(************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) (* str"," ++ spc() let pr_tight_coma () = str "," ++ cut () let latom = 0 let lprod = 200 let llambda = 200 let lif = 200 let lletin = 200 let lletpattern = 200 let lfix = 200 let larrow = 90 let lcast = 100 let larg = 9 let lapp = 10 let lposint = 0 let lnegint = 35 (* must be consistent with Notation "- x" *) let ltop = (200,E) let lproj = 1 let lsimple = (1,E) let prec_less child (parent,assoc) = if parent < 0 && child = lprod then true else let parent = abs parent in match assoc with | E -> (<=) child parent | L -> (<) child parent | Prec n -> child<=n | Any -> true let prec_of_prim_token = function | Numeral p -> if Bigint.is_pos_or_zero p then lposint else lnegint | String _ -> latom open Notation let print_hunks n pr pr_binders (terms,termlists,binders) unp = let env = ref terms and envlist = ref termlists and bll = ref binders in let pop r = let a = List.hd !r in r := List.tl !r; a in let rec aux = function | [] -> mt () | UnpMetaVar (_,prec) :: l -> let c = pop env in pr (n,prec) c ++ aux l | UnpListMetaVar (_,prec,sl) :: l -> let cl = pop envlist in let pp1 = prlist_with_sep (fun () -> aux sl) (pr (n,prec)) cl in let pp2 = aux l in pp1 ++ pp2 | UnpBinderListMetaVar (_,isopen,sl) :: l -> let cl = pop bll in pr_binders (fun () -> aux sl) isopen cl ++ aux l | UnpTerminal s :: l -> str s ++ aux l | UnpBox (b,sub) :: l -> (* Keep order: side-effects *) let pp1 = ppcmd_of_box b (aux sub) in let pp2 = aux l in pp1 ++ pp2 | UnpCut cut :: l -> ppcmd_of_cut cut ++ aux l in aux unp let pr_notation pr pr_binders s env = let unpl, level = find_notation_printing_rule s in print_hunks level pr pr_binders env unpl, level let pr_delimiters key strm = strm ++ str ("%"^key) let pr_generalization bk ak c = let hd, tl = match bk with | Implicit -> "{", "}" | Explicit -> "(", ")" in (* TODO: syntax Abstraction Kind *) str "`" ++ str hd ++ c ++ str tl let pr_com_at n = if Flags.do_beautify() && n <> 0 then comment n else mt() let pr_with_comments loc pp = pr_located (fun x -> x) (loc,pp) let pr_sep_com sep f c = pr_with_comments (constr_loc c) (sep() ++ f c) let pr_in_comment pr x = str "(* " ++ pr x ++ str " *)" let pr_universe = Univ.pr_uni let pr_glob_sort = function | GProp Term.Null -> str "Prop" | GProp Term.Pos -> str "Set" | GType u -> hov 0 (str "Type" ++ pr_opt (pr_in_comment pr_universe) u) let pr_id = pr_id let pr_name = pr_name let pr_qualid = pr_qualid let pr_patvar = pr_id let pr_expl_args pr (a,expl) = match expl with | None -> pr (lapp,L) a | Some (_,ExplByPos (n,_id)) -> anomaly("Explicitation by position not implemented") | Some (_,ExplByName id) -> str "(" ++ pr_id id ++ str ":=" ++ pr ltop a ++ str ")" let pr_opt_type pr = function | CHole _ -> mt () | t -> cut () ++ str ":" ++ pr t let pr_opt_type_spc pr = function | CHole _ -> mt () | t -> str " :" ++ pr_sep_com (fun()->brk(1,2)) (pr ltop) t let pr_lident (loc,id) = if loc <> dummy_loc