(************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) (* (Name id,(* dummy *) mkProp)) ids in pr (Termops.push_rels_assum assums env) c let pr_constr_under_binders_env = pr_constr_under_binders_env_gen pr_constr_env let pr_lconstr_under_binders_env = pr_constr_under_binders_env_gen pr_lconstr_env let pr_constr_under_binders c = pr_constr_under_binders_env (Global.env()) c let pr_lconstr_under_binders c = pr_lconstr_under_binders_env (Global.env()) c let pr_type_core goal_concl_style env t = pr_constr_expr (extern_type goal_concl_style env t) let pr_ltype_core goal_concl_style env t = pr_lconstr_expr (extern_type goal_concl_style env t) let pr_goal_concl_style_env env = pr_ltype_core true env let pr_ltype_env env = pr_ltype_core false env let pr_type_env env = pr_type_core false env let pr_ltype t = pr_ltype_env (Global.env()) t let pr_type t = pr_type_env (Global.env()) t let pr_ljudge_env env j = (pr_lconstr_env env j.uj_val, pr_lconstr_env env j.uj_type) let pr_ljudge j = pr_ljudge_env (Global.env()) j let pr_lglob_constr_env env c = pr_lconstr_expr (extern_glob_constr (Termops.vars_of_env env) c) let pr_glob_constr_env env c = pr_constr_expr (extern_glob_constr (Termops.vars_of_env env) c) let pr_lglob_constr c = pr_lconstr_expr (extern_glob_constr Idset.empty c) let pr_glob_constr c = pr_constr_expr (extern_glob_constr Idset.empty c) let pr_cases_pattern t = pr_cases_pattern_expr (extern_cases_pattern Idset.empty t) let pr_lconstr_pattern_env env c = pr_lconstr_pattern_expr (extern_constr_pattern (Termops.names_of_rel_context env) c) let pr_constr_pattern_env env c = pr_constr_pattern_expr (extern_constr_pattern (Termops.names_of_rel_context env) c) let pr_lconstr_pattern t = pr_lconstr_pattern_expr (extern_constr_pattern Termops.empty_names_context t) let pr_constr_pattern t = pr_constr_pattern_expr (extern_constr_pattern Termops.empty_names_context t) let pr_sort s = pr_glob_sort (extern_sort s) let _ = Termops.set_print_constr pr_lconstr_env (**********************************************************************) (* Global references *) let pr_global_env = pr_global_env let pr_global = pr_global_env Idset.empty let pr_constant env cst = pr_global_env (Termops.vars_of_env env) (ConstRef cst) let pr_existential env ev = pr_lconstr_env env (mkEvar ev) let pr_inductive env ind = pr_lconstr_env env (mkInd ind) let pr_constructor env cstr = pr_lconstr_env env (mkConstruct cstr) let pr_evaluable_reference ref = pr_global (Tacred.global_of_evaluable_reference ref) (*let pr_glob_constr t = pr_lconstr (Constrextern.extern_glob_constr Idset.empty t)*) (*open Pattern let pr_pattern t = pr_pattern_env (Global.env()) empty_names_context t*) (**********************************************************************) (* Contexts and declarations *) let pr_var_decl env (id,c,typ) = let pbody = match c with | None -> (mt ()) | Some c -> (* Force evaluation *) let pb = pr_lconstr_env env c in let pb = if isCast c then surround pb else pb in (str" := " ++ pb ++ cut () ) in let pt = pr_ltype_env env typ in let ptyp = (str" : " ++ pt) in (pr_id id ++ hov 0 (pbody ++ ptyp)) let pr_rel_decl env (na,c,typ) = let pbody = match c with | None -> mt () | Some c -> (* Force evaluation *) let pb = pr_lconstr_env env c in let pb = if isCast c then surround pb else pb in (str":=" ++ spc () ++ pb ++ spc ()) in let ptyp = pr_ltype_env env typ in match na with | Anonymous -> hov 0 (str"<>" ++ spc () ++ pbody ++ str":" ++ spc () ++ ptyp) | Name id -> hov 0 (pr_id id ++ spc () ++ pbody ++ str":" ++ spc () ++ ptyp) (* Prints out an "env" in a nice format. We print out the * signature,then a horizontal bar, then the debruijn environment. * It's printed out from outermost to innermost, so it's readable. *) (* Prints a signature, all declarations on the same line if possible *) let pr_named_context_of env = let make_decl_list env d pps = pr_var_decl env d :: pps in let psl = List.rev (fold_named_context make_decl_list env ~init:[]) in hv 0 (prlist_with_sep (fun _ -> ws 2) (fun x -> x) psl) let pr_named_context env ne_context = hv 0 (Sign.fold_named_context (fun d pps -> pps ++ ws 2 ++ pr_var_decl env d) ne_context ~init:(mt ())) let pr_rel_context env rel_context = pr_binders (extern_rel_context None env rel_context) let pr_rel_context_of env = pr_rel_context env (rel_context env) (* Prints an env (variables and de Bruijn). Separator: newline *) let pr_context_unlimited env = let sign_env = fold_named_context (fun env d pps -> let pidt = pr_var_decl env d in (pps ++ fnl () ++ pidt)) env ~init:(mt ()) in let db_env = fold_rel_context (fun env d pps -> let pnat = pr_rel_decl env d in (pps ++ fnl () ++ pnat)) env ~init:(mt ()) in (sign_env ++ db_env) let pr_ne_context_of header env = if Environ.rel_context env = empty_rel_context & Environ.named_context env = empty_named_context then (mt ()) else let penv = pr_context_unlimited env in (header ++ penv ++ fnl ()) let pr_context_limit n env = let named_context = Environ.named_context env in let lgsign = List.length named_context in if n >= lgsign then pr_context_unlimited env else let k = lgsign-n in let _,sign_env = fold_named_context (fun env d (i,pps) -> if i < k then (i+1, (pps ++str ".")) else let pidt = pr_var_decl env d in (i+1, (pps ++ fnl () ++ str (emacs_str "") ++ pidt))) env ~init:(0,(mt ())) in let db_env = fold_rel_context (fun env d pps -> let pnat = pr_rel_decl env d in (pps ++ fnl () ++ str (emacs_str "") ++ pnat)) env ~init:(mt ()) in (sign_env ++ db_env) let pr_context_of env = match Flags.print_hyps_limit () with | None -> hv 0 (pr_context_unlimited env) | Some n -> hv 0 (pr_context_limit n env) (* display goal parts (Proof mode) *) let pr_predicate pr_elt (b, elts) = let pr_elts = prlist_with_sep spc pr_elt elts in if b then str"all" ++ (if elts = [] then mt () else str" except: " ++ pr_elts) else if elts = [] then str"none" else pr_elts let pr_cpred p = pr_predicate (pr_constant (Global.env())) (Cpred.elements p) let pr_idpred p = pr_predicate Nameops.pr_id (Idpred.elements p) let pr_transparent_state (ids, csts) = hv 0 (str"VARIABLES: " ++ pr_idpred ids ++ fnl () ++ str"CONSTANTS: " ++ pr_cpred csts ++ fnl ()) (* display complete goal *) let default_pr_goal gs = let (g,sigma) = Goal.V82.nf_evar (project gs) (sig_it gs) in let env = Goal.V82.unfiltered_env sigma g in let preamb,thesis,penv,pc = mt (), mt (), pr_context_of env, pr_goal_concl_style_env env (Goal.V82.concl sigma g) in preamb ++ str" " ++ hv 0 (penv ++ fnl () ++ str (emacs_str "") ++ str "============================" ++ fnl () ++ thesis ++ str " " ++ pc) (* display a goal tag *) let pr_goal_tag g = let s = " (ID " ^ Goal.uid g ^ ")" in str (emacs_str s) (* display the conclusion of a goal *) let pr_concl n sigma g = let (g,sigma) = Goal.V82.nf_evar sigma g in let env = Goal.V82.env sigma g in let pc = pr_goal_concl_style_env env (Goal.V82.concl sigma g) in str (emacs_str "") ++ str "subgoal " ++ int n ++ pr_goal_tag g ++ str " is:" ++ cut () ++ str" " ++ pc (* display evar type: a context and a type *) let pr_evgl_sign gl = let ps = pr_named_context_of (evar_unfiltered_env gl) in let _,l = list_filter2 (fun b c -> not b) (evar_filter gl,evar_context gl) in let ids = List.rev (List.map pi1 l) in let warn = if ids = [] then mt () else (str "(" ++ prlist_with_sep pr_comma pr_id ids ++ str " cannot be used)") in let pc = pr_lconstr gl.evar_concl in hov 0 (str"[" ++ ps ++ spc () ++ str"|- " ++ pc ++ str"]" ++ spc () ++ warn) (* Print an existential variable *) let pr_evar (ev, evd) = let pegl = pr_evgl_sign evd in (hov 0 (str (string_of_existential ev) ++ str " : " ++ pegl)) (* Print an enumerated list of existential variables *) let rec pr_evars_int i = function | [] -> mt () | (ev,evd)::rest -> let pegl = pr_evgl_sign evd in (hov 0 (str "Existential " ++ int i ++ str " =" ++ spc () ++ str (string_of_existential ev) ++ str " : " ++ pegl)) ++ (match rest with [] -> mt () | _ -> fnl () ++ pr_evars_int (i+1) rest) let default_pr_subgoal n sigma = let rec prrec p = function | [] -> error "No such goal." | g::rest -> if p = 1 then let pg = default_pr_goal { sigma=sigma ; it=g } in v 0 (str "subgoal " ++ int n ++ pr_goal_tag g ++ str " is:" ++ cut () ++ pg) else prrec (p-1) rest in prrec n let emacs_print_dependent_evars sigma seeds = let evars () = let evars = Evarutil.gather_dependent_evars sigma seeds in let evars = Intmap.fold begin fun e i s -> let e' = str (string_of_existential e) in match i with | None -> s ++ str" " ++ e' ++ str " open," | Some i -> s ++ str " " ++ e' ++ str " using " ++ Intset.fold begin fun d s -> str (string_of_existential d) ++ str " " ++ s end i (str ",") end evars (str "") in fnl () ++ str "(dependent evars:" ++ evars ++ str ")" ++ fnl () in delayed_emacs_cmd evars (* Print open subgoals. Checks for uninstantiated existential variables *) (* spiwack: [seeds] is for printing dependent evars in emacs mode. *) let default_pr_subgoals close_cmd sigma seeds stack goals = let rec print_stack a = function | [] -> Pp.int a | b::l -> Pp.int a ++ str"-" ++ print_stack b l in let print_unfocused a l = str"unfocused: " ++ print_stack a l in let rec pr_rec n = function | [] -> (mt ()) | g::rest -> let pc = pr_concl n sigma g in let prest = pr_rec (n+1) rest in (cut () ++ pc ++ prest) in match goals,stack with | [],_ -> begin match close_cmd with Some cmd -> (str "Subproof completed, now type " ++ str cmd ++ str ".") | None -> let exl = Evarutil.non_instantiated sigma in if exl = [] then (str"No more subgoals." ++ emacs_print_dependent_evars sigma seeds) else let pei = pr_evars_int 1 exl in (str "No more subgoals but non-instantiated