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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) *) (************************************************************************) (*i*) module CVars = Vars open Names open EConstr open CErrors open Util open Typeclasses_errors open Typeclasses open Libnames open Globnames open Constrintern open Constrexpr open Context.Rel.Declaration open Class_tactics open Libobject module RelDecl = Context.Rel.Declaration module NamedDecl = Context.Named.Declaration (*i*) let set_typeclass_transparency c local b = Hints.add_hints ~local [typeclasses_db] (Hints.HintsTransparencyEntry (Hints.HintsReferences [c], b)) let classes_transparent_state () = try Hints.Hint_db.transparent_state (Hints.searchtable_map typeclasses_db) with Not_found -> TransparentState.empty let () = Hook.set Typeclasses.set_typeclass_transparency_hook set_typeclass_transparency; Hook.set Typeclasses.classes_transparent_state_hook classes_transparent_state let add_instance_hint inst path local info poly = let inst' = match inst with IsConstr c -> Hints.IsConstr (EConstr.of_constr c, Univ.ContextSet.empty) | IsGlobal gr -> Hints.IsGlobRef gr in Flags.silently (fun () -> Hints.add_hints ~local [typeclasses_db] (Hints.HintsResolveEntry [info, poly, false, Hints.PathHints path, inst'])) () let is_local_for_hint i = match i.is_global with | None -> true (* i.e. either no Global keyword not in section, or in section *) | Some n -> n <> 0 (* i.e. in a section, declare the hint as local since discharge is managed by rebuild_instance which calls again add_instance_hint; don't ask hints to take discharge into account itself *) let add_instance check inst = let poly = Global.is_polymorphic inst.is_impl in let local = is_local_for_hint inst in add_instance_hint (IsGlobal inst.is_impl) [inst.is_impl] local inst.is_info poly; List.iter (fun (path, pri, c) -> add_instance_hint (IsConstr c) path local pri poly) (build_subclasses ~check:(check && not (isVarRef inst.is_impl)) (Global.env ()) (Evd.from_env (Global.env ())) inst.is_impl inst.is_info) let mk_instance cl info glob impl = let global = if glob then Some (Lib.sections_depth ()) else None in if match global with Some n -> n>0 && isVarRef impl | _ -> false then CErrors.user_err (Pp.str "Cannot set Global an instance referring to a section variable."); { is_class = cl.cl_impl; is_info = info ; is_global = global ; is_impl = impl } (* * instances persistent object *) let cache_instance (_, i) = load_instance i let subst_instance (subst, inst) = { inst with is_class = fst (subst_global subst inst.is_class); is_impl = fst (subst_global subst inst.is_impl) } let discharge_instance (_, inst) = match inst.is_global with | None -> None | Some n -> assert (not (isVarRef inst.is_impl)); Some { inst with is_global = Some (pred n); is_class = inst.is_class; is_impl = inst.is_impl } let is_local i = (i.is_global == None) let rebuild_instance inst = add_instance true inst; inst let classify_instance inst = if is_local inst then Dispose else Substitute inst let instance_input : instance -> obj = declare_object { (default_object "type classes instances state") with cache_function = cache_instance; load_function = (fun _ x -> cache_instance x); open_function = (fun _ x -> cache_instance x); classify_function = classify_instance; discharge_function = discharge_instance; rebuild_function = rebuild_instance; subst_function = subst_instance } let add_instance i = Lib.add_anonymous_leaf (instance_input i); add_instance true i let warning_not_a_class = let name = "not-a-class" in let category = "typeclasses" in CWarnings.create ~name ~category (fun (n, ty) -> let env = Global.env () in let evd = Evd.from_env env in Pp.