(************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) (* let n = Name i in let t' = interp_binder_evars isevars env n t in let d = (i,None,t') in (push_named d env, i :: ids, d::params)) (env, avoid, []) l let interp_typeclass_context_evars isevars env avoid l = List.fold_left (fun (env, ids, params) (iid, bk, l) -> let t' = interp_binder_evars isevars env (snd iid) l in let i = match snd iid with | Anonymous -> Nameops.next_name_away (Termops.named_hd env t' Anonymous) ids | Name id -> id in let d = (i,None,t') in (push_named d env, i :: ids, d::params)) (env, avoid, []) l let interp_constrs_evars isevars env avoid l = List.fold_left (fun (env, ids, params) t -> let t' = interp_binder_evars isevars env Anonymous t in let id = Nameops.next_name_away (Termops.named_hd env t' Anonymous) ids in let d = (id,None,t') in (push_named d env, id :: ids, d::params)) (env, avoid, []) l let raw_assum_of_binders k = List.map (fun ((loc,i),t) -> LocalRawAssum ([(loc, Name i)], k, t)) let raw_assum_of_constrs k = List.map2 (fun t (n,_,_) -> LocalRawAssum ([(dummy_loc, Name n)], k, t)) let raw_assum_of_anonymous_constrs k = List.map (fun t -> LocalRawAssum ([(dummy_loc, Anonymous)], k, t)) let decl_expr_of_binders = List.map (fun ((loc,i),t) -> false, Vernacexpr.AssumExpr ((loc, Name i), t)) let rec unfold n f acc = match n with | 0 -> f 0 acc | n -> unfold (n - 1) f (f n acc) (* Declare everything in the parameters as implicit, and the class instance as well *) open Topconstr let declare_implicit_proj c proj imps sub = let len = List.length c.cl_context in let (ctx, _) = decompose_prod_n (len + 1) (Typeops.type_of_constant (Global.env()) proj) in let expls = let rec aux i expls = function [] -> expls | (Name n, _) :: tl -> let impl = ExplByPos (i, Some n), (true, true) in aux (succ i) (impl :: List.remove_assoc (ExplByName n) expls) tl | (Anonymous,_) :: _ -> assert(false) in aux 1 [] ctx in let expls = expls @ List.map (function (ExplByPos (i, n), f) -> (ExplByPos (succ len + i, n)), f | _ -> assert(false)) imps in if sub then add_instance_hint (id_of_label (con_label proj)); Impargs.declare_manual_implicits true (ConstRef proj) true expls let declare_implicits impls subs cl = let projs = Recordops.lookup_projections cl.cl_impl in Util.list_iter3 (fun c imps sub -> match c with | None -> assert(false) | Some p -> declare_implicit_proj cl p imps sub) projs impls subs; let len = List.length cl.cl_context in let indimps = list_fold_left_i (fun i acc (is, (na, b, t)) -> if len - i <= cl.cl_params then acc else match is with None | Some (_, false) -> (ExplByPos (i, Some na), (false, true)) :: acc | _ -> acc) 1 [] (List.rev cl.cl_context) in Impargs.declare_manual_implicits true (IndRef cl.cl_impl) false indimps let rel_of_named_context subst l = List.fold_right (fun (id, _, t) (ctx, acc) -> (Name id, None, subst_vars acc t) :: ctx, id :: acc) l ([], subst) let ids_of_rel_context subst l = List.fold_right (fun (id, _, t) acc -> Nameops.out_name id :: acc) l subst let degenerate_decl (na,b,t) = let id = match na with | Name id -> id | Anonymous -> anomaly "Unnamed record variable" in match b with | None -> (id, Entries.LocalAssum t) | Some b -> (id, Entries.LocalDef b) let declare_structure env id idbuild params arity fields = let nparams = List.length params and nfields = List.length fields in let args = extended_rel_list nfields params in let ind = applist (mkRel (1+nparams+nfields), args) in let type_constructor = it_mkProd_or_LetIn ind fields in let mie_ind = { mind_entry_typename = id; mind_entry_arity = arity; mind_entry_consnames = [idbuild]; mind_entry_lc = [type_constructor] } in let mie = { mind_entry_params = List.map degenerate_decl params; mind_entry_record = true; mind_entry_finite = true; mind_entry_inds = [mie_ind] } in let kn = Command.declare_mutual_with_eliminations true mie in let rsp = (kn,0) in (* This is ind path of idstruc *) let kinds,sp_projs = Record.declare_projections rsp (List.map (fun _ -> false) fields) fields in let _build = ConstructRef (rsp,1) in Recordops.declare_structure(rsp,idbuild,List.rev kinds,List.rev sp_projs); rsp let interp_type_evars evdref env ?