existential " ++ str "variables:" ++ fnl () ++ (hov 0 pei) ++ emacs_print_dependent_evars sigma seeds ++ fnl () ++ str "You can use Grab Existential Variables.") end | [g],[] -> let pg = default_pr_goal { it = g ; sigma = sigma } in v 0 ( str "1 subgoal" ++ pr_goal_tag g ++ cut () ++ pg ++ emacs_print_dependent_evars sigma seeds ) | [g],a::l -> let pg = default_pr_goal { it = g ; sigma = sigma } in v 0 ( str "1 focused subgoal (" ++ print_unfocused a l ++ str")" ++ pr_goal_tag g ++ cut () ++ pg ++ emacs_print_dependent_evars sigma seeds ) | g1::rest,[] -> let pg1 = default_pr_goal { it = g1 ; sigma = sigma } in let prest = pr_rec 2 rest in v 0 ( int(List.length rest+1) ++ str" subgoals" ++ str (emacs_str ", subgoal 1") ++ pr_goal_tag g1 ++ cut () ++ pg1 ++ prest ++ emacs_print_dependent_evars sigma seeds ) | g1::rest,a::l -> let pg1 = default_pr_goal { it = g1 ; sigma = sigma } in let prest = pr_rec 2 rest in v 0 ( int(List.length rest+1) ++ str" focused subgoals (" ++ print_unfocused a l ++ str")" ++ cut () ++ str (emacs_str ", subgoal 1") ++ pr_goal_tag g1 ++ cut () ++ pg1 ++ prest ++ emacs_print_dependent_evars sigma seeds ) (**********************************************************************) (* Abstraction layer *) type printer_pr = { pr_subgoals : string option -> evar_map -> evar list -> int list -> goal list -> std_ppcmds; pr_subgoal : int -> evar_map -> goal list -> std_ppcmds; pr_goal : goal sigma -> std_ppcmds; } let default_printer_pr = { pr_subgoals = default_pr_subgoals; pr_subgoal = default_pr_subgoal; pr_goal = default_pr_goal; } let printer_pr = ref default_printer_pr let set_printer_pr = (:=) printer_pr let pr_subgoals x = !printer_pr.pr_subgoals x let pr_subgoal x = !printer_pr.pr_subgoal x let pr_goal x = !printer_pr.pr_goal x (* End abstraction layer *) (**********************************************************************) let pr_open_subgoals () = (* spiwack: it shouldn't be the job of the printer to look up stuff in the [evar_map], I did stuff that way because it was more straightforward, but seriously, [Proof.proof] should return [evar_info]-s instead. *) let p = Proof_global.give_me_the_proof () in let (goals , stack , sigma ) = Proof.proof p in let stack = List.map (fun (l,r) -> List.length l + List.length r) stack in let seeds = Proof.V82.top_evars p in begin match goals with | [] -> let { Evd.it = bgoals ; sigma = bsigma } = Proof.V82.background_subgoals p in begin match bgoals with | [] -> pr_subgoals None sigma seeds stack goals | _ -> str"This subproof is complete, but there are still unfocused goals." ++ fnl () ++ fnl () ++ pr_subgoals None bsigma seeds [] bgoals end | _ -> pr_subgoals None sigma seeds stack goals end let pr_nth_open_subgoal n = let pf = get_pftreestate () in let { it=gls ; sigma=sigma } = Proof.V82.subgoals pf in pr_subgoal n sigma gls let pr_goal_by_id id = let p = Proof_global.give_me_the_proof () in let g = Goal.get_by_uid id in let pr gs = v 0 (str ("goal / evar " ^ id ^ " is:") ++ cut () ++ pr_goal gs) in try Proof.in_proof p (fun sigma -> pr {it=g;sigma=sigma}) with Not_found -> error "Invalid goal identifier." (* Elementary tactics *) let pr_prim_rule = function | Intro id -> str"intro " ++ pr_id