diff options
Diffstat (limited to 'ltac/class_tactics.ml')
| -rw-r--r-- | ltac/class_tactics.ml | 903 |
1 files changed, 0 insertions, 903 deletions
diff --git a/ltac/class_tactics.ml b/ltac/class_tactics.ml deleted file mode 100644 index 4855598989..0000000000 --- a/ltac/class_tactics.ml +++ /dev/null @@ -1,903 +0,0 @@ -(************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) -(* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) -(************************************************************************) - -open Pp -open Errors -open Util -open Names -open Term -open Termops -open Reduction -open Proof_type -open Tacticals -open Tacmach -open Tactics -open Clenv -open Typeclasses -open Globnames -open Evd -open Locus -open Misctypes -open Proofview.Notations -open Hints - -(** Hint database named "typeclass_instances", now created directly in Auto *) - -let typeclasses_debug = ref false -let typeclasses_depth = ref None - -let typeclasses_modulo_eta = ref false -let set_typeclasses_modulo_eta d = (:=) typeclasses_modulo_eta d -let get_typeclasses_modulo_eta () = !typeclasses_modulo_eta - -let typeclasses_dependency_order = ref false -let set_typeclasses_dependency_order d = (:=) typeclasses_dependency_order d -let get_typeclasses_dependency_order () = !typeclasses_dependency_order - -let typeclasses_iterative_deepening = ref false -let set_typeclasses_iterative_deepening d = (:=) typeclasses_iterative_deepening d -let get_typeclasses_iterative_deepening () = !typeclasses_iterative_deepening - -open Goptions - -let _ = - declare_bool_option - { optsync = true; - optdepr = false; - optname = "do typeclass search modulo eta conversion"; - optkey = ["Typeclasses";"Modulo";"Eta"]; - optread = get_typeclasses_modulo_eta; - optwrite = set_typeclasses_modulo_eta; } - -let _ = - declare_bool_option - { optsync = true; - optdepr = false; - optname = "during typeclass resolution, solve instances according to their dependency order"; - optkey = ["Typeclasses";"Dependency";"Order"]; - optread = get_typeclasses_dependency_order; - optwrite = set_typeclasses_dependency_order; } - -let _ = - declare_bool_option - { optsync = true; - optdepr = false; - optname = "use iterative deepening strategy"; - optkey = ["Typeclasses";"Iterative";"Deepening"]; - optread = get_typeclasses_iterative_deepening; - optwrite = set_typeclasses_iterative_deepening; } - -(** We transform the evars that are concerned by this resolution - (according to predicate p) into goals. - Invariant: function p only manipulates and returns undefined evars *) - -let top_sort evm undefs = - let l' = ref [] in - let tosee = ref undefs in - let rec visit ev evi = - let evs = Evarutil.undefined_evars_of_evar_info evm evi in - Evar.Set.iter (fun ev -> - if Evar.Map.mem ev !tosee then - visit ev (Evar.Map.find ev !tosee)) evs; - tosee := Evar.Map.remove ev !tosee; - l' := ev :: !l'; - in - while not (Evar.Map.is_empty !tosee) do - let ev, evi = Evar.Map.min_binding !tosee in - visit ev evi - done; - List.rev !l' - -let evars_to_goals p evm = - let goals = ref Evar.Map.empty in - let map ev evi = - let evi, goal = p evm ev evi in - let () = if goal then goals := Evar.Map.add ev evi !goals in - evi - in - let evm = Evd.raw_map_undefined map evm in - if Evar.Map.is_empty !goals then None - else Some (!goals, evm) - -(** Typeclasses instance search tactic / eauto *) - -open Auto - -open Unification - -let auto_core_unif_flags st freeze = { - modulo_conv_on_closed_terms = Some st; - use_metas_eagerly_in_conv_on_closed_terms = true; - use_evars_eagerly_in_conv_on_closed_terms = false; - modulo_delta = st; - modulo_delta_types = st; - check_applied_meta_types = false; - use_pattern_unification = true; - use_meta_bound_pattern_unification = true; - frozen_evars = freeze; - restrict_conv_on_strict_subterms = false; (* ? *) - modulo_betaiota = true; - modulo_eta = !typeclasses_modulo_eta; -} - -let auto_unif_flags freeze st = - let fl = auto_core_unif_flags st freeze in - { core_unify_flags = fl; - merge_unify_flags = fl; - subterm_unify_flags = fl; - allow_K_in_toplevel_higher_order_unification = false; - resolve_evars = false -} - -let rec eq_constr_mod_evars x y = - match kind_of_term x, kind_of_term y with - | Evar (e1, l1), Evar (e2, l2) when not (Evar.equal e1 e2) -> true - | _, _ -> compare_constr eq_constr_mod_evars x y - -let progress_evars t = - Proofview.Goal.nf_enter { enter = begin fun gl -> - let concl = Proofview.Goal.concl gl in - let check = - Proofview.Goal.nf_enter { enter = begin fun gl' -> - let newconcl = Proofview.Goal.concl gl' in - if eq_constr_mod_evars concl newconcl - then Tacticals.New.tclFAIL 0 (str"No progress made (modulo evars)") - else Proofview.tclUNIT () - end } - in t <*> check - end } - - -let e_give_exact flags poly (c,clenv) gl = - let (c, _, _) = c in - let c, gl = - if poly then - let clenv', subst = Clenv.refresh_undefined_univs clenv in - let evd = evars_reset_evd ~with_conv_pbs:true gl.sigma clenv'.evd in - let c = Vars.subst_univs_level_constr subst c in - c, {gl with sigma = evd} - else c, gl - in - let t1 = pf_unsafe_type_of gl c in - tclTHEN (Proofview.V82.of_tactic (Clenvtac.unify ~flags t1)) (exact_no_check c) gl - -let unify_e_resolve poly flags = { enter = begin fun gls (c,clenv) -> - let clenv', c = connect_hint_clenv poly c clenv gls in - let clenv' = Tacmach.New.of_old (clenv_unique_resolver ~flags clenv') gls in - Clenvtac.clenv_refine true ~with_classes:false clenv' - end } - -let unify_resolve poly flags = { enter = begin fun gls (c,clenv) -> - let clenv', _ = connect_hint_clenv poly c clenv gls in - let clenv' = Tacmach.New.of_old (clenv_unique_resolver ~flags clenv') gls in - Clenvtac.clenv_refine false ~with_classes:false clenv' - end } - -let clenv_of_prods poly nprods (c, clenv) gl = - let (c, _, _) = c in - if poly || Int.equal nprods 0 then Some clenv - else - let ty = Tacmach.New.pf_unsafe_type_of gl c in - let diff = nb_prod ty - nprods in - if Pervasives.(>=) diff 0 then - (* Was Some clenv... *) - Some (Tacmach.New.of_old (fun gls -> mk_clenv_from_n gls (Some diff) (c,ty)) gl) - else None - -let with_prods nprods poly (c, clenv) f = - Proofview.Goal.nf_enter { enter = begin fun gl -> - match clenv_of_prods poly nprods (c, clenv) gl with - | None -> Tacticals.New.tclZEROMSG (str"Not enough premisses") - | Some clenv' -> f.enter gl (c, clenv') - end } - -(** Hack to properly solve dependent evars that are typeclasses *) - -let rec e_trivial_fail_db db_list local_db goal = - let tacl = - Proofview.V82.of_tactic Eauto.registered_e_assumption :: - (tclTHEN (Proofview.V82.of_tactic Tactics.intro) - (function g'-> - let d = pf_last_hyp g' in - let hintl = make_resolve_hyp (pf_env g') (project g') d in - (e_trivial_fail_db db_list - (Hint_db.add_list (pf_env g') (project g') hintl local_db) g'))) :: - (List.map (fun (x,_,_,_,_) -> x) - (e_trivial_resolve db_list local_db (project goal) (pf_concl goal))) - in - tclFIRST (List.map tclCOMPLETE tacl) goal - -and e_my_find_search db_list local_db hdc complete sigma concl = - let prods, concl = decompose_prod_assum concl in - let nprods = List.length prods in - let freeze = - try - let cl = Typeclasses.class_info (fst hdc) in - if cl.cl_strict then - Evd.evars_of_term concl - else Evar.Set.empty - with e when Errors.noncritical e -> Evar.Set.empty - in - let hintl = - List.map_append - (fun db -> - let tacs = - if Hint_db.use_dn db then (* Using dnet *) - Hint_db.map_eauto hdc concl db - else Hint_db.map_existential hdc concl db - in - let flags = auto_unif_flags freeze (Hint_db.transparent_state db) in - List.map (fun x -> (flags, x)) tacs) - (local_db::db_list) - in - let tac_of_hint = - fun (flags, {pri = b; pat = p; poly = poly; code = t; name = name}) -> - let tac = function - | Res_pf (term,cl) -> with_prods nprods poly (term,cl) (unify_resolve poly flags) - | ERes_pf (term,cl) -> with_prods nprods poly (term,cl) (unify_e_resolve poly flags) - | Give_exact c -> Proofview.V82.tactic (e_give_exact flags poly c) - | Res_pf_THEN_trivial_fail (term,cl) -> - Proofview.V82.tactic (tclTHEN - (Proofview.V82.of_tactic ((with_prods nprods poly (term,cl) (unify_e_resolve poly flags)))) - (if complete then tclIDTAC else e_trivial_fail_db db_list local_db)) - | Unfold_nth c -> Proofview.V82.tactic (tclWEAK_PROGRESS (Proofview.V82.of_tactic (unfold_in_concl [AllOccurrences,c]))) - | Extern tacast -> conclPattern concl p tacast - in - let tac = Proofview.V82.of_tactic (run_hint t tac) in - let tac = if complete then tclCOMPLETE tac else tac in - match repr_hint t with - | Extern _ -> (tac,b,true, name, lazy (pr_hint t)) - | _ -> -(* let tac gl = with_pattern (pf_env gl) (project gl) flags p concl tac gl in *) - (tac,b,false, name, lazy (pr_hint t)) - in List.map tac_of_hint hintl - -and e_trivial_resolve db_list local_db sigma concl = - try - e_my_find_search db_list local_db - (decompose_app_bound concl) true sigma concl - with Bound | Not_found -> [] - -let e_possible_resolve db_list local_db sigma concl = - try - e_my_find_search db_list local_db - (decompose_app_bound concl) false sigma concl - with Bound | Not_found -> [] - -let catchable = function - | Refiner.FailError _ -> true - | e -> Logic.catchable_exception e - -let pr_ev evs ev = Printer.pr_constr_env (Goal.V82.env evs ev) evs (Evarutil.nf_evar evs (Goal.V82.concl evs ev)) - -let pr_depth l = prlist_with_sep (fun () -> str ".") int (List.rev l) - -type autoinfo = { hints : hint_db; is_evar: existential_key option; - only_classes: bool; unique : bool; - auto_depth: int list; auto_last_tac: std_ppcmds Lazy.t; - auto_path : global_reference option list; - auto_cut : hints_path } -type autogoal = goal * autoinfo -type failure = NotApplicable | ReachedLimit -type 'ans fk = failure -> 'ans -type ('a,'ans) sk = 'a -> 'ans fk -> 'ans -type 'a tac = { skft : 'ans. ('a,'ans) sk -> 'ans fk -> autogoal sigma -> 'ans } - -type auto_result = autogoal list sigma - -type atac = auto_result tac - -(* Some utility types to avoid the need of -rectypes *) - -type 'a optionk = - | Nonek - | Somek of 'a * 'a optionk fk - -type ('a,'b) optionk2 = - | Nonek2 of failure - | Somek2 of 'a * 'b * ('a,'b) optionk2 fk - -let make_resolve_hyp env sigma st flags only_classes pri decl = - let open Context.Named.Declaration in - let id = get_id decl in - let cty = Evarutil.nf_evar sigma (get_type decl) in - let rec iscl env ty = - let ctx, ar = decompose_prod_assum ty in - match kind_of_term (fst (decompose_app ar)) with - | Const (c,_) -> is_class (ConstRef c) - | Ind (i,_) -> is_class (IndRef i) - | _ -> - let env' = Environ.push_rel_context ctx env in - let ty' = whd_betadeltaiota env' ar in - if not (Term.eq_constr ty' ar) then iscl env' ty' - else