(impls=([],[])) typ = let typ' = intern_gen true ~impls (Evd.evars_of !evdref) env typ in let imps = Implicit_quantifiers.implicits_of_rawterm typ' in imps, Pretyping.Default.understand_tcc_evars evdref env Pretyping.IsType typ' let mk_interning_data env na impls typ = let impl = Impargs.compute_implicits_with_manual env typ (Impargs.is_implicit_args()) impls in (na, ([], impl, Notation.compute_arguments_scope typ)) let interp_fields_evars isevars env avoid l = List.fold_left (fun (env, uimpls, ids, params, impls) ((loc, i), _, t) -> let impl, t' = interp_type_evars isevars env ~impls t in let data = mk_interning_data env i impl t' in let d = (i,None,t') in (push_named d env, impl :: uimpls, Idset.add i ids, d::params, ([], data :: snd impls))) (env, [], avoid, [], ([], [])) l let name_typeclass_binder avoid = function | LocalRawAssum ([loc, Anonymous], bk, c) -> let name = let id = match c with CApp (_, (_, CRef (Ident (loc,id))), _) -> id | _ -> id_of_string "assum" in Implicit_quantifiers.make_fresh avoid (Global.env ()) id in LocalRawAssum ([loc, Name name], bk, c), Idset.add name avoid | x -> x, avoid let name_typeclass_binders avoid l = let l', avoid = List.fold_left (fun (binders, avoid) b -> let b', avoid = name_typeclass_binder avoid b in b' :: binders, avoid) ([], avoid) l in List.rev l', avoid let decompose_named_assum = let rec prodec_rec subst l c = match kind_of_term c with | Prod (Name na,t,c) -> let decl = (na,None,substl subst t) in let subst' = mkVar na :: subst in prodec_rec subst' (add_named_decl decl l) (substl subst' c) | Cast (c,_,_) -> prodec_rec subst l c | _ -> l,c in prodec_rec [] [] let push_named_context = List.fold_right push_named let new_class id par ar sup props = let env0 = Global.env() in let isevars = ref (Evd.create_evar_defs Evd.empty) in let bound = Implicit_quantifiers.ids_of_list (Termops.ids_of_context env0) in let bound, ids = Implicit_quantifiers.free_vars_of_binders ~bound [] (sup @ par) in let bound = Idset.union bound (Implicit_quantifiers.ids_of_list ids) in let sup, bound = name_typeclass_binders bound sup in let supnames = List.fold_left (fun acc b -> match b with LocalRawAssum (nl, _, _) -> nl @ acc | LocalRawDef _ -> assert(false)) [] sup in (* Interpret the arity *) let arity_imps, fullarity = let arity = CSort (fst ar, snd ar) in let term = prod_constr_expr (prod_constr_expr arity par) sup in interp_type_evars isevars env0 term in let ctx_params, arity = decompose_named_assum fullarity in let env_params = push_named_context ctx_params env0 in (* Interpret the definitions and propositions *) let env_props, prop_impls, bound, ctx_props, _ = interp_fields_evars isevars env_params bound props in let subs = List.map (fun ((loc, id), b, _) -> b) props in (* Instantiate evars and check all are resolved *) let isevars,_ = Evarconv.consider_remaining_unif_problems env_props !isevars in let sigma = Evd.evars_of isevars in let ctx_params = Evarutil.nf_named_context_evar sigma ctx_params in let ctx_props = Evarutil.nf_named_context_evar sigma ctx_props in let arity = Reductionops.nf_evar sigma arity in let ce t = Evarutil.check_evars env0 Evd.empty isevars t in let kn = let idb = id_of_string ("Build_" ^ (string_of_id (snd id))) in let params, subst = rel_of_named_context [] ctx_params (* @ ctx_super @ ctx_super_ctx) *) in let fields, _ = rel_of_named_context subst ctx_props in List.iter (fun (_,c,t) -> ce t; match c with Some c -> ce c | None -> ()) (params @ fields); declare_structure env0 (snd id) idb params arity fields in let ctx_context = List.map (fun ((na, b, t) as d) -> match