(str "Ignored instance declaration for “" ++ Nametab.pr_global_env Id.Set.empty n ++ str "”: “" ++ Termops.Internal.print_constr_env env evd (EConstr.of_constr ty) ++ str "” is not a class") ) let declare_instance ?(warn = false) env sigma info local glob = let ty, _ = Typeops.type_of_global_in_context env glob in let info = Option.default {hint_priority = None; hint_pattern = None} info in match class_of_constr env sigma (EConstr.of_constr ty) with | Some (rels, ((tc,_), args) as _cl) -> assert (not (isVarRef glob) || local); add_instance (mk_instance tc info (not local) glob) | None -> if warn then warning_not_a_class (glob, ty) (* * classes persistent object *) let cache_class (_,c) = load_class c let subst_class (subst,cl) = let do_subst_con c = Mod_subst.subst_constant subst c and do_subst c = Mod_subst.subst_mps subst c and do_subst_gr gr = fst (subst_global subst gr) in let do_subst_ctx = List.Smart.map (RelDecl.map_constr do_subst) in let do_subst_context (grs,ctx) = List.Smart.map (Option.Smart.map do_subst_gr) grs, do_subst_ctx ctx in let do_subst_projs projs = List.Smart.map (fun (x, y, z) -> (x, y, Option.Smart.map do_subst_con z)) projs in { cl_univs = cl.cl_univs; cl_impl = do_subst_gr cl.cl_impl; cl_context = do_subst_context cl.cl_context; cl_props = do_subst_ctx cl.cl_props; cl_projs = do_subst_projs cl.cl_projs; cl_strict = cl.cl_strict; cl_unique = cl.cl_unique } let discharge_class (_,cl) = let open CVars in let repl = Lib.replacement_context () in let rel_of_variable_context ctx = List.fold_right ( fun decl (ctx', subst) -> let decl' = decl |> NamedDecl.map_constr (substn_vars 1 subst) |> NamedDecl.to_rel_decl in (decl' :: ctx', NamedDecl.get_id decl :: subst) ) ctx ([], []) in let discharge_rel_context (subst, usubst) n rel = let rel = Context.Rel.map (Cooking.expmod_constr repl) rel in let fold decl (ctx, k) = let map c = subst_univs_level_constr usubst (substn_vars k subst c) in RelDecl.map_constr map decl :: ctx, succ k in let ctx, _ = List.fold_right fold rel ([], n) in ctx in let abs_context cl = let open GlobRef in match cl.cl_impl with | VarRef _ | ConstructRef _ -> assert false | ConstRef cst -> Lib.section_segment_of_constant cst | IndRef (ind,_) -> Lib.section_segment_of_mutual_inductive ind in let discharge_context ctx' subst (grs, ctx) = let env = Global.env () in let sigma = Evd.from_env env in let grs' = let newgrs = List.map (fun decl -> match decl |> RelDecl.get_type |> EConstr.of_constr |> class_of_constr env sigma with | None -> None | Some (_, ((tc,_), _)) -> Some tc.cl_impl) ctx' in grs @ newgrs in grs', discharge_rel_context subst 1 ctx @ ctx' in try let info = abs_context cl in let ctx = info.Section.abstr_ctx in let ctx, subst = rel_of_variable_context ctx in let usubst, cl_univs' = Lib.discharge_abstract_universe_context info cl.cl_univs in let context = discharge_context ctx (subst, usubst) cl.cl_context in let props = discharge_rel_context (subst, usubst) (succ (List.length (fst cl.cl_context))) cl.cl_props in let discharge_proj x = x in { cl_univs = cl_univs'; cl_impl = cl.cl_impl; cl_context = context; cl_props = props; cl_projs = List.Smart.map discharge_proj cl.cl_projs; cl_strict = cl.cl_strict; cl_unique = cl.cl_unique } with Not_found -> (* not defined in the current section *) cl let rebuild_class cl = try let cst = Tacred.evaluable_of_global_reference (Global.env ()) cl.cl_impl in set_typeclass_transparency cst false false; cl with e when CErrors.noncritical e -> cl let class_input : typeclass -> obj = declare_object { (default_object "type classes state") with cache_function = cache_class; load_function = (fun _ -> cache_class); open_function = (fun _ -> cache_class); classify_function = (fun x -> Substitute x); discharge_function = (fun a -> Some (discharge_class a)); rebuild_function = rebuild_class; subst_function = subst_class } let add_class cl = Lib.add_anonymous_leaf (class_input cl) let add_class env sigma cl = add_class cl; List.iter (fun (n, inst, body) -> match inst with | Some (Backward, info) -> (match body with | None -> CErrors.user_err Pp.(str "Non-definable projection can not be declared as a subinstance") | Some b -> declare_instance ~warn:true env sigma (Some info) false (GlobRef.ConstRef b)) | _ -> ()) cl.cl_projs let intern_info {hint_priority;hint_pattern} = let env = Global.env() in let sigma = Evd.from_env env in let hint_pattern = Option.map (Constrintern.intern_constr_pattern env sigma) hint_pattern in {hint_priority;hint_pattern} (** TODO: add subinstances *) let existing_instance glob g info = let c = Nametab.global g in let info = Option.default Hints.empty_hint_info info in let info = intern_info info in let env = Global.env() in let sigma = Evd.from_env env in let instance, _ = Typeops.type_of_global_in_context env c in let _, r = Term.decompose_prod_assum instance in match class_of_constr env sigma (EConstr.of_constr r) with | Some (_, ((tc,u), _)) -> add_instance (mk_instance tc info glob c) | None -> user_err ?loc:g.CAst.loc ~hdr:"declare_instance" (Pp.str "Constant does not build instances of a declared type class.") (* Declare everything in the parameters as implicit, and the class instance as well *) let type_ctx_instance ~program_mode env sigma ctx inst subst = let open Vars in let rec aux (sigma, subst, instctx) l = function decl :: ctx -> let t' = substl subst (RelDecl.get_type decl) in let (sigma, c'), l = match decl with | LocalAssum _ -> interp_casted_constr_evars ~program_mode env sigma (List.hd l) t', List.tl l | LocalDef (_,b,_) -> (sigma, substl subst b), l in let d = RelDecl.get_name decl, Some c', t' in aux (sigma, c' :: subst, d :: instctx) l ctx | [] -> sigma, subst in aux (sigma, subst, []) inst (List.rev ctx) let id_of_class cl = let open GlobRef in match cl.cl_impl with | ConstRef kn -> Label.to_id @@ Constant.label kn | IndRef (kn,i) -> let mip = (Environ.lookup_mind kn (Global.env ())).Declarations.mind_packets in mip.(0).Declarations.mind_typename | _ -> assert false let instance_hook info global imps ?hook cst = Impargs.maybe_declare_manual_implicits false cst imps; let info = intern_info info in let env = Global.env () in let sigma = Evd.from_env env in declare_instance env sigma (Some info) (not global) cst; (match hook with Some h -> h cst | None -> ()) let declare_instance_constant info global imps ?hook name decl poly sigma term termtype = (* XXX: Duplication of the declare_constant path *) let sigma = let levels = Univ.LSet.union (CVars.universes_of_constr termtype) (CVars.universes_of_constr term) in Evd.restrict_universe_context sigma levels in let uctx = Evd.check_univ_decl ~poly sigma decl in let kind = Decls.(IsDefinition Instance) in let entry = Declare.definition_entry ~types:termtype ~univs:uctx term in let kn = Declare.declare_constant ~name ~kind (Declare.DefinitionEntry entry) in Declare.definition_message name; DeclareUniv.declare_univ_binders (GlobRef.ConstRef kn) (Evd.universe_binders sigma); instance_hook info global imps ?hook (GlobRef.ConstRef kn) let do_declare_instance sigma ~global ~poly k u ctx ctx' pri decl imps subst name = let subst = List.fold_left2 (fun subst' s decl -> if is_local_assum decl then s :: subst' else subst') [] subst (snd k.cl_context) in let (_, ty_constr) = instance_constructor (k,u) subst in let termtype = it_mkProd_or_LetIn ty_constr (ctx' @ ctx) in let sigma, entry = DeclareDef.prepare_parameter ~allow_evars:false ~poly sigma decl termtype in let cst = Declare.declare_constant ~name ~kind:Decls.