(************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) (* alts | true , false -> s | false,_ -> "" (**********************************************************************) (** Terms *) (* [at_top] means ids of env must be avoided in bound variables *) let pr_constr_core at_top env t = pr_constr_expr (extern_constr at_top env t) let pr_lconstr_core at_top env t = pr_lconstr_expr (extern_constr at_top env t) let pr_lconstr_env_at_top env = pr_lconstr_core true env let pr_lconstr_env env = pr_lconstr_core false env let pr_constr_env env = pr_constr_core false env let pr_open_lconstr_env env (_,c) = pr_lconstr_env env c let pr_open_constr_env env (_,c) = pr_constr_env env c (* NB do not remove the eta-redexes! Global.env() has side-effects... *) let pr_lconstr t = pr_lconstr_env (Global.env()) t let pr_constr t = pr_constr_env (Global.env()) t let pr_open_lconstr (_,c) = pr_lconstr c let pr_open_constr (_,c) = pr_constr c let pr_constr_under_binders_env_gen pr env (ids,c) = (* Warning: clashes can occur with variables of same name in env but *) (* we also need to preserve the actual names of the patterns *) (* So what to do? *) let assums = List.map (fun id -> (Name id,(* dummy *) mkProp)) ids in pr (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 at_top env t = pr_constr_expr (extern_type at_top env t) let pr_ltype_core at_top env t = pr_lconstr_expr (extern_type at_top env t) let pr_ltype_env_at_top 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_lrawconstr_env env c = pr_lconstr_expr (extern_rawconstr (vars_of_env env) c) let pr_rawconstr_env env c = pr_constr_expr (extern_rawconstr (vars_of_env env) c) let pr_lrawconstr c = pr_lconstr_expr (extern_rawconstr Idset.empty c) let pr_rawconstr c = pr_constr_expr (extern_rawconstr 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 (names_of_rel_context env) c) let pr_constr_pattern_env env c = pr_constr_pattern_expr (extern_constr_pattern (names_of_rel_context env) c) let pr_lconstr_pattern t = pr_lconstr_pattern_expr (extern_constr_pattern empty_names_context t) let pr_constr_pattern t = pr_constr_pattern_expr (extern_constr_pattern empty_names_context t) let pr_sort s = pr_rawsort (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 (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_rawterm t = pr_lconstr (Constrextern.extern_rawconstr 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 (String.make 1 (Char.chr 253)) "") ++ 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 (String.make 1 (Char.chr 253)) "") ++ 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_restricted_named_context among env = hv 0 (fold_named_context (fun env ((id,_,_) as d) pps -> if true || Idset.mem id among then pps ++ fnl () ++ str (emacs_str (String.make 1 (Char.chr 253)) "") ++ pr_var_decl env d else pps) env ~init:(mt ())) 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_con (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 ()) let pr_subgoal_metas metas env= let pr_one (meta,typ) = str "?" ++ int meta ++ str " : " ++ hov 0 (pr_ltype_env_at_top env typ) ++ fnl () ++ str (emacs_str (String.make 1 (Char.chr 253)) "") in hv 0 (prlist_with_sep mt pr_one metas) (* display complete goal *) let default_pr_goal g = let env = evar_unfiltered_env g in let preamb,thesis,penv,pc = if g.evar_extra = None then mt (), mt (), pr_context_of env, pr_ltype_env_at_top env g.evar_concl else (str " *** Declarative Mode ***" ++ fnl ()++fnl ()), (str "thesis := " ++ fnl ()), pr_context_of env, pr_ltype_env_at_top env g.evar_concl in preamb ++ str" " ++ hv 0 (penv ++ fnl () ++ str (emacs_str (String.make 1 (Char.chr 253)) "") ++ str "============================" ++ fnl () ++ thesis ++ str " " ++ pc) ++ fnl () (* display the conclusion of a goal *) let pr_concl n g = let env = evar_env g in let pc = pr_ltype_env_at_top env g.evar_concl in str (emacs_str (String.make 1 (Char.chr 253)) "") ++ str "subgoal " ++ int n ++ 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 enumerated