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(************************************************************************) (* * The Coq Proof Assistant / The Coq Development Team *) (* v * INRIA, CNRS and contributors - Copyright 1999-2019 *) (* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (* * (see LICENSE file for the text of the license) *) (************************************************************************) open CErrors open Util open Pp open Names open Libnames let make_dir l = DirPath.make (List.rev_map Id.of_string l) (************************************************************************) (* Coq reference API *) (************************************************************************) let coq = Libnames.coq_string (* "Coq" *) let init_dir = [ coq; "Init"] let jmeq_module_name = [coq;"Logic";"JMeq"] let jmeq_library_path = make_dir jmeq_module_name let jmeq_module = MPfile jmeq_library_path let find_reference locstr dir s = let dp = make_dir dir in let sp = Libnames.make_path dp (Id.of_string s) in Nametab.global_of_path sp let coq_reference locstr dir s = find_reference locstr (coq::dir) s let table : GlobRef.t CString.Map.t ref = let name = "coqlib_registered" in Summary.ref ~name CString.Map.empty let get_lib_refs () = CString.Map.bindings !table let has_ref s = CString.Map.mem s !table let check_ind_ref s ind = match CString.Map.find s !table with | GlobRef.IndRef r -> eq_ind r ind | _ -> false | exception Not_found -> false let lib_ref s = try CString.Map.find s !table with Not_found -> user_err Pp.(str "not found in table: " ++ str s) let add_ref s c = table := CString.Map.add s c !table let cache_ref (_,(s,c)) = add_ref s c let (inCoqlibRef : string * GlobRef.t -> Libobject.obj) = let open Libobject in declare_object { (default_object "COQLIBREF") with cache_function = cache_ref; load_function = (fun _ x -> cache_ref x); classify_function = (fun o -> Substitute o); subst_function = ident_subst_function; discharge_function = fun (_, sc) -> Some sc } (** Replaces a binding ! *) let register_ref s c = Lib.add_anonymous_leaf @@ inCoqlibRef (s,c) (************************************************************************) (* Generic functions to find Coq objects *) let has_suffix_in_dirs dirs ref = let dir = dirpath (Nametab.path_of_global ref) in List.exists (fun d -> is_dirpath_prefix_of d dir) dirs let gen_reference_in_modules locstr dirs s = let dirs = List.map make_dir dirs in let qualid = qualid_of_string s in let all = Nametab.locate_all qualid in let all = List.sort_uniquize GlobRef.Ordered_env.compare all in let these = List.filter (has_suffix_in_dirs dirs) all in match these with | [x] -> x | [] -> anomaly ~label:locstr (str "cannot find " ++ str s ++ str " in module" ++ str (if List.length dirs > 1 then "s " else " ") ++ prlist_with_sep pr_comma DirPath.print dirs ++ str ".") | l -> anomaly ~label:locstr (str "ambiguous name " ++ str s ++ str " can represent " ++ prlist_with_sep pr_comma (fun x -> Libnames.pr_path (Nametab.path_of_global x)) l ++ str " in module" ++ str (if List.length dirs > 1 then "s " else " ") ++ prlist_with_sep pr_comma DirPath.print dirs ++ str ".") (* For tactics/commands requiring vernacular libraries *) let check_required_library d = let dir = make_dir d in try let _ : Declarations.module_body = Global.lookup_module (ModPath.MPfile dir) in () with