" ++ fnl () else mt ()) ++ (if tdummy || tunknown || mldummy then fnl () else mt ()) let preamble_sig _ used_modules (_,tdummy,tunknown) = let pp_mp = function | MPfile d -> pr_upper_id (List.hd (repr_dirpath d)) | _ -> assert false in prlist (fun mp -> str "open " ++ pp_mp mp ++ fnl ()) used_modules ++ (if used_modules = [] then mt () else fnl ()) ++ (if tdummy || tunknown then str "type __ = Obj.t" ++ fnl() ++ fnl () else mt()) (*s The pretty-printing functor. *) module Make = functor(P : Mlpp_param) -> struct let local_mpl = ref ([] : module_path list) let pp_global r = if is_inline_custom r then str (find_custom r) else P.pp_global !local_mpl r let empty_env () = [], P.globals () exception NoRecord let find_projections = function Record l -> l | _ -> raise NoRecord (*s Pretty-printing of types. [par] is a boolean indicating whether parentheses are needed or not. *) let kn_sig = let specif = MPfile (dirpath_of_string "Coq.Init.Specif") in make_kn specif empty_dirpath (mk_label "sig") let rec pp_type par vl t = let rec pp_rec par = function | Tmeta _ | Tvar' _ | Taxiom -> assert false | Tvar i -> (try pp_tvar (List.nth vl (pred i)) with _ -> (str "'a" ++ int i)) | Tglob (r,[]) -> pp_global r | Tglob (r,l) -> if r = IndRef (kn_sig,0) then pp_tuple_light pp_rec l else pp_tuple_light pp_rec l ++ spc () ++ pp_global r | Tarr (t1,t2) -> pp_par par (pp_rec true t1 ++ spc () ++ str "->" ++ spc () ++ pp_rec false t2) | Tdummy _ -> str "__" | Tunknown -> str "__" in hov 0 (pp_rec par t) (*s Pretty-printing of expressions. [par] indicates whether parentheses are needed or not. [env] is the list of names for the de Bruijn variables. [args] is the list of collected arguments (already pretty-printed). *) let expr_needs_par = function | MLlam _ -> true | MLcase (_,_,[|_|]) -> false | MLcase _ -> true | _ -> false let rec pp_expr par env args = let par' = args <> [] || par and apply st = pp_apply st par args in function | MLrel n -> let id = get_db_name n env in apply (pr_id id) | MLapp (f,args') -> let stl = List.map (pp_expr true env []) args' in pp_expr par env (stl @ args) f | MLlam _ as a -> let fl,a' = collect_lams a in let fl,env' = push_vars fl env in let st = (pp_abst (List.rev fl) ++ pp_expr false env' [] a') in apply (pp_par par' st) | MLletin (id,a1,a2) -> let i,env' = push_vars [id] env in let pp_id = pr_id (List.hd i) and pp_a1 = pp_expr false env [] a1 and pp_a2 = pp_expr (not par && expr_needs_par a2) env' [] a2 in hv 0 (apply (pp_par par' (hv 0 (hov 2 (str "let " ++ pp_id ++ str " =" ++ spc () ++ pp_a1) ++ spc () ++ str "in") ++ spc () ++ hov 0 pp_a2))) | MLglob r -> (try let args = list_skipn (projection_arity r) args in let record = List.hd args in pp_apply (record ++ str "." ++ pp_global r) par (List.tl args) with _ -> apply (pp_global r)) | MLcons (Coinductive,r,[]) -> assert (args=[]); pp_par par (str "lazy " ++ pp_global r) | MLcons (Coinductive,r,args') -> assert (args=[]); let tuple = pp_tuple (pp_expr true env []) args' in pp_par par (str "lazy (" ++ pp_global r ++ spc() ++ tuple ++str ")") | MLcons (_,r,[]) -> assert (args=[]); pp_global r | MLcons (Record projs, r, args') -> assert (args=[]); pp_record_pat (projs, List.map (pp_expr true env []) args') | MLcons (_,r,args') -> assert (args=[]); let tuple = pp_tuple (pp_expr true env []) args' in pp_par par (pp_global r ++ spc () ++ tuple) | MLcase (i, t, pv) -> let expr = if i = Coinductive then (str "Lazy.force" ++ spc () ++ pp_expr true env [] t) else (pp_expr false env [] t) in (try let projs = find_projections i in let (_, ids, c) = pv.