Typeclasses.class_of_constr t with | Some cl -> (Some (cl.cl_name, List.exists (fun (_, n) -> n = Name na) supnames), d) | None -> (None, d)) ctx_params in let k = { cl_name = snd id; cl_params = List.length par; cl_context = ctx_context; cl_props = ctx_props; cl_impl = kn } in declare_implicits (List.rev prop_impls) subs k; add_class k type binder_def_list = (identifier located * identifier located list * constr_expr) list let binders_of_lidents l = List.map (fun (loc, id) -> LocalRawAssum ([loc, Name id], Default Rawterm.Implicit, CHole (loc, None))) l let subst_ids_in_named_context subst l = let x, _ = List.fold_right (fun (id, _, t) (ctx, k) -> (id, None, substn_vars k subst t) :: ctx, succ k) l ([], 1) in x let subst_one_named inst ids t = substnl inst 0 (substn_vars 1 ids t) let subst_named inst subst ctx = let ids = List.map (fun (id, _, _) -> id) subst in let ctx' = subst_ids_in_named_context ids ctx in let ctx', _ = List.fold_right (fun (id, _, t) (ctx, k) -> (id, None, substnl inst k t) :: ctx, succ k) ctx' ([], 0) in ctx' let destClass c = match kind_of_term c with App (c, args) -> (match kind_of_term c with | Ind ind -> (try class_of_inductive ind, args with _ -> assert false) | _ -> assert false) | _ -> assert false let infer_super_instances env params params_ctx super = let super = subst_named params params_ctx super in List.fold_right (fun (na, _, t) (sups, ids, supctx) -> let t = subst_one_named sups ids t in let inst = try resolve_one_typeclass env t with Not_found -> let cl, args = destClass t in no_instance (push_named_context supctx env) (dummy_loc, cl.cl_name) (Array.to_list args) in let d = (na, Some inst, t) in inst :: sups, na :: ids, d :: supctx) super ([], [], []) (* let evars_of_context ctx id n env = *) (* List.fold_right (fun (na, _, t) (n, env, nc) -> *) (* let b = Evarutil.e_new_evar isevars env ~src:(dummy_loc, ImplicitArg (Ident id, (n * Some na))) t in *) (* let d = (na, Some b, t) in *) (* (succ n, push_named d env, d :: nc)) *) (* ctx (n, env, []) *) let type_ctx_instance isevars env ctx inst subst = List.fold_left2 (fun (subst, instctx) (na, _, t) ce -> let t' = replace_vars subst t in let c = interp_casted_constr_evars isevars env ce t' in let d = na, Some c, t' in (na, c) :: subst, d :: instctx) (subst, []) (List.rev ctx) inst let substitution_of_constrs ctx cstrs = List.fold_right2 (fun c (na, _, _) acc -> (na, c) :: acc) cstrs ctx [] let destClassApp cl = match cl with | CApp (loc, (None,CRef (Ident f)), l) -> f, List.map fst l | _ -> raise Not_found let refine_ref = ref (fun _ -> assert(false)) open Pp let ($$) g f = fun x -> g (f x) let new_instance ctx (instid, bk, cl) props = let env = Global.env() in let isevars = ref (Evd.create_evar_defs Evd.empty) in let bound = Implicit_quantifiers.ids_of_list (Termops.ids_of_context env) in let bound, fvs = Implicit_quantifiers.free_vars_of_binders ~bound [] ctx in let tclass = match bk with | Explicit -> let id, par = Implicit_quantifiers.destClassAppExpl cl in let k = try class_info (snd id) with Not_found -> unbound_class env id in let applen = List.fold_left (fun acc (x, y) -> if y = None then succ acc else acc) 0 par in let needlen = List.fold_left (fun acc (x, y) -> if x = None then succ acc else acc) 0 k.cl_context in if needlen <> applen then mismatched_params env (List.map fst par) (List.map snd k.cl_context); let pars, _ = Implicit_quantifiers.combine_params Idset.empty (* need no avoid *) (fun avoid (clname, (id, _, t)) -> match clname with Some (cl, b) -> let t = if b then let _k = class_info cl in CHole (Util.dummy_loc, Some Evd.InternalHole) (* (Evd.ImplicitArg (IndRef k.cl_impl, (1, None)))) *) else CHole (Util.dummy_loc, None) in t, avoid | None -> failwith ("new instance: under-applied typeclass")) par (List.rev k.cl_context) in Topconstr.CAppExpl (Util.dummy_loc, (None, Ident id), pars) | Implicit -> cl in let ctx_bound = Idset.union bound (Implicit_quantifiers.ids_of_list fvs) in let gen_ids = Implicit_quantifiers.free_vars_of_constr_expr ~bound:ctx_bound tclass [] in let bound = Idset.union (Implicit_quantifiers.ids_of_list gen_ids) ctx_bound in let gen_ctx = Implicit_quantifiers.binder_list_of_ids gen_ids in let ctx, avoid = name_typeclass_binders bound ctx in let ctx = List.rev_append gen_ctx ctx in let k, ctx', subst = let c = Command.generalize_constr_expr tclass ctx in let _imps, c' = interp_type_evars isevars env c in let ctx, c = decompose_named_assum c' in (match kind_of_term c with App (c, args) -> let cl = Option.get (class_of_constr c) in cl, ctx, substitution_of_constrs (List.map snd cl.cl_context) (List.rev (Array.to_list args)) | _ -> let cl = Option.get (class_of_constr c) in cl, ctx, []) in let id = match snd instid with Name id -> let sp = Lib.make_path id in if Nametab.exists_cci sp then errorlabstrm "new_instance" (Nameops.pr_id id ++ Pp.str " already exists"); id | Anonymous -> let i = Nameops.add_suffix k.cl_name "_instance_0" in Termops.next_global_ident_away false i (Termops.ids_of_context env) in let env' = push_named_context ctx' env in isevars := Evarutil.nf_evar_defs !isevars; let sigma = Evd.evars_of !isevars in isevars := resolve_typeclasses env sigma !isevars; let sigma = Evd.evars_of !isevars in let substctx = Typeclasses.nf_substitution sigma subst in let subst, _propsctx = let props = List.map (fun (x, l, d) -> x, Topconstr.abstract_constr_expr d (binders_of_lidents l)) props in if List.length props > List.length k.cl_props then mismatched_props env' (List.map snd props) k.cl_props; let props, rest = List.fold_left (fun (props, rest) (id,_,_) -> try let (_, c) = List.find (fun ((_,id'), c) -> id' = id) rest in let rest' = List.filter (fun ((_,id'), c) -> id' <> id) rest in c :: props, rest' with Not_found -> (CHole (Util.dummy_loc, None) :: props), rest) ([], props) k.cl_props in if rest <> [] then unbound_method env' k.cl_name (fst (List.hd rest)) else type_ctx_instance isevars env' k.cl_props props substctx in let app = applistc (mkConstruct (k.cl_impl, 1)) (List.rev_map snd subst) in let term = Termops.it_mkNamedLambda_or_LetIn app ctx' in isevars := Evarutil.nf_evar_defs !isevars; let term = Evarutil.nf_isevar !isevars term in let termtype = let app = applistc (mkInd (k.cl_impl)) (List.rev_map snd substctx) in let t = it_mkNamedProd_or_LetIn app ctx' in Evarutil.nf_isevar !isevars t in let imps = Util.list_map_i (fun i (na, b, t) -> ExplByPos (i, Some na), (true, true)) 1 ctx' in let hook cst = let inst = { is_class = k; is_name = id; is_impl = cst; } in add_instance_hint id; Impargs.declare_manual_implicits false (ConstRef cst) false imps; Typeclasses.add_instance inst in let evm = Evd.evars_of (undefined_evars !isevars) in if evm = Evd.empty then let cdecl = let kind = IsDefinition Instance in let entry = { const_entry_body = term; const_entry_type = Some termtype; const_entry_opaque = false; const_entry_boxed = false } in DefinitionEntry entry, kind in let kn = Declare.declare_constant id cdecl in Flags.if_verbose Command.definition_message id; hook kn; id else let kind = Decl_kinds.Global, Decl_kinds.DefinitionBody Decl_kinds.Instance in Command.start_proof id kind termtype (fun _ -> function ConstRef cst -> hook cst | _ -> assert false); Pfedit.by (* (Refiner.tclTHEN (Refiner.tclEVARS (Evd.evars_of !isevars)) *) (!refine_ref (evm, term)); Flags.if_verbose (msg $$ Printer.pr_open_subgoals) (); id let goal_kind = Decl_kinds.Global, Decl_kinds.DefinitionBody Decl_kinds.Definition let solve_by_tac env evd evar evi t = let goal = {it = evi; sigma = (Evd.evars_of evd) } in let (res, valid) = t goal in if res.it = [] then let prooftree = valid [] in let proofterm, obls = Refiner.extract_open_proof res.sigma prooftree in if obls = [] then let evd' = evars_reset_evd res.sigma evd in let