Not_found -> let in_current_dir = match Lib.current_mp () with | MPfile dp -> DirPath.equal dir dp | _ -> false in if not in_current_dir then user_err ~hdr:"Coqlib.check_required_library" (str "Library " ++ DirPath.print dir ++ str " has to be required first.") (************************************************************************) (* Specific Coq objects *) (************************************************************************) let arith_dir = [coq;"Arith"] let arith_modules = [arith_dir] let numbers_dir = [coq;"Numbers"] let parith_dir = [coq;"PArith"] let narith_dir = [coq;"NArith"] let zarith_dir = [coq;"ZArith"] let zarith_base_modules = [numbers_dir;parith_dir;narith_dir;zarith_dir] let init_modules = [ init_dir@["Datatypes"]; init_dir@["Logic"]; init_dir@["Specif"]; init_dir@["Logic_Type"]; init_dir@["Nat"]; init_dir@["Peano"]; init_dir@["Wf"] ] let logic_module_name = init_dir@["Logic"] let logic_module = MPfile (make_dir logic_module_name) let logic_type_module_name = init_dir@["Logic_Type"] let logic_type_module = make_dir logic_type_module_name let datatypes_module_name = init_dir@["Datatypes"] let datatypes_module = MPfile (make_dir datatypes_module_name) (** Identity *) let id = Constant.make2 datatypes_module @@ Label.make "idProp" let type_of_id = Constant.make2 datatypes_module @@ Label.make "IDProp" (** Natural numbers *) let nat_kn = MutInd.make2 datatypes_module @@ Label.make "nat" let nat_path = Libnames.make_path (make_dir datatypes_module_name) (Id.of_string "nat") let glob_nat = GlobRef.IndRef (nat_kn,0) let path_of_O = ((nat_kn,0),1) let path_of_S = ((nat_kn,0),2) let glob_O = GlobRef.ConstructRef path_of_O let glob_S = GlobRef.ConstructRef path_of_S (** Booleans *) let bool_kn = MutInd.make2 datatypes_module @@ Label.make "bool" let glob_bool = GlobRef.IndRef (bool_kn,0) let path_of_true = ((bool_kn,0),1) let path_of_false = ((bool_kn,0),2) let glob_true = GlobRef.ConstructRef path_of_true let glob_false = GlobRef.ConstructRef path_of_false (** Equality *) let eq_kn = MutInd.make2 logic_module @@ Label.make "eq" let glob_eq = GlobRef.IndRef (eq_kn,0) let identity_kn = MutInd.make2 datatypes_module @@ Label.make "identity" let glob_identity = GlobRef.IndRef (identity_kn,0) let jmeq_kn = MutInd.make2 jmeq_module @@ Label.make "JMeq" let glob_jmeq = GlobRef.IndRef (jmeq_kn,0) (* Sigma data *) type coq_sigma_data = { proj1 : GlobRef.t; proj2 : GlobRef.t; elim : GlobRef.t; intro : GlobRef.t; typ : GlobRef.t } let build_sigma_gen str = { typ = lib_ref ("core." ^ str ^ ".type"); elim = lib_ref ("core." ^ str ^ ".rect"); intro = lib_ref ("core." ^ str ^ ".intro"); proj1 = lib_ref ("core." ^ str ^ ".proj1"); proj2 = lib_ref ("core." ^ str ^ ".proj2"); } let build_prod () = build_sigma_gen "prod" let build_sigma () = build_sigma_gen "sig" let build_sigma_type () = build_sigma_gen "sigT" (* Booleans *) type coq_bool_data = { andb : GlobRef.t; andb_prop : GlobRef.t; andb_true_intro : GlobRef.t} let build_bool_type () = { andb = lib_ref "core.bool.andb"; andb_prop = lib_ref "core.bool.andb_prop"; andb_true_intro = lib_ref "core.bool.andb_true_intro"; } (* Equalities *) type coq_eq_data = { eq : GlobRef.t; ind : GlobRef.t; refl : GlobRef.t; sym : GlobRef.t; trans: GlobRef.t; congr: GlobRef.t } (* Leibniz equality on Type *) let build_eqdata_gen str = { eq = lib_ref ("core." ^ str ^ ".type"); ind = lib_ref ("core." ^ str ^ ".ind"); refl = lib_ref ("core." ^ str ^ ".refl"); sym = lib_ref ("core." ^ str ^ ".sym"); trans = lib_ref ("core." ^ str ^ ".trans"); congr = lib_ref ("core." ^ str ^ ".congr"); } let build_coq_eq_data () = build_eqdata_gen "eq" let build_coq_jmeq_data () = build_eqdata_gen "JMeq" let build_coq_identity_data () = build_eqdata_gen "identity" (* Inversion data... *) (* Data needed for discriminate and injection *) type coq_inversion_data = { inv_eq : GlobRef.t; (* : forall params, t -> Prop *) inv_ind : GlobRef.t; (* : forall params P y, eq params y -> P y *) inv_congr: GlobRef.t (* : forall params B (f:t->B) y, eq params y -> f c=f y *) } let build_coq_inversion_gen l str = List.iter check_required_library l; { inv_eq = lib_ref ("core." ^ str ^ ".type"); inv_ind = lib_ref ("core." ^ str ^ ".ind"); inv_congr = lib_ref ("core." ^ str ^ ".congr_canonical"); } let build_coq_inversion_eq_data () = build_coq_inversion_gen [logic_module_name] "eq" let build_coq_inversion_eq_true_data () = build_coq_inversion_gen [logic_module_name] "True" let build_coq_inversion_identity_data () = build_coq_inversion_gen [logic_module_name] "identity" (* This needs a special case *) let build_coq_inversion_jmeq_data () = { inv_eq = lib_ref "core.JMeq.hom"; inv_ind = lib_ref "core.JMeq.ind"; inv_congr = lib_ref "core.JMeq.congr_canonical"; } (* Specif *) let build_coq_sumbool () = lib_ref "core.sumbool.type" let build_coq_eq () = lib_ref "core.eq.type" let build_coq_eq_refl () = lib_ref "core.eq.refl" let build_coq_eq_sym () = lib_ref "core.eq.sym" let build_coq_f_equal2 () = lib_ref "core.eq.congr2" (* Runtime part *) let build_coq_True () = lib_ref "core.True.type" let build_coq_I () = lib_ref "core.True.I" let build_coq_identity () = lib_ref "core.identity.type" let build_coq_eq_true () = lib_ref "core.eq_true.type" let build_coq_jmeq () = lib_ref "core.JMeq.type" let build_coq_prod () = lib_ref "core.prod.type" let build_coq_pair () = lib_ref "core.prod.intro" let build_coq_False () = lib_ref "core.False.type" let build_coq_not () = lib_ref "core.not.type" let build_coq_and () = lib_ref "core.and.type" let build_coq_conj () = lib_ref "core.and.conj" let build_coq_or () = lib_ref "core.or.type" let build_coq_ex () = lib_ref "core.ex.type" let build_coq_sig () = lib_ref "core.sig.type" let build_coq_existT () = lib_ref "core.sigT.existT" let build_coq_iff () = lib_ref "core.iff.type" let build_coq_iff_left_proj () = lib_ref "core.iff.proj1" let build_coq_iff_right_proj () = lib_ref "core.iff.proj2" (* The following is less readable but does not depend on parsing *) let coq_eq_ref = Lazy.from_fun build_coq_eq let coq_identity_ref = Lazy.from_fun build_coq_identity let coq_jmeq_ref = Lazy.from_fun build_coq_jmeq let coq_eq_true_ref = Lazy.from_fun build_coq_eq_true let coq_existS_ref = Lazy.from_fun build_coq_existT let coq_existT_ref = Lazy.from_fun build_coq_existT let coq_exist_ref = Lazy.from_fun build_coq_ex let coq_not_ref = Lazy.from_fun build_coq_not let coq_False_ref = Lazy.from_fun build_coq_False let coq_sumbool_ref = Lazy.from_fun build_coq_sumbool let coq_sig_ref = Lazy.from_fun build_coq_sig let coq_or_ref = Lazy.from_fun build_coq_or let coq_iff_ref = Lazy.from_fun build_coq_iff (** Deprecated functions that search by library name. *) let build_sigma_set () = anomaly (Pp.str "Use build_sigma_type.")