(0) in let n = List.length ids in match c with | MLrel i when i <= n -> apply (pp_par par' (pp_expr true env [] t ++ str "." ++ pp_global (List.nth projs (n-i)))) | MLapp (MLrel i, a) when i <= n -> if List.exists (ast_occurs_itvl 1 n) a then raise NoRecord else let ids,env' = push_vars (List.rev ids) env in (pp_apply (pp_expr true env [] t ++ str "." ++ pp_global (List.nth projs (n-i))) par ((List.map (pp_expr true env' []) a) @ args)) | _ -> raise NoRecord with NoRecord -> if Array.length pv = 1 then let s1,s2 = pp_one_pat env i pv.(0) in apply (hv 0 (pp_par par' (hv 0 (hov 2 (str "let " ++ s1 ++ str " =" ++ spc () ++ expr) ++ spc () ++ str "in") ++ spc () ++ hov 0 s2))) else apply (pp_par par' (v 0 (str "match " ++ expr ++ str " with" ++ fnl () ++ str " | " ++ pp_pat env i pv)))) | MLfix (i,ids,defs) -> let ids',env' = push_vars (List.rev (Array.to_list ids)) env in pp_fix par env' i (Array.of_list (List.rev ids'),defs) args | MLexn s -> (* An [MLexn] may be applied, but I don't really care. *) pp_par par (str "assert false" ++ spc () ++ str ("(* "^s^" *)")) | MLdummy -> str "__" (* An [MLdummy] may be applied, but I don't really care. *) | MLmagic a -> pp_apply (str "Obj.magic") par (pp_expr true env [] a :: args) | MLaxiom -> pp_par par (str "failwith \"AXIOM TO BE REALIZED\"") and pp_record_pat (projs, args) = str "{ " ++ prlist_with_sep (fun () -> str ";" ++ spc ()) (fun (r,a) -> pp_global r ++ str " =" ++ spc () ++ a) (List.combine projs args) ++ str " }" and pp_one_pat env i (r,ids,t) = let ids,env' = push_vars (List.rev ids) env in let expr = pp_expr (expr_needs_par t) env' [] t in try let projs = find_projections i in pp_record_pat (projs, List.rev_map pr_id ids), expr with NoRecord -> let args = if ids = [] then (mt ()) else str " " ++ pp_boxed_tuple pr_id (List.rev ids) in pp_global r ++ args, expr and pp_pat env i pv = prvect_with_sep (fun () -> (fnl () ++ str " | ")) (fun x -> let s1,s2 = pp_one_pat env i x in hov 2 (s1 ++ str " ->" ++ spc () ++ s2)) pv and pp_function env f t = let bl,t' = collect_lams t in let bl,env' = push_vars bl env in match t' with | MLcase(i,MLrel 1,pv) when i=Standard -> if not (ast_occurs 1 (MLcase(i,MLdummy,pv))) then (f ++ pr_binding (List.rev (List.tl bl)) ++ str " = function" ++ fnl () ++ v 0 (str " | " ++ pp_pat env' i pv)) else (f ++ pr_binding (List.rev bl) ++ str " = match " ++ pr_id (List.hd bl) ++ str " with" ++ fnl () ++ v 0 (str " | " ++ pp_pat env' i pv)) | _ -> (f ++ pr_binding (List.rev bl) ++ str " =" ++ fnl () ++ str " " ++ hov 2 (pp_expr false env' [] t')) (*s names of the functions ([ids]) are already pushed in [env], and passed here just for convenience. *) and pp_fix par env i (ids,bl) args = pp_par par (v 0 (str "let rec " ++ prvect_with_sep (fun () -> fnl () ++ str "and ") (fun (fi,ti) -> pp_function env (pr_id fi) ti) (array_map2 (fun id b -> (id,b)) ids bl) ++ fnl () ++ hov 2 (str "in " ++ pp_apply (pr_id ids.(i)) false args))) let pp_val e typ = str "(** val " ++ e ++ str " : " ++ pp_type false [] typ ++ str " **)" ++ fnl2 () (*s Pretty-printing of [Dfix] *) let rec pp_Dfix init i ((rv,c,t) as fix) = if i >= Array.length rv then mt () else if is_inline_custom rv.(i) then pp_Dfix init (i+1) fix else let e = pp_global rv.(i) in (if init then mt () else fnl2 ()) ++ pp_val e t.