then let (b,_) = unloc loc in pr_located pr_id (make_loc (b,b+String.length(string_of_id id)),id) else pr_id id let pr_lname = function (loc,Name id) -> pr_lident (loc,id) | lna -> pr_located pr_name lna let pr_or_var pr = function | ArgArg x -> pr x | ArgVar (loc,s) -> pr_lident (loc,s) let pr_prim_token = function | Numeral n -> Bigint.pr_bigint n | String s -> qs s let pr_evar pr n l = hov 0 (str (Evd.string_of_existential n) ++ (match l with | Some l -> spc () ++ pr_in_comment (fun l -> str"[" ++ hov 0 (prlist_with_sep pr_comma (pr ltop) l) ++ str"]") (List.rev l) | None -> mt())) let las = lapp let lpator = 100 let lpatrec = 0 let rec pr_patt sep inh p = let (strm,prec) = match p with | CPatRecord (_, l) -> let pp (c, p) = pr_reference c ++ spc() ++ str ":=" ++ pr_patt spc (lpatrec, Any) p in str "{| " ++ prlist_with_sep pr_semicolon pp l ++ str " |}", lpatrec | CPatAlias (_,p,id) -> pr_patt mt (las,E) p ++ str " as " ++ pr_id id, las | CPatCstr (_,c,[]) -> pr_reference c, latom | CPatCstr (_,c,args) -> pr_reference c ++ prlist (pr_patt spc (lapp,L)) args, lapp | CPatCstrExpl (_,c,args) -> str "@" ++ pr_reference c ++ prlist (pr_patt spc (lapp,L)) args, lapp | CPatAtom (_,None) -> str "_", latom | CPatAtom (_,Some r) -> pr_reference r, latom | CPatOr (_,pl) -> hov 0 (prlist_with_sep pr_bar (pr_patt spc (lpator,L)) pl), lpator | CPatNotation (_,"( _ )",([p],[])) -> pr_patt (fun()->str"(") (max_int,E) p ++ str")", latom | CPatNotation (_,s,(l,ll)) -> pr_notation (pr_patt mt) (fun _ _ _ -> mt()) s (l,ll,[]) | CPatPrim (_,p) -> pr_prim_token p, latom | CPatDelimiters (_,k,p) -> pr_delimiters k (pr_patt mt lsimple p), 1 in let loc = cases_pattern_expr_loc p in pr_with_comments loc (sep() ++ if prec_less prec inh then strm else surround strm) let pr_patt = pr_patt mt let pr_eqn pr (loc,pl,rhs) = let pl = List.map snd pl in spc() ++ hov 4 (pr_with_comments loc (str "| " ++ hov 0 (prlist_with_sep pr_bar (prlist_with_sep sep_v (pr_patt ltop)) pl ++ str " =>") ++ pr_sep_com spc (pr ltop) rhs)) let begin_of_binder = function LocalRawDef((loc,_),_) -> fst (unloc loc) | LocalRawAssum((loc,_)::_,_,_) -> fst (unloc loc) | _ -> assert false let begin_of_binders = function | b::_ -> begin_of_binder b | _ -> 0 let surround_impl k p = match k with | Explicit -> str"(" ++ p ++ str")" | Implicit -> str"{" ++ p ++ str"}" let surround_binder k p = match k with | Default b -> hov 1 (surround_impl b p) | Generalized (b, b', t) -> hov 1 (surround_impl b' (surround_impl b p)) let surround_implicit k p = match k with | Default Explicit -> p | Default Implicit -> (str"{" ++ p ++ str"}") | Generalized (b, b', t) -> surround_impl b' (surround_impl b p) let pr_binder many pr (nal,k,t) = match t with | CHole _ -> prlist_with_sep spc pr_lname nal | _ -> let s = prlist_with_sep spc pr_lname nal ++ str" : " ++ pr t in hov 1 (if many then surround_binder k s else surround_implicit k s) let pr_binder_among_many pr_c = function | LocalRawAssum (nal,k,t) -> pr_binder true pr_c (nal,k,t) | LocalRawDef (na,c) -> let c,topt = match c with | CCast(_,c, CastConv (_,t)) -> c, t | _ -> c, CHole (dummy_loc, None) in surround (pr_lname na ++ pr_opt_type pr_c topt ++ str":=" ++ cut() ++ pr_c c) let pr_undelimited_binders sep pr_c = prlist_with_sep sep (pr_binder_among_many pr_c) let pr_delimited_binders kw sep pr_c bl = let n = begin_of_binders bl in match bl with | [LocalRawAssum (nal,k,t)] -> pr_com_at n ++ kw() ++ pr_binder false pr_c (nal,k,t) | LocalRawAssum _ :: _ as bdl -> pr_com_at n ++ kw() ++ pr_undelimited_binders sep pr_c bdl | _ -> assert false let pr_binders_gen pr_c sep is_open = if is_open then pr_delimited_binders mt sep pr_c else pr_undelimited_binders sep pr_c let rec extract_prod_binders = function (* | CLetIn (loc,na,b,c) as x -> let bl,c = extract_prod_binders c in if bl = [] then [], x else LocalRawDef (na,b) :: bl, c*) | CProdN (loc,[],c) -> extract_prod_binders c | CProdN (loc,(nal,bk,t)::bl,c) -> let bl,c = extract_prod_binders (CProdN(loc,bl,c)) in LocalRawAssum (nal,bk,t) :: bl, c | c -> [], c let rec extract_lam_binders = function (* | CLetIn (loc,na,b,c) as x -> let bl,c = extract_lam_binders c in if bl = [] then [], x else LocalRawDef (na,b) :: bl, c*) | CLambdaN (loc,[],c) -> extract_lam_binders c | CLambdaN (loc,(nal,bk,t)::bl,c) -> let bl,c = extract_lam_binders (CLambdaN(loc,bl,c)) in LocalRawAssum (nal,bk,t) :: bl, c | c -> [], c let split_lambda = function | CLambdaN (loc,[[na],bk,t],c) -> (na,t,c) | CLambdaN (loc,([na],bk,t)::bl,c) -> (na,t,CLambdaN(loc,bl,c)) | CLambdaN (loc,(na::nal,bk,t)::bl,c) -> (na,t,CLambdaN(loc,(nal,bk,t)::bl,c)) | _ -> anomaly "ill-formed fixpoint body" let rename na na' t c = match (na,na') with | (_,Name id), (_,Name id') -> (na',t,replace_vars_constr_expr [id,id'] c) | (_,Name id), (_,Anonymous) -> (na,t,c) | _ -> (na',t,c) let split_product na' = function | CArrow (loc,t,c) -> (na',t,c) | CProdN (loc,[[na],bk,t],c) -> rename na na' t c | CProdN (loc,([na],bk,t)::bl,c) -> rename na na' t (CProdN(loc,bl,c)) | CProdN (loc,(na::nal,bk,t)::bl,c) -> rename na na' t (CProdN(loc,(nal,bk,t)::bl,c)) | _ -> anomaly "ill-formed fixpoint body" let rec split_fix n typ def = if n = 0 then ([],typ,def) else let (na,_,def) = split_lambda def in let (na,t,typ) = split_product na typ in let (bl,typ,def) = split_fix (n-1) typ def in (LocalRawAssum ([na],default_binder_kind,t)::bl,typ,def) let pr_recursive_decl pr pr_dangling dangling_with_for id bl annot t c = let pr_body = if dangling_with_for then pr_dangling else pr in pr_id id ++ str" " ++ hov 0 (pr_undelimited_binders spc (pr ltop) bl ++ annot) ++ pr_opt_type_spc pr t ++ str " :=" ++ pr_sep_com (fun () -> brk(1,2)) (pr_body ltop) c let pr_fixdecl pr prd dangling_with_for ((_,id),(n,ro),bl,t,c) = let annot = match ro with CStructRec -> if List.length bl > 1 && n <> None then spc() ++ str "{struct " ++ pr_id (snd (Option.get n)) ++ str"}" else