(IsAssumption Logical) (Declare.ParameterEntry entry) in DeclareUniv.declare_univ_binders (GlobRef.ConstRef cst) (Evd.universe_binders sigma); instance_hook pri global imps (GlobRef.ConstRef cst) let declare_instance_program env sigma ~global ~poly id pri imps decl term termtype = let hook { DeclareDef.Hook.S.scope; dref; _ } = let cst = match dref with GlobRef.ConstRef kn -> kn | _ -> assert false in Impargs.declare_manual_implicits false dref imps; let pri = intern_info pri in let env = Global.env () in let sigma = Evd.from_env env in declare_instance env sigma (Some pri) (not global) (GlobRef.ConstRef cst) in let obls, constr, typ = match term with | Some t -> let termtype = EConstr.of_constr termtype in let obls, _, constr, typ = Obligations.eterm_obligations env id sigma 0 t termtype in obls, Some constr, typ | None -> [||], None, termtype in let hook = DeclareDef.Hook.make hook in let ctx = Evd.evar_universe_context sigma in ignore(Obligations.add_definition ~name:id ?term:constr ~univdecl:decl ~scope:(DeclareDef.Global Declare.ImportDefaultBehavior) ~poly ~kind:Decls.Instance ~hook typ ctx obls) let declare_instance_open sigma ?hook ~tac ~global ~poly id pri imps udecl ids term termtype = (* spiwack: it is hard to reorder the actions to do the pretyping after the proof has opened. As a consequence, we use the low-level primitives to code the refinement manually.*) let gls = List.rev (Evd.future_goals sigma) in let sigma = Evd.reset_future_goals sigma in let kind = Decls.(IsDefinition Instance) in let hook = DeclareDef.Hook.(make (fun { S.dref ; _ } -> instance_hook pri global imps ?hook dref)) in let info = Lemmas.Info.make ~hook ~kind () in let lemma = Lemmas.start_lemma ~name:id ~poly ~udecl ~info sigma (EConstr.of_constr termtype) in (* spiwack: I don't know what to do with the status here. *) let lemma = if not (Option.is_empty term) then let init_refine = Tacticals.New.tclTHENLIST [ Refine.refine ~typecheck:false (fun sigma -> (sigma, Option.get term)); Proofview.Unsafe.tclNEWGOALS (CList.map Proofview.with_empty_state gls); Tactics.New.reduce_after_refine; ] in let lemma, _ = Lemmas.by init_refine lemma in lemma else let lemma, _ = Lemmas.by (Tactics.auto_intros_tac ids) lemma in lemma in match tac with | Some tac -> let lemma, _ = Lemmas.by tac lemma in lemma | None -> lemma let do_instance_subst_constructor_and_ty subst k u ctx = let subst = List.fold_left2 (fun subst' s decl -> if is_local_assum decl then s :: subst' else subst') [] subst (k.cl_props @ snd k.cl_context) in let (app, ty_constr) = instance_constructor (k,u) subst in let termtype = it_mkProd_or_LetIn ty_constr ctx in let term = it_mkLambda_or_LetIn (Option.get app) ctx in term, termtype let do_instance_resolve_TC term termtype sigma env = let sigma = Evarutil.nf_evar_map sigma in let sigma = Typeclasses.resolve_typeclasses ~filter:Typeclasses.no_goals_or_obligations ~fail:true env sigma in (* Try resolving fields that are typeclasses automatically. *) let sigma = Typeclasses.resolve_typeclasses ~filter:Typeclasses.all_evars ~fail:false env sigma in let sigma = Evarutil.nf_evar_map_undefined sigma in (* Beware of this step, it is required as to minimize universes. *) let sigma = Evd.minimize_universes sigma in (* Check that the type is free of evars now. *) Pretyping.check_evars env (Evd.from_env env) sigma termtype; let termtype = to_constr sigma termtype in termtype, sigma let do_instance_type_ctx_instance props k env' ctx' sigma ~program_mode subst = let get_id qid = CAst.make ?loc:qid.CAst.loc @@ qualid_basename qid in let props, rest = List.fold_left (fun (props, rest) decl -> if is_local_assum decl then try let is_id (id', _) = match RelDecl.get_name decl, get_id id' with | Name id, {CAst.v=id'} -> Id.equal id id' | Anonymous, _ -> false in let (loc_mid, c) = List.find is_id rest in let rest' = List.filter (fun v -> not (is_id v)) rest in let {CAst.loc;v=mid} = get_id loc_mid in List.iter (fun (n, _, x) -> if Name.equal n (Name mid) then Option.iter (fun x -> Dumpglob.add_glob ?loc (GlobRef.ConstRef x)) x) k.cl_projs; c :: props, rest' with Not_found -> ((CAst.make @@ CHole (None(* Some Evar_kinds.GoalEvar *), Namegen.IntroAnonymous, None)) :: props), rest else props, rest) ([], props) k.cl_props in match rest with | (n, _) :: _ -> unbound_method env' sigma k.cl_impl (get_id n) | _ -> let kcl_props = List.map (Termops.map_rel_decl of_constr) k.cl_props in let sigma, res = type_ctx_instance ~program_mode (push_rel_context ctx' env') sigma kcl_props props subst in res, sigma let do_instance_interactive env sigma ?hook ~tac ~global ~poly cty k u ctx ctx' pri decl imps subst id = let term, termtype = if List.is_empty k.cl_props then let term, termtype = do_instance_subst_constructor_and_ty subst k u (ctx' @ ctx) in Some term, termtype else None, it_mkProd_or_LetIn cty ctx in let termtype, sigma = do_instance_resolve_TC term termtype sigma env in Flags.silently (fun () -> declare_instance_open sigma ?hook ~tac ~global ~poly id pri imps decl (List.map RelDecl.get_name ctx) term termtype) () let do_instance env env' sigma ?hook ~global ~poly cty k u ctx ctx' pri decl imps subst id props = let term, termtype, sigma = match props with | (true, { CAst.v = CRecord fs; loc }) -> check_duplicate ?loc fs; let subst, sigma = do_instance_type_ctx_instance fs k env' ctx' sigma ~program_mode:false subst in let term, termtype = do_instance_subst_constructor_and_ty subst k u (ctx' @ ctx) in term, termtype, sigma | (_, term) -> let sigma, def = interp_casted_constr_evars ~program_mode:false env' sigma term cty in let termtype = it_mkProd_or_LetIn cty ctx in let term = it_mkLambda_or_LetIn def ctx in term, termtype, sigma in let termtype, sigma = do_instance_resolve_TC (Some term) termtype sigma env in if Evd.has_undefined sigma then CErrors.user_err Pp.(str "Unsolved obligations remaining.") else let term = to_constr sigma term in declare_instance_constant pri global imps ?hook id decl poly sigma term termtype let do_instance_program env env' sigma ?hook ~global ~poly cty k u ctx ctx' pri decl imps subst id opt_props = let term, termtype, sigma = match opt_props with | Some (true, { CAst.v = CRecord fs; loc }) -> check_duplicate ?loc fs; let subst, sigma = do_instance_type_ctx_instance fs k env' ctx' sigma ~program_mode:true subst in let term, termtype = do_instance_subst_constructor_and_ty subst k u (ctx' @ ctx) in Some term, termtype, sigma | Some (_, term) -> let sigma, def = interp_casted_constr_evars ~program_mode:true env' sigma term cty in let termtype = it_mkProd_or_LetIn cty ctx in let term = it_mkLambda_or_LetIn def ctx in Some term, termtype, sigma | None -> let subst, sigma = do_instance_type_ctx_instance [] k env' ctx' sigma ~program_mode:true subst in let term, termtype = do_instance_subst_constructor_and_ty subst k u (ctx' @ ctx) in Some term, termtype, sigma