id | Cut (b,replace,id,t) -> if b then (* TODO: express "replace" *) (str"assert " ++ str"(" ++ pr_id id ++ str":" ++ pr_lconstr t ++ str")") else let cl = if replace then str"clear " ++ pr_id id ++ str"; " else mt() in (str"cut " ++ pr_constr t ++ str ";[" ++ cl ++ str"intro " ++ pr_id id ++ str"|idtac]") | FixRule (f,n,[],_) -> (str"fix " ++ pr_id f ++ str"/" ++ int n) | FixRule (f,n,others,j) -> if j<>0 then msg_warning (strbrk "Unsupported printing of \"fix\""); let rec print_mut = function | (f,n,ar)::oth -> pr_id f ++ str"/" ++ int n ++ str" : " ++ pr_lconstr ar ++ print_mut oth | [] -> mt () in (str"fix " ++ pr_id f ++ str"/" ++ int n ++ str" with " ++ print_mut others) | Cofix (f,[],_) -> (str"cofix " ++ pr_id f) | Cofix (f,others,j) -> if j<>0 then msg_warning (strbrk "Unsupported printing of \"fix\""); let rec print_mut = function | (f,ar)::oth -> (pr_id f ++ str" : " ++ pr_lconstr ar ++ print_mut oth) | [] -> mt () in (str"cofix " ++ pr_id f ++ str" with " ++ print_mut others) | Refine c -> str(if Termops.occur_meta c then "refine " else "exact ") ++ Constrextern.with_meta_as_hole pr_constr c | Convert_concl (c,_) -> (str"change " ++ pr_constr c) | Convert_hyp (id,None,t) -> (str"change " ++ pr_constr t ++ spc () ++ str"in " ++ pr_id id) | Convert_hyp (id,Some c,t) -> (str"change " ++ pr_constr c ++ spc () ++ str"in " ++ pr_id id ++ str" (type of " ++ pr_id id ++ str ")") | Thin ids -> (str"clear " ++ pr_sequence pr_id ids) | ThinBody ids -> (str"clearbody " ++ pr_sequence pr_id ids) | Move (withdep,id1,id2) -> (str (if withdep then "dependent " else "") ++ str"move " ++ pr_id id1 ++ Miscops.pr_move_location pr_id id2) | Order ord -> (str"order " ++ pr_sequence pr_id ord) | Rename (id1,id2) -> (str "rename " ++ pr_id id1 ++ str " into " ++ pr_id id2) | Change_evars -> (* This is internal tactic and cannot be replayed at user-level. Function pr_rule_dot below is used when we want to hide Change_evars *) str "Evar change" (* Backwards compatibility *) let prterm = pr_lconstr (* Printer function for sets of Assumptions.assumptions. It is used primarily by the Print Assumptions command. *) open Assumptions let pr_assumptionset env s = if ContextObjectMap.is_empty s then str "Closed under the global context" else let safe_pr_constant env kn = try pr_constant env kn with Not_found -> let mp,_,lab = repr_con kn in str (string_of_mp mp ^ "." ^ string_of_label lab) in let safe_pr_ltype typ = try str " : " ++ pr_ltype typ with _ -> mt () in let fold t typ accu = let (v, a, o) = accu in match t with | Variable id -> let var = str (string_of_id id) ++ str " : " ++ pr_ltype typ in (var :: v, a, o) | Axiom kn -> let ax = safe_pr_constant env kn ++ safe_pr_ltype typ in (v, ax :: a, o) | Opaque kn -> let opq = safe_pr_constant env kn ++ safe_pr_ltype typ in (v, a, opq :: o) in let (vars, axioms, opaque) = ContextObjectMap.fold fold s ([], [], []) in let opt_list title = function | [] -> None | l -> let section = title ++ fnl () ++ v 0 (prlist_with_sep fnl (fun s -> s) l) in Some section in let assums = [ opt_list (str "Section Variables:") vars; opt_list (str "Axioms:") axioms; opt_list (str "Opaque constants:") opaque; ] in prlist_with_sep fnl (pr_opt_no_spc (fun x -> x)) assums let cmap_to_list m = Cmap.fold (fun k v acc -> v :: acc) m [] open Typeclasses let pr_instance i = pr_global (instance_impl i) let pr_instance_gmap insts = prlist_with_sep fnl (fun (gr, insts) -> prlist_with_sep fnl pr_instance (cmap_to_list insts)) (Gmap.to_list insts) (** Inductive declarations *) open Declarations open Termops open Reduction open Inductive open Inductiveops let print_params env params = if params = [] then mt () else pr_rel_context env params ++ brk(1,2) let print_constructors envpar names types = let pc = prlist_with_sep (fun () -> brk(1,0) ++ str "| ") (fun (id,c) -> pr_id id ++ str " : " ++ pr_lconstr_env envpar c) (Array.to_list (array_map2 (fun n t -> (n,t)) names types)) in hv 0 (str " " ++ pc) let build_ind_type env mip = match mip.mind_arity with | Monomorphic ar -> ar.mind_user_arity | Polymorphic ar -> it_mkProd_or_LetIn (mkSort (Type ar.poly_level)) mip.mind_arity_ctxt let print_one_inductive env mib ((_,i) as ind) = let mip = mib.mind_packets.(i) in let params = mib.mind_params_ctxt in let args = extended_rel_list 0 params in let arity = hnf_prod_applist env (build_ind_type env mip) args in let cstrtypes = Inductive.type_of_constructors ind (mib,mip) in let cstrtypes = Array.map (fun c -> hnf_prod_applist env c args) cstrtypes in let envpar = push_rel_context params env in hov 0 ( pr_id mip.mind_typename ++ brk(1,4) ++ print_params env params ++ str ": " ++ pr_lconstr_env envpar arity ++ str " :=") ++ brk(0,2) ++ print_constructors envpar mip.mind_consnames cstrtypes let print_mutual_inductive env mind mib = let inds = list_tabulate (fun x -> (mind,x)) (Array.length mib.mind_packets) in hov 0 ( str (if mib.mind_finite then "Inductive " else "CoInductive ") ++ prlist_with_sep (fun () -> fnl () ++ str" with ") (print_one_inductive env mib) inds) let get_fields = let rec prodec_rec l subst c = match kind_of_term c with | Prod (na,t,c) -> let id = match na with Name id -> id | Anonymous -> id_of_string "_" in prodec_rec ((id,true,substl subst t)::l) (mkVar id::subst) c | LetIn (na,b,_,c) -> let id = match na with Name id -> id | Anonymous -> id_of_string "_" in prodec_rec ((id,false,substl subst b)::l) (mkVar id::subst) c | _ -> List.rev l in prodec_rec [] [] let print_record env mind mib = let mip = mib.mind_packets.(0) in let params = mib.mind_params_ctxt in let args = extended_rel_list 0 params in let arity = hnf_prod_applist env (build_ind_type env mip) args in let cstrtypes = Inductive.type_of_constructors (mind,0) (mib,mip) in let cstrtype = hnf_prod_applist env cstrtypes.(0) args in let fields = get_fields cstrtype in let envpar = push_rel_context params env in hov 0 ( hov 0 ( str "Record " ++ pr_id mip.mind_typename ++ brk(1,4) ++ print_params env params ++ str ": " ++ pr_lconstr_env envpar arity ++ brk(1,2) ++ str ":= " ++ pr_id mip.mind_consnames.(0)) ++ brk(1,2) ++ hv 2 (str "{ " ++ prlist_with_sep (fun () -> str ";" ++ brk(2,0)) (fun (id,b,c) -> pr_id id ++ str (if b then " : " else " := ") ++ pr_lconstr_env envpar c) fields) ++ str" }") let pr_mutual_inductive_body env mind mib = if mib.mind_record & not !Flags.raw_print then print_record env mind mib else print_mutual_inductive env mind mib