mt() | CWfRec c -> spc () ++ str "{wf " ++ pr lsimple c ++ pr_id (snd (Option.get n)) ++ str"}" | CMeasureRec (m,r) -> spc () ++ str "{measure " ++ pr lsimple m ++ pr_id (snd (Option.get n)) ++ (match r with None -> mt() | Some r -> str" on " ++ pr lsimple r) ++ str"}" in pr_recursive_decl pr prd dangling_with_for id bl annot t c let pr_cofixdecl pr prd dangling_with_for ((_,id),bl,t,c) = pr_recursive_decl pr prd dangling_with_for id bl (mt()) t c let pr_recursive pr_decl id = function | [] -> anomaly "(co)fixpoint with no definition" | [d1] -> pr_decl false d1 | dl -> prlist_with_sep (fun () -> fnl() ++ str "with ") (pr_decl true) dl ++ fnl() ++ str "for " ++ pr_id id let pr_asin pr (na,indnalopt) = (match na with (* Decision of printing "_" or not moved to constrextern.ml *) | Some na -> spc () ++ str "as " ++ pr_lname na | None -> mt ()) ++ (match indnalopt with | None -> mt () | Some t -> spc () ++ str "in " ++ pr lsimple t) let pr_case_item pr (tm,asin) = hov 0 (pr (lcast,E) tm ++ pr_asin pr asin) let pr_case_type pr po = match po with | None | Some (CHole _) -> mt() | Some p -> spc() ++ hov 2 (str "return" ++ pr_sep_com spc (pr lsimple) p) let pr_simple_return_type pr na po = (match na with | Some (_,Name id) -> spc () ++ str "as " ++ pr_id id | _ -> mt ()) ++ pr_case_type pr po let pr_proj pr pr_app a f l = hov 0 (pr lsimple a ++ cut() ++ str ".(" ++ pr_app pr f l ++ str ")") let pr_appexpl pr f l = hov 2 ( str "@" ++ pr_reference f ++ prlist (pr_sep_com spc (pr (lapp,L))) l) let pr_app pr a l = hov 2 ( pr (lapp,L) a ++ prlist (fun a -> spc () ++ pr_expl_args pr a) l) let pr_forall () = str"forall" ++ spc () let pr_fun () = str"fun" ++ spc () let pr_fun_sep = str " =>" let pr_dangling_with_for sep pr inherited a = match a with | (CFix (_,_,[_])|CCoFix(_,_,[_])) -> pr sep (latom,E) a | _ -> pr sep inherited a let pr pr sep inherited a = let (strm,prec) = match a with | CRef r -> pr_reference r, latom | CFix (_,id,fix) -> hov 0 (str"fix " ++ pr_recursive (pr_fixdecl (pr mt) (pr_dangling_with_for mt pr)) (snd id) fix), lfix | CCoFix (_,id,cofix) -> hov 0 (str "cofix " ++ pr_recursive (pr_cofixdecl (pr mt) (pr_dangling_with_for mt pr)) (snd id) cofix), lfix | CArrow (_,a,b) -> hov 0 (pr mt (larrow,L) a ++ str " ->" ++ pr (fun () ->brk(1,0)) (-larrow,E) b), larrow | CProdN _ -> let (bl,a) = extract_prod_binders a in hov 0 ( hov 2 (pr_delimited_binders pr_forall spc (pr mt ltop) bl) ++ str "," ++ pr spc ltop a), lprod | CLambdaN _ -> let (bl,a) = extract_lam_binders a in hov 0 ( hov 2 (pr_delimited_binders pr_fun spc (pr mt ltop) bl) ++ pr_fun_sep ++ pr spc ltop a), llambda | CLetIn (_,(_,Name x),(CFix(_,(_,x'),[_])|CCoFix(_,(_,x'),[_]) as fx), b) when x=x' -> hv 0 ( hov 2 (str "let " ++ pr mt ltop fx ++ str " in") ++ pr spc ltop b), lletin | CLetIn (_,x,a,b) -> hv 0 ( hov 2 (str "let " ++ pr_lname x ++ str " :=" ++ pr spc ltop a ++ str " in") ++ pr spc ltop b), lletin | CAppExpl (_,(Some i,f),l) -> let l1,l2 = list_chop i l in let c,l1 = list_sep_last l1 in let p = pr_proj (pr mt) pr_appexpl c f l1 in if l2<>[] then p ++ prlist (pr spc (lapp,L)) l2, lapp else p, lproj | CAppExpl (_,(None,Ident (_,var)),[t]) | CApp (_,(_,CRef(Ident(_,var))),[t,None]) when var = Topconstr.ldots_var -> hov 0 (str ".." ++ pr spc (latom,E) t ++ spc () ++ str ".."), larg | CAppExpl (_,(None,f),l) -> pr_appexpl (pr mt) f l, lapp | CApp (_,(Some i,f),l) -> let l1,l2 = list_chop i l in let c,l1 = list_sep_last l1 in assert (snd c = None); let p = pr_proj (pr mt) pr_app (fst c) f l1 in if l2<>[] then p ++ prlist (fun a -> spc () ++ pr_expl_args (pr mt) a) l2, lapp else p, lproj | CApp (_,(None,a),l) -> pr_app (pr mt) a l, lapp | CRecord (_,w,l) -> let beg = match w with | None -> spc () | Some t -> spc () ++ pr spc ltop t ++ spc () ++ str"with" ++ spc () in hv 0 (str"{|" ++ beg ++ prlist_with_sep pr_semicolon (fun (id, c) -> h 1 (pr_reference id ++ spc () ++ str":=" ++ pr spc ltop c)) l ++ str" |}"), latom | CCases (_,LetPatternStyle,rtntypopt,[c,asin],[(_,[(loc,[p])],b)]) -> hv 0 ( str "let '" ++ hov 0 (pr_patt ltop p ++ pr_asin (pr_dangling_with_for mt pr) asin ++ str " :=" ++ pr spc ltop c ++ pr_case_type (pr_dangling_with_for mt pr) rtntypopt ++ str " in" ++ pr spc ltop b)), lletpattern | CCases(_,_,rtntypopt,c,eqns) -> v 0 (hv 0 (str "match" ++ brk (1,2) ++ hov 0 ( prlist_with_sep sep_v (pr_case_item (pr_dangling_with_for mt pr)) c ++ pr_case_type (pr_dangling_with_for mt pr) rtntypopt) ++ spc () ++ str "with") ++ prlist (pr_eqn (pr mt)) eqns ++ spc() ++ str "end"), latom | CLetTuple (_,nal,(na,po),c,b) -> hv 0 ( str "let " ++ hov 0 (str "(" ++ prlist_with_sep sep_v pr_lname nal ++ str ")" ++ pr_simple_return_type (pr mt) na po ++ str " :=" ++ pr spc ltop c ++ str " in") ++ pr spc ltop b), lletin | CIf (_,c,(na,po),b1,b2) -> (* On force les parenthèses autour d'un "if" sous-terme (même si le parsing est lui plus tolérant) *) hv 0 ( hov 1 (str "if " ++ pr mt ltop c ++ pr_simple_return_type (pr mt) na po) ++ spc () ++ hov 0 (str "then" ++ pr (fun () -> brk (1,1)) ltop b1) ++ spc () ++ hov 0 (str "else" ++ pr (fun () -> brk (1,1)) ltop b2)), lif | CHole _ -> str "_", latom | CEvar (_,n,l) -> pr_evar (pr mt) n l, latom | CPatVar (_,(_,p)) -> str "?" ++ pr_patvar p, latom | CSort (_,s) -> pr_glob_sort s, latom | CCast (_,a,CastConv (k,b)) -> let s = match k with VMcast -> "<:" | DEFAULTcast -> ":" in hv 0 (pr mt (lcast,L) a ++ cut () ++ str s ++ pr mt (-lcast,E) b), lcast | CCast (_,a,CastCoerce) -> hv 0 (pr mt (lcast,L) a ++ cut () ++ str ":>"), lcast | CNotation (_,"( _ )",([t],[],[])) -> pr (fun()->str"(") (max_int,L) t ++ str")", latom | CNotation (_,s,env) -> pr_notation (pr mt) (pr_binders_gen (pr mt ltop)) s env | CGeneralization (_,bk,ak,c) -> pr_generalization bk ak (pr mt lsimple c), latom | CPrim (_,p) -> pr_prim_token p, prec_of_prim_token p | CDelimiters (_,sc,a) -> pr_delimiters sc (pr mt lsimple a), 1 | CDynamic _ -> str "", latom in let loc = constr_loc a in pr_with_comments loc (sep() ++ if prec_less prec inherited then strm else surround strm) type term_pr = { pr_constr_expr : constr_expr -> std_ppcmds; pr_lconstr_expr : constr_expr -> std_ppcmds; pr_constr_pattern_expr : constr_pattern_expr -> std_ppcmds; pr_lconstr_pattern_expr : constr_pattern_expr -> std_ppcmds } type precedence = Ppextend.precedence * Ppextend.parenRelation let modular_constr_pr = pr let rec fix rf x =rf (fix rf) x let pr = fix modular_constr_pr mt let default_term_pr = { pr_constr_expr = pr lsimple; pr_lconstr_expr = pr ltop; pr_constr_pattern_expr = pr lsimple; pr_lconstr_pattern_expr = pr ltop } let term_pr = ref default_term_pr let set_term_pr = (:=) term_pr let pr_constr_expr c = !term_pr.pr_constr_expr c let pr_lconstr_expr c = !term_pr.pr_lconstr_expr c let pr_constr_pattern_expr c = !term_pr.pr_constr_pattern_expr c let pr_lconstr_pattern_expr c = !term_pr.pr_lconstr_pattern_expr c let pr_cases_pattern_expr = pr_patt ltop let pr_binders = pr_undelimited_binders spc (pr ltop) let pr_with_occurrences pr occs = match occs with ((false,[]),c) -> pr c | ((nowhere_except_in,nl),c) -> hov 1 (pr c ++ spc() ++ str"at " ++ (if nowhere_except_in then mt() else str "- ") ++ hov 0 (prlist_with_sep spc (pr_or_var int) nl)) let pr_red_flag pr r = (if r.rBeta then pr_arg str "beta" else mt ()) ++ (if r.rIota then pr_arg str "iota" else mt ()) ++ (if r.rZeta then pr_arg str "zeta" else mt ()) ++ (if r.rConst = [] then if r.rDelta then pr_arg str "delta" else mt () else pr_arg str "delta " ++ (if r.rDelta then str "-" else mt ()) ++ hov 0 (str "[" ++ prlist_with_sep spc pr r.rConst ++ str "]")) open Genarg let pr_metaid id = str"?" ++ pr_id id let pr_red_expr (pr_constr,pr_lconstr,pr_ref,pr_pattern) = function | Red false -> str "red" | Hnf -> str "hnf" | Simpl o -> str "simpl" ++ pr_opt (pr_with_occurrences pr_pattern) o | Cbv f -> if f = {rBeta=true;rIota=true;rZeta=true;rDelta=true;rConst=[]} then str "compute" else hov 1 (str "cbv" ++ pr_red_flag pr_ref f) | Lazy f -> hov 1 (str "lazy" ++ pr_red_flag pr_ref f) | Unfold l -> hov 1 (str "unfold" ++ spc() ++ prlist_with_sep pr_comma (pr_with_occurrences pr_ref) l) | Fold l -> hov 1 (str "fold" ++ prlist (pr_arg pr_constr) l) | Pattern l -> hov 1 (str "pattern" ++ pr_arg (prlist_with_sep pr_comma (pr_with_occurrences pr_constr)) l) | Red true -> error "Shouldn't be accessible from user." | ExtraRedExpr s -> str s | CbvVm -> str "vm_compute" let rec pr_may_eval test prc prlc pr2 pr3 = function | ConstrEval (r,c) -> hov 0 (str "eval" ++ brk (1,1) ++ pr_red_expr (prc,prlc,pr2,pr3) r ++ str " in" ++ spc() ++ prc c) | ConstrContext ((_,id),c) -> hov 0 (str "context " ++ pr_id id ++ spc () ++ str "[" ++ prlc c ++ str "]") | ConstrTypeOf c -> hov 1 (str "type of" ++ spc() ++ prc c) | ConstrTerm c when test c -> h 0 (str "(" ++ prc c ++ str ")") | ConstrTerm c -> prc c let pr_may_eval a = pr_may_eval (fun _ -> false) a