(i) ++ str (if init then "let rec " else "and ") ++ (if is_custom rv.(i) then e ++ str " = " ++ str (find_custom rv.(i)) else pp_function (empty_env ()) e c.(i)) ++ pp_Dfix false (i+1) fix (*s Pretty-printing of inductive types declaration. *) let pp_one_ind prefix ip pl cv = let pl = rename_tvars keywords pl in let pp_constructor (r,l) = hov 2 (str " | " ++ pp_global r ++ match l with | [] -> mt () | _ -> (str " of " ++ prlist_with_sep (fun () -> spc () ++ str "* ") (pp_type true pl) l)) in pp_parameters pl ++ str prefix ++ pp_global (IndRef ip) ++ str " =" ++ if Array.length cv = 0 then str " unit (* empty inductive *)" else fnl () ++ v 0 (prvect_with_sep fnl pp_constructor (Array.mapi (fun i c -> ConstructRef (ip,i+1), c) cv)) let pp_comment s = str "(* " ++ s ++ str " *)" let pp_logical_ind packet = pp_comment (pr_id packet.ip_typename ++ str " : logical inductive") ++ fnl () ++ pp_comment (str "with constructors : " ++ prvect_with_sep spc pr_id packet.ip_consnames) let pp_singleton kn packet = let l = rename_tvars keywords packet.ip_vars in hov 2 (str "type " ++ pp_parameters l ++ pp_global (IndRef (kn,0)) ++ str " =" ++ spc () ++ pp_type false l (List.hd packet.ip_types.(0)) ++ fnl () ++ pp_comment (str "singleton inductive, whose constructor was " ++ pr_id packet.ip_consnames.(0))) let pp_record kn projs packet = let l = List.combine projs packet.ip_types.(0) in let pl = rename_tvars keywords packet.ip_vars in str "type " ++ pp_parameters pl ++ pp_global (IndRef (kn,0)) ++ str " = { "++ hov 0 (prlist_with_sep (fun () -> str ";" ++ spc ()) (fun (r,t) -> pp_global r ++ str " : " ++ pp_type true pl t) l) ++ str " }" let pp_coind ip pl = let r = IndRef ip in let pl = rename_tvars keywords pl in pp_parameters pl ++ pp_global r ++ str " = " ++ pp_parameters pl ++ str "__" ++ pp_global r ++ str " Lazy.t" let pp_ind co kn ind = let some = ref false in let init= ref (str "type ") in let rec pp i = if i >= Array.length ind.ind_packets then mt () else let ip = (kn,i) in let p = ind.ind_packets.(i) in if is_custom (IndRef (kn,i)) then pp (i+1) else begin some := true; if p.ip_logical then pp_logical_ind p ++ pp (i+1) else let s = !init in begin init := (fnl () ++ str "and "); s ++ (if co then pp_coind ip p.ip_vars ++ fnl () ++ str "and " else mt ()) ++ pp_one_ind (if co then "__" else "") ip p.ip_vars p.ip_types ++ pp (i+1) end end in let st = pp 0 in if !some then st else failwith "empty phrase" (*s Pretty-printing of a declaration. *) let pp_mind kn i = match i.ind_info with | Singleton -> pp_singleton kn i.ind_packets.(0) | Coinductive -> pp_ind true kn i | Record projs -> pp_record kn projs i.ind_packets.(0) | Standard -> pp_ind false kn i let pp_decl mpl = local_mpl := mpl; function | Dind (kn,i) -> pp_mind kn i | Dtype (r, l, t) -> if is_inline_custom r then failwith "empty phrase" else let pp_r = pp_global r in let l = rename_tvars keywords l in let ids, def = try let ids,s = find_type_custom r in pp_string_parameters ids, str "=" ++ spc () ++ str s with not_found -> pp_parameters l, if t = Taxiom then str "(* AXIOM TO BE REALIZED *)" else str "=" ++ spc () ++ pp_type false l t in hov 2 (str "type" ++ spc () ++ ids ++ pp_r ++ spc () ++ def) | Dterm (r, a, t) -> if is_inline_custom r then failwith "empty phrase" else let e = pp_global r in pp_val e t ++ hov 0 (str "let " ++ if is_custom r then e ++ str " = " ++ str (find_custom r) else if is_projection r then let s = prvecti (fun _ -> str) (Array.make (projection_arity r) " _") in e ++ s ++ str " x = x." ++ e else pp_function (empty_env ()) e a) | Dfix (rv,defs,typs) -> pp_Dfix true 0 (rv,defs,typs) let pp_spec mpl = local_mpl := mpl; function | Sind (kn,i) -> pp_mind kn i | Sval (r,t) -> if is_inline_custom r then failwith "empty phrase" else hov 2 (str "val" ++ spc () ++ pp_global r ++ str " :" ++ spc () ++ pp_type false [] t) | Stype (r,vl,ot) -> if is_inline_custom r then failwith "empty phrase" else let l = rename_tvars keywords vl in let ids, def = try let ids, s = find_type_custom r in pp_string_parameters ids, str "= " ++ str s with not_found -> let ids = pp_parameters l in match ot with | None -> ids, mt () | Some Taxiom -> ids, str "(* AXIOM TO BE REALIZED *)" | Some t -> ids, str "=" ++ spc () ++ pp_type false l t in hov 2 (str "type" ++ spc () ++ ids ++ pp_global r ++ spc () ++ def) let rec pp_specif mpl = function | (_,Spec s) -> pp_spec mpl s | (l,Smodule mt) -> hov 1 (str "module " ++ P.pp_module mpl (MPdot (List.hd mpl, l)) ++ str " : " ++ fnl () ++ pp_module_type mpl None (* (Some l) *) mt) | (l,Smodtype mt) -> hov 1 (str "module type " ++ P.pp_module mpl (MPdot (List.hd mpl, l)) ++ str " = " ++ fnl () ++ pp_module_type mpl None mt) and pp_module_type mpl ol = function | MTident kn -> let mp,_,l = repr_kn kn in P.pp_module mpl (MPdot (mp,l)) | MTfunsig (mbid, mt, mt') -> str "functor (" ++ P.pp_module mpl (MPbound mbid) ++ str ":" ++ pp_module_type mpl None mt ++ str ") ->" ++ fnl () ++ pp_module_type mpl None mt' | MTsig (msid, sign) -> let mpl = match ol, mpl with | None, _ -> (MPself msid) :: mpl | Some l, mp :: mpl -> (MPdot (mp,l)) :: mpl | _ -> assert false in let l = map_succeed (pp_specif mpl) sign in str "sig " ++ fnl () ++ v 1 (str " " ++ prlist_with_sep fnl2 identity l) ++ fnl () ++ str "end" let is_short = function MEident _ | MEapply _ -> true | _ -> false let rec pp_structure_elem mpl = function | (_,SEdecl d) -> pp_decl mpl d | (l,SEmodule m) -> hov 1 (str "module " ++ P.pp_module mpl (MPdot (List.hd mpl, l)) ++ (* if you want signatures everywhere: *) (*i str " :" ++ fnl () ++ i*) (*i pp_module_type mpl None m.ml_mod_type ++ fnl () ++ i*) str " = " ++ (if (is_short m.ml_mod_expr) then mt () else fnl ()) ++ pp_module_expr mpl (Some l) m.ml_mod_expr) | (l,SEmodtype m) -> hov 1 (str "module type " ++ P.pp_module mpl (MPdot (List.hd mpl, l)) ++ str " = " ++ fnl () ++ pp_module_type mpl None m) and pp_module_expr mpl ol = function | MEident mp' -> P.pp_module mpl mp' | MEfunctor (mbid, mt, me) -> str "functor (" ++ P.pp_module mpl (MPbound mbid) ++ str ":" ++ pp_module_type mpl None mt ++ str ") ->" ++ fnl () ++ pp_module_expr mpl None me | MEapply (me, me') -> pp_module_expr mpl None me ++ str "(" ++ pp_module_expr mpl None me' ++ str ")" | MEstruct (msid, sel) -> let mpl = match ol, mpl with | None, _ -> (MPself msid) :: mpl | Some l, mp :: mpl -> (MPdot (mp,l)) :: mpl | _ -> assert false in let l = map_succeed (pp_structure_elem mpl) sel in str "struct " ++ fnl () ++ v 1 (str " " ++ prlist_with_sep fnl2 identity l) ++ fnl () ++ str "end" let pp_struct s = let pp mp s = pp_structure_elem [mp] s ++ fnl2 () in prlist (fun (mp,sel) -> prlist identity (map_succeed (pp mp) sel)) s let pp_signature s = let pp mp s = pp_specif [mp] s ++ fnl2 () in prlist (fun (mp,sign) -> prlist identity (map_succeed (pp mp) sign)) s let pp_decl mpl d = try pp_decl mpl d with Failure "empty phrase" -> mt () end