evd' = evar_define evar proofterm evd' in evd', true else evd, false else evd, false let context l = let env = Global.env() in let isevars = ref (Evd.create_evar_defs Evd.empty) in let avoid = Termops.ids_of_context env in let ctx, l = Implicit_quantifiers.resolve_class_binders (vars_of_env env) l in let env', avoid, ctx = interp_binders_evars isevars env avoid ctx in let env', avoid, l = interp_typeclass_context_evars isevars env' avoid l in isevars := Evarutil.nf_evar_defs !isevars; let sigma = Evd.evars_of !isevars in let fullctx = Evarutil.nf_named_context_evar sigma (l @ ctx) in List.iter (function (id,_,t) -> Command.declare_one_assumption false (Local (* global *), Definitional) t [] false (* inline *) (dummy_loc, id)) (List.rev fullctx) open Libobject let module_qualid = qualid_of_dirpath (dirpath_of_string "Coq.Classes.Init") let tactic_qualid = make_qualid (dirpath_of_string "Coq.Classes.Init") (id_of_string "typeclass_instantiation") let tactic_expr = Tacexpr.TacArg (Tacexpr.Reference (Qualid (dummy_loc, tactic_qualid))) let tactic = lazy (Tacinterp.interp tactic_expr) let _ = Typeclasses.solve_instanciation_problem := (fun env evd ev evi -> Library.require_library [(dummy_loc, module_qualid)] None; (* may be inefficient *) solve_by_tac env evd ev evi (Lazy.force tactic)) (* let prod = lazy_fun Coqlib.build_prod *) (* let build_conjunction evm = *) (* List.fold_left *) (* (fun (acc, evs) (ev, evi) -> *) (* if class_of_constr evi.evar_concl <> None then *) (* mkApp ((Lazy.force prod).Coqlib.typ, [|evi.evar_concl; acc |]), evs *) (* else acc, Evd.add evs ev evi) *) (* (Coqlib.build_coq_True (), Evd.empty) evm *) (* let destruct_conjunction evm_list evm evm' term = *) (* let _, evm = *) (* List.fold_right *) (* (fun (ev, evi) (term, evs) -> *) (* if class_of_constr evi.evar_concl <> None then *) (* match kind_of_term term with *) (* | App (x, [| _ ; _ ; proof ; term |]) -> *) (* let evs' = Evd.define evs ev proof in *) (* (term, evs') *) (* | _ -> assert(false) *) (* else *) (* match (Evd.find evm' ev).evar_body with *) (* Evar_empty -> raise Not_found *) (* | Evar_defined c -> *) (* let evs' = Evd.define evs ev c in *) (* (term, evs')) *) (* evm_list (term, evm) *) (* in evm *) (* let solve_by_tac env evd evar evi t = *) (* let goal = {it = evi; sigma = (Evd.evars_of evd) } in *) (* let (res, valid) = t goal in *) (* if res.it = [] then *) (* let prooftree = valid [] in *) (* let proofterm, obls = Refiner.extract_open_proof res.sigma prooftree in *) (* if obls = [] then *) (* let evd' = evars_reset_evd res.sigma evd in *) (* let evd' = evar_define evar proofterm evd' in *) (* evd', true *) (* else evd, false *) (* else evd, false *) (* let resolve_all_typeclasses env evd = *) (* let evm = Evd.evars_of evd in *) (* let evm_list = Evd.to_list evm in *) (* let goal, typesevm = build_conjunction evm_list in *) (* let evars = ref (Evd.create_evar_defs typesevm) in *) (* let term = resolve_one_typeclass_evd env evars goal in *) (* let evm' = destruct_conjunction evm_list evm (Evd.evars_of !evars) term in *) (* Evd.create_evar_defs evm' *) (* let _ = *) (* Typeclasses.solve_instanciations_problem := *) (* (fun env evd -> *) (* Library.require_library [(dummy_loc, module_qualid)] None; (\* may be inefficient *\) *) (* resolve_all_typeclasses env evd) *) let solve_evars_by_tac env evd t = let ev = make_evar empty_named_context_val mkProp in let goal = {it = ev; sigma = (Evd.evars_of evd) } in let (res, valid) = t goal in let evd' = evars_reset_evd res.sigma evd in evd' (* Library.require_library [(dummy_loc, module_qualid)] None (a\* may be inefficient *\); *) (* let _ = *) (* Typeclasses.solve_instanciations_problem := *) (* (fun env evd -> *) (* Eauto.resolve_all_evars false (true, 15) env *) (* (fun ev evi -> is_implicit_arg (snd (evar_source ev evd)) *) (* && class_of_constr evi.evar_concl <> None) evd) *)