false - in - let is_class = iscl env cty in - let keep = not only_classes || is_class in - if keep then - let c = mkVar id in - let name = PathHints [VarRef id] in - let hints = - if is_class then - let hints = build_subclasses ~check:false env sigma (VarRef id) None in - (List.map_append - (fun (path,pri, c) -> make_resolves env sigma ~name:(PathHints path) - (true,false,Flags.is_verbose()) pri false - (IsConstr (c,Univ.ContextSet.empty))) - hints) - else [] - in - (hints @ List.map_filter - (fun f -> try Some (f (c, cty, Univ.ContextSet.empty)) - with Failure _ | UserError _ -> None) - [make_exact_entry ~name env sigma pri false; - make_apply_entry ~name env sigma flags pri false]) - else [] - -let pf_filtered_hyps gls = - Goal.V82.hyps gls.Evd.sigma (sig_it gls) - -let make_hints g st only_classes sign = - let paths, hintlist = - List.fold_left - (fun (paths, hints) hyp -> - let consider = - let open Context.Named.Declaration in - try let t = Global.lookup_named (get_id hyp) |> get_type in - (* Section variable, reindex only if the type changed *) - not (Term.eq_constr t (get_type hyp)) - with Not_found -> true - in - if consider then - let path, hint = - PathEmpty, pf_apply make_resolve_hyp g st (true,false,false) only_classes None hyp - in - (PathOr (paths, path), hint @ hints) - else (paths, hints)) - (PathEmpty, []) sign - in Hint_db.add_list (pf_env g) (project g) hintlist (Hint_db.empty st true) - -let make_autogoal_hints = - let cache = ref (true, Environ.empty_named_context_val, - Hint_db.empty full_transparent_state true) - in - fun only_classes ?(st=full_transparent_state) g -> - let sign = pf_filtered_hyps g in - let (onlyc, sign', cached_hints) = !cache in - if onlyc == only_classes && - (sign == sign' || Environ.eq_named_context_val sign sign') - && Hint_db.transparent_state cached_hints == st - then - cached_hints - else - let hints = make_hints g st only_classes (Environ.named_context_of_val sign) in - cache := (only_classes, sign, hints); hints - -let lift_tactic tac (f : goal list sigma -> autoinfo -> autogoal list sigma) : 'a tac = - { skft = fun sk fk {it = gl,hints; sigma=s;} -> - let res = try Some (tac {it=gl; sigma=s;}) - with e when catchable e -> None in - match res with - | Some gls -> sk (f gls hints) fk - | None -> fk NotApplicable } - -let intro_tac : atac = - lift_tactic (Proofview.V82.of_tactic Tactics.intro) - (fun {it = gls; sigma = s} info -> - let gls' = - List.map (fun g' -> - let env = Goal.V82.env s g' in - let context = Environ.named_context_of_val (Goal.V82.hyps s g') in - let hint = make_resolve_hyp env s (Hint_db.transparent_state info.hints) - (true,false,false) info.only_classes None (List.hd context) in - let ldb = Hint_db.add_list env s hint info.hints in - (g', { info with is_evar = None; hints = ldb; auto_last_tac = lazy (str"intro") })) gls - in {it = gls'; sigma = s;}) - -let normevars_tac : atac = - { skft = fun sk fk {it = (gl, info); sigma = s;} -> - let gl', sigma' = Goal.V82.nf_evar s gl in - let info' = { info with auto_last_tac = lazy (str"normevars") } in - sk {it = [gl', info']; sigma = sigma';} fk } - -let merge_failures x y = - match x, y with - | _, ReachedLimit - | ReachedLimit, _ -> ReachedLimit - | NotApplicable, NotApplicable -> NotApplicable - -let or_tac (x : 'a tac) (y : 'a tac) : 'a tac = - { skft = fun sk fk gls -> x.skft sk - (fun f -> y.skft sk (fun f' -> fk (merge_failures f f')) gls) gls } - -let or_else_tac (x : 'a tac) (y : failure -> 'a tac) : 'a tac = - { skft = fun sk fk gls -> x.skft sk - (fun f -> (y f).skft sk fk gls) gls } - -let is_Prop env sigma concl = - let ty = Retyping.get_type_of env sigma concl in - match kind_of_term ty with - | Sort (Prop Null) -> true - | _ -> false - -let is_unique env concl = - try - let (cl,u), args = dest_class_app env concl in - cl.cl_unique - with e when Errors.noncritical e -> false - -let needs_backtrack env evd oev concl = - if Option.is_empty oev || is_Prop env evd concl then - occur_existential concl - else true - -let hints_tac hints = - { skft = fun sk fk {it = gl,info; sigma = s;} -> - let env = Goal.V82.env s gl in - let concl = Goal.V82.concl s gl in - let tacgl = {it = gl; sigma = s;} in - let poss = e_possible_resolve hints info.hints s concl in - let unique = is_unique env concl in - let rec aux i foundone = function - | (tac, _, b, name, pp) :: tl -> - let derivs = path_derivate info.auto_cut name in - let res = - try - if path_matches derivs [] then None else Some (tac tacgl) - with e when catchable e -> None - in - (match res with - | None -> aux i foundone tl - | Some {it = gls; sigma = s';} -> - if !typeclasses_debug then - msg_debug (pr_depth (i :: info.auto_depth) ++ str": " ++ Lazy.force pp - ++ str" on" ++ spc () ++ pr_ev s gl); - let sgls = - evars_to_goals - (fun evm ev evi -> - if Typeclasses.is_resolvable evi && not (Evd.is_undefined s ev) && - (not info.only_classes || Typeclasses.is_class_evar evm evi) - then Typeclasses.mark_unresolvable evi, true - else evi, false) s' - in - let newgls, s' = - let gls' = List.map (fun g -> (None, g)) gls in - match sgls with - | None -> gls', s' - | Some (evgls, s') -> - if not !typeclasses_dependency_order then - (gls' @ List.map (fun (ev,_) -> (Some ev, ev)) (Evar.Map.bindings evgls), s') - else - (* Reorder with dependent subgoals. *) - let evm = List.fold_left - (fun acc g -> Evar.Map.add g (Evd.find_undefined s' g) acc) evgls gls in - let gls = top_sort s' evm in - (List.map (fun ev -> Some ev, ev) gls, s') - in - let gls' = List.map_i - (fun j (evar, g) -> - let info = - { info with auto_depth = j :: i :: info.auto_depth; auto_last_tac = pp; - is_evar = evar; - hints = - if b && not (Environ.eq_named_context_val (Goal.V82.hyps s' g) - (Goal.V82.hyps s' gl)) - then make_autogoal_hints info.only_classes - ~st:(Hint_db.transparent_state info.hints) {it = g; sigma = s';} - else info.hints; - auto_cut = derivs } - in g, info) 1 newgls in - let glsv = {it = gls'; sigma = s';} in - let fk' = - (fun e -> - let do_backtrack = - if unique then occur_existential concl - else if info.unique then true - else if List.is_empty gls' then - needs_backtrack env s' info.is_evar concl - else true - in - let e' = match foundone with None -> e | Some e' -> merge_failures e e' in - if !typeclasses_debug then - msg_debug - ((if do_backtrack then str"Backtracking after " - else str "Not backtracking after ") - ++ Lazy.force pp); - if do_backtrack then aux (succ i) (Some e') tl - else fk e') - in - sk glsv fk') - | [] -> - if foundone == None && !typeclasses_debug then - msg_debug (pr_depth info.auto_depth ++ str": no match for " ++ - Printer.pr_constr_env (Goal.V82.env s gl) s concl ++ - spc () ++ str ", " ++ int (List.length poss) ++ str" possibilities"); - match foundone with - | Some e -> fk e - | None -> fk NotApplicable - in aux 1 None poss } - -let then_list (second : atac) (sk : (auto_result, 'a) sk) : (auto_result, 'a) sk = - let rec aux s (acc : autogoal list list) fk = function - | (gl,info) :: gls -> - Control.check_for_interrupt (); - (match info.is_evar with - | Some ev when Evd.is_defined s ev -> aux s acc fk gls - | _ -> - second.skft - (fun {it=gls';sigma=s'} fk' -> - let fk'' = - if not info.unique && List.is_empty gls' && - not (needs_backtrack (Goal.V82.env s gl) s - info.is_evar (Goal.V82.concl s gl)) - then fk - else fk' - in - aux s' (gls'::acc) fk'' gls) - fk {it = (gl,info); sigma = s; }) - | [] -> Somek2 (List.rev acc, s, fk) - in fun {it = gls; sigma = s; } fk -> - let rec aux' = function - | Nonek2 e -> fk e - | Somek2 (res, s', fk') -> - let goals' = List.concat res in - sk {it = goals'; sigma = s'; } (fun e -> aux' (fk' e)) - in aux' (aux s [] (fun e -> Nonek2 e) gls) - -let then_tac (first : atac) (second : atac) : atac = - { skft = fun sk fk -> first.skft (then_list second sk) fk } - -let run_tac (t : 'a tac) (gl : autogoal sigma) : auto_result option = - t.skft (fun x _ -> Some x) (fun _ -> None) gl - -type run_list_res = auto_result optionk - -let run_list_tac (t : 'a tac) p goals (gl : autogoal list sigma) : run_list_res = - (then_list t (fun x fk -> Somek (x, fk))) - gl - (fun _ -> Nonek) - -let fail_tac reason : atac = - { skft = fun sk fk _ -> fk reason } - -let rec fix (t : 'a tac) : 'a tac = - then_tac t { skft = fun sk fk -> (fix t).skft sk fk } - -let rec fix_limit limit (t : 'a tac) : 'a tac = - if Int.equal limit 0 then fail_tac ReachedLimit - else then_tac t { skft = fun sk fk -> (fix_limit (pred limit) t).skft sk fk } - -let fix_iterative t = - let rec aux depth = - or_else_tac (fix_limit depth t) - (function - | NotApplicable as e -> fail_tac e - | ReachedLimit -> aux (succ depth)) - in aux 1 - -let fix_iterative_limit limit (t : 'a tac) : 'a tac = - let rec aux depth = - if Int.equal depth limit then fail_tac ReachedLimit - else or_tac (fix_limit depth t) { skft = fun sk fk -> (aux (succ depth)).skft sk fk } - in aux 1 - -let make_autogoal ?(only_classes=true) ?(unique=false) ?(st=full_transparent_state) cut ev g = - let hints = make_autogoal_hints only_classes ~st g in - (g.it, { hints = hints ; is_evar = ev; unique = unique; - only_classes = only_classes; auto_depth = []; auto_last_tac = lazy (str"none"); - auto_path = []; auto_cut = cut }) - - -let cut_of_hints h = - List.fold_left (fun cut db -> PathOr (Hint_db.cut db, cut)) PathEmpty h - -let make_autogoals ?(only_classes=true) ?(unique=false) - ?(st=full_transparent_state) hints gs evm' = - let cut = cut_of_hints hints in - { it = List.map_i (fun i g -> - let (gl, auto) = make_autogoal ~only_classes ~unique - ~st cut (Some g) {it = g; sigma = evm'; } in - (gl, { auto with auto_depth = [i]})) 1 gs; sigma = evm'; } - -let get_result r = - match r with - | Nonek -> None - | Somek (gls, fk) -> Some (gls.sigma,fk) - -let run_on_evars ?(only_classes=true) ?(unique=false) ?(st=full_transparent_state) p evm hints tac = - match evars_to_goals p evm with - | None -> None (* This happens only because there's no evar having p *) - | Some (goals, evm') -> - let goals = - if !typeclasses_dependency_order then - top_sort evm' goals - else List.map (fun (ev, _) -> ev) (Evar.Map.bindings goals) - in - let res = run_list_tac tac p goals - (make_autogoals ~only_classes ~unique ~st hints goals evm') in - match get_result res with - | None -> raise Not_found - | Some (evm', fk) -> - Some (evars_reset_evd ~with_conv_pbs:true ~with_univs:false evm' evm, fk) - -let eauto_tac hints = - then_tac normevars_tac (or_tac (hints_tac hints) intro_tac) - -let eauto_tac ?limit hints = - if get_typeclasses_iterative_deepening () then - match limit with - | None -> fix_iterative (eauto_tac hints) - | Some limit -> fix_iterative_limit limit (eauto_tac hints) - else - match limit with - | None -> fix (eauto_tac hints) - | Some limit -> fix_limit limit (eauto_tac hints) - -let real_eauto ?limit unique st hints p evd = - let res = - run_on_evars ~st ~unique p evd hints (eauto_tac ?limit hints) - in - match res with - | None -> evd - | Some (evd', fk) -> - if unique then - (match get_result (fk NotApplicable) with - | Some (evd'', fk') -> error "Typeclass resolution gives multiple solutions" - | None -> evd') - else evd' - -let resolve_all_evars_once debug limit unique p evd = - let db = searchtable_map typeclasses_db in - real_eauto ?limit unique (Hint_db.transparent_state db) [db] p evd - -let eauto ?(only_classes=true) ?st ?limit hints g = - let gl = { it = make_autogoal ~only_classes ?st (cut_of_hints hints) None g; sigma = project g; } in - match run_tac (eauto_tac ?limit hints) gl with - | None -> raise Not_found - | Some {it = goals; sigma = s; } -> - {it = List.map fst goals; sigma = s;} - -(** We compute dependencies via a union-find algorithm. - Beware of the imperative effects on the partition structure, - it should not be shared, but only used locally. *) - -module Intpart = Unionfind.Make(Evar.Set)(Evar.Map) - -let deps_of_constraints cstrs evm p = - List.iter (fun (_, _, x, y) -> - let evx = Evarutil.undefined_evars_of_term evm x in - let evy = Evarutil.undefined_evars_of_term evm y in - Intpart.union_set (Evar.Set.union evx evy) p) - cstrs - -let evar_dependencies evm p = - Evd.fold_undefined - (fun ev evi _ -> - let evars = Evar.Set.add ev (Evarutil.undefined_evars_of_evar_info evm evi) - in Intpart.union_set evars p) - evm () - -let resolve_one_typeclass env ?(sigma=Evd.empty) gl unique = - let nc, gl, subst, _, _ = Evarutil.push_rel_context_to_named_context env gl in - let (gl,t,sigma) = - Goal.V82.mk_goal sigma nc gl Store.empty in - let gls = { it = gl ; sigma = sigma; } in - let hints = searchtable_map typeclasses_db in - let gls' = eauto ?limit:!typeclasses_depth ~st:(Hint_db.transparent_state hints) [hints] gls in - let evd = sig_sig gls' in - let t' = let (ev, inst) = destEvar t in - mkEvar (ev, Array.of_list subst) - in - let term = Evarutil.nf_evar evd t' in - evd, term - -let _ = - Typeclasses.solve_instantiation_problem := - (fun x y z w -> resolve_one_typeclass x ~sigma:y z w) - -(** [split_evars] returns groups of undefined evars according to dependencies *) - -let split_evars evm = - let p = Intpart.create () in - evar_dependencies evm p; - deps_of_constraints (snd (extract_all_conv_pbs evm)) evm p; - Intpart.partition p - -let is_inference_forced p evd ev = - try - let evi = Evd.find_undefined evd ev in - if Typeclasses.is_resolvable evi && snd (p ev evi) - then - let (loc, k) = evar_source ev evd in - match k with - | Evar_kinds.ImplicitArg (_, _, b) -> b - | Evar_kinds.QuestionMark _ -> false - | _ -> true - else true - with Not_found -> assert false - -let is_mandatory p comp evd = - Evar.Set.exists (is_inference_forced p evd) comp - -(** In case of unsatisfiable constraints, build a nice error message *) - -let error_unresolvable env comp evd = - let evd = Evarutil.nf_evar_map_undefined evd in - let is_part ev = match comp with - | None -> true - | Some s -> Evar.Set.mem ev s - in - let fold ev evi (found, accu) = - let ev_class = class_of_constr evi.evar_concl in - if not (Option.is_empty ev_class) && is_part ev then - (* focus on one instance if only one was searched for *) - if not found then (true, Some ev) - else (found, None) - else (found, accu) - in - let (_, ev) = Evd.fold_undefined fold evd (true, None) in - Pretype_errors.unsatisfiable_constraints - (Evarutil.nf_env_evar evd env) evd ev comp - -(** Check if an evar is concerned by the current resolution attempt, - (and in particular is in the current component), and also update - its evar_info. - Invariant : this should only be applied to undefined evars, - and return undefined evar_info *) - -let select_and_update_evars p oevd in_comp evd ev evi = - assert (evi.evar_body == Evar_empty); - try - let oevi = Evd.find_undefined oevd ev in - if Typeclasses.is_resolvable oevi then - Typeclasses.mark_unresolvable evi, - (in_comp ev && p evd ev evi) - else evi, false - with Not_found -> - Typeclasses.mark_unresolvable evi, p evd ev evi - -(** Do we still have unresolved evars that should be resolved ? *) - -let has_undefined p oevd evd = - let check ev evi = snd (p oevd ev evi) in - Evar.Map.exists check (Evd.undefined_map evd) - -(** Revert the resolvability status of evars after resolution, - potentially unprotecting some evars that were set unresolvable - just for this call to resolution. *) - -let revert_resolvability oevd evd = - let map ev evi = - try - if not (Typeclasses.is_resolvable evi) then - let evi' = Evd.find_undefined oevd ev in - if Typeclasses.is_resolvable evi' then - Typeclasses.mark_resolvable evi - else evi - else evi - with Not_found -> evi - in - Evd.raw_map_undefined map evd - -(** If [do_split] is [true], we try to separate the problem in - several components and then solve them separately *) - -exception Unresolved - -let resolve_all_evars debug m unique env p oevd do_split fail = - let split = if do_split then split_evars oevd else [Evar.Set.empty] in - let in_comp comp ev = if do_split then Evar.Set.mem ev comp else true - in - let rec docomp evd = function - | [] -> revert_resolvability oevd evd - | comp :: comps -> - let p = select_and_update_evars p oevd (in_comp comp) in - try - let evd' = resolve_all_evars_once debug m unique p evd in - if has_undefined p oevd evd' then raise Unresolved; - docomp evd' comps - with Unresolved | Not_found -> - if fail && (not do_split || is_mandatory (p evd) comp evd) - then (* Unable to satisfy the constraints. *) - let comp = if do_split then Some comp else None in - error_unresolvable env comp evd - else (* Best effort: do nothing on this component *) - docomp evd comps - in docomp oevd split - -let initial_select_evars filter = - fun evd ev evi -> - filter ev (snd evi.Evd.evar_source) && - Typeclasses.is_class_evar evd evi - -let resolve_typeclass_evars debug m unique env evd filter split fail = - let evd = - try Evarconv.consider_remaining_unif_problems - ~ts:(Typeclasses.classes_transparent_state ()) env evd - with e when Errors.noncritical e -> evd - in - resolve_all_evars debug m unique env (initial_select_evars filter) evd split fail - -let solve_inst debug depth env evd filter unique split fail = - resolve_typeclass_evars debug depth unique env evd filter split fail - -let _ = - Typeclasses.solve_instantiations_problem := - solve_inst false !typeclasses_depth - -let set_typeclasses_debug d = (:=) typeclasses_debug d; - Typeclasses.solve_instantiations_problem := solve_inst d !typeclasses_depth - -let get_typeclasses_debug () = !typeclasses_debug - -let set_typeclasses_depth d = (:=) typeclasses_depth d; - Typeclasses.solve_instantiations_problem := solve_inst !typeclasses_debug !typeclasses_depth - -let get_typeclasses_depth () = !typeclasses_depth - -open Goptions - -let set_typeclasses_debug = - declare_bool_option - { optsync = true; - optdepr = false; - optname = "debug output for typeclasses proof search"; - optkey = ["Typeclasses";"