in let termtype, sigma = do_instance_resolve_TC term termtype sigma env in if not (Evd.has_undefined sigma) && not (Option.is_empty opt_props) then let term = to_constr sigma (Option.get term) in declare_instance_constant pri global imps ?hook id decl poly sigma term termtype else declare_instance_program env sigma ~global ~poly id pri imps decl term termtype let interp_instance_context ~program_mode env ctx ~generalize pl tclass = let sigma, decl = Constrexpr_ops.interp_univ_decl_opt env pl in let tclass = if generalize then CAst.make @@ CGeneralization (Glob_term.Implicit, Some AbsPi, tclass) else tclass in let sigma, (impls, ((env', ctx), imps)) = interp_context_evars ~program_mode env sigma ctx in let sigma, (c', imps') = interp_type_evars_impls ~program_mode ~impls env' sigma tclass in let imps = imps @ imps' in let ctx', c = decompose_prod_assum sigma c' in let ctx'' = ctx' @ ctx in let (k, u), args = Typeclasses.dest_class_app (push_rel_context ctx'' env) sigma c in let u_s = EInstance.kind sigma u in let cl = Typeclasses.typeclass_univ_instance (k, u_s) in let args = List.map of_constr args in let cl_context = List.map (Termops.map_rel_decl of_constr) (snd cl.cl_context) in let _, args = List.fold_right (fun decl (args, args') -> match decl with | LocalAssum _ -> (List.tl args, List.hd args :: args') | LocalDef (_,b,_) -> (args, Vars.substl args' b :: args')) cl_context (args, []) in let sigma = Evarutil.nf_evar_map sigma in let sigma = resolve_typeclasses ~filter:Typeclasses.all_evars ~fail:true env sigma in sigma, cl, u, c', ctx', ctx, imps, args, decl let new_instance_common ~program_mode ~generalize env instid ctx cl = let ({CAst.loc;v=instid}, pl) = instid in let sigma, k, u, cty, ctx', ctx, imps, subst, decl = interp_instance_context ~program_mode env ~generalize ctx pl cl in (* The name generator should not be here *) let id = match instid with | Name id -> id | Anonymous -> let i = Nameops.add_suffix (id_of_class k) "_instance_0" in Namegen.next_global_ident_away i (Termops.vars_of_env env) in let env' = push_rel_context ctx env in id, env', sigma, k, u, cty, ctx', ctx, imps, subst, decl let new_instance_interactive ?(global=false) ~poly instid ctx cl ?(generalize=true) ?(tac:unit Proofview.tactic option) ?hook pri = let env = Global.env() in let id, env', sigma, k, u, cty, ctx', ctx, imps, subst, decl = new_instance_common ~program_mode:false ~generalize env instid ctx cl in id, do_instance_interactive env sigma ?hook ~tac ~global ~poly cty k u ctx ctx' pri decl imps subst id let new_instance_program ?(global=false) ~poly instid ctx cl opt_props ?(generalize=true) ?hook pri = let env = Global.env() in let id, env', sigma, k, u, cty, ctx', ctx, imps, subst, decl = new_instance_common ~program_mode:true ~generalize env instid ctx cl in do_instance_program env env' sigma ?hook ~global ~poly cty k u ctx ctx' pri decl imps subst id opt_props; id let new_instance ?(global=false) ~poly instid ctx cl props ?(generalize=true) ?hook pri = let env = Global.env() in let id, env', sigma, k, u, cty, ctx', ctx, imps, subst, decl = new_instance_common ~program_mode:false ~generalize env instid ctx cl in do_instance env env' sigma ?hook ~global ~poly cty k u ctx ctx' pri decl imps subst id props; id let declare_new_instance ?(global=false) ~program_mode ~poly instid ctx cl pri = let env = Global.env() in let ({CAst.loc;v=instid}, pl) = instid in let sigma, k, u, cty, ctx', ctx, imps, subst, decl = interp_instance_context ~program_mode ~generalize:false env ctx pl cl in do_declare_instance sigma ~global ~poly k u ctx ctx' pri decl imps subst instid