list of existential variables *) let rec pr_evars_int i = function | [] -> (mt ()) | (ev,evd)::rest -> let pegl = pr_evgl_sign evd in let pei = pr_evars_int (i+1) rest in (hov 0 (str "Existential " ++ int i ++ str " =" ++ spc () ++ str (string_of_existential ev) ++ str " : " ++ pegl)) ++ fnl () ++ pei let default_pr_subgoal n = let rec prrec p = function | [] -> error "No such goal." | g::rest -> if p = 1 then let pg = default_pr_goal g in v 0 (str "subgoal " ++ int n ++ str " is:" ++ cut () ++ pg) else prrec (p-1) rest in prrec n (* Print open subgoals. Checks for uninstantiated existential variables *) let default_pr_subgoals close_cmd sigma = function | [] -> begin match close_cmd with Some cmd -> (str "Subproof completed, now type " ++ str cmd ++ str "." ++ fnl ()) | None -> let exl = Evarutil.non_instantiated sigma in if exl = [] then (str"Proof completed." ++ fnl ()) else let pei = pr_evars_int 1 exl in (str "No more subgoals but non-instantiated existential " ++ str "variables:" ++ fnl () ++ (hov 0 pei)) end | [g] -> let pg = default_pr_goal g in v 0 (str ("1 "^"subgoal") ++cut () ++ pg) | g1::rest -> let rec pr_rec n = function | [] -> (mt ()) | g::rest -> let pc = pr_concl n g in let prest = pr_rec (n+1) rest in (cut () ++ pc ++ prest) in let pg1 = default_pr_goal g1 in let prest = pr_rec 2 rest in v 0 (int(List.length rest+1) ++ str" subgoals" ++ cut () ++ pg1 ++ prest ++ fnl ()) (**********************************************************************) (* Abstraction layer *) type printer_pr = { pr_subgoals : string option -> evar_map -> goal list -> std_ppcmds; pr_subgoal : int -> goal list -> std_ppcmds; pr_goal : goal -> 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 () = let pfts = get_pftreestate () in let gls = fst (frontier (proof_of_pftreestate pfts)) in match focus() with | 0 -> let sigma = (top_goal_of_pftreestate pfts).sigma in let close_cmd = Decl_mode.get_end_command pfts in pr_subgoals close_cmd sigma gls | n -> assert (n > List.length gls); if List.length gls < 2 then pr_subgoal n gls else (* LEM TODO: this way of saying how many subgoals has to be abstracted out*) v 0 (int(List.length gls) ++ str" subgoals" ++ cut () ++ pr_subgoal n gls) let pr_nth_open_subgoal n = let pf = proof_of_pftreestate (get_pftreestate ()) in pr_subgoal n (fst (frontier pf)) (* 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 warning "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 warning "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 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 " ++ prlist_with_sep pr_spc pr_id ids) | ThinBody ids -> (str"clearbody " ++ prlist_with_sep pr_spc pr_id ids) | Move (withdep,id1,id2) -> (str (if withdep then "dependent " else "") ++ str"move " ++ pr_id id1 ++ pr_move_location pr_id id2) | Order ord -> (str"order " ++ prlist_with_sep pr_spc 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 (* spiwack: printer function for sets of Environ.assumption. It is used primarily by the Print Assumption command. *) let pr_assumptionset env s = if (Environ.ContextObjectMap.is_empty s) then str "Closed under the global context" else let (vars,axioms,opaque) = Environ.ContextObjectMap.fold (fun t typ r -> let (v,a,o) = r in match t with | Variable id -> ( Some ( Option.default (fnl ()) v ++ str (string_of_id id) ++ str " : " ++ pr_ltype typ ++ fnl () ) , a, o) | Axiom kn -> ( v , Some ( Option.default (fnl ()) a ++ (pr_constant env kn) ++ str " : " ++ pr_ltype typ ++ fnl () ) , o ) | Opaque kn -> ( v , a , Some ( Option.default (fnl ()) o ++ (pr_constant env kn) ++ str " : " ++ pr_ltype typ ++ fnl () ) ) ) s (None,None,None) in let (vars,axioms,opaque) = ( Option.map (fun p -> str "Section Variables:" ++ p) vars , Option.map (fun p -> str "Axioms:" ++ p) axioms , Option.map (fun p -> str "Opaque constants:" ++ p) opaque ) in (Option.default (mt ()) vars) ++ (Option.default (mt ()) axioms) ++ (Option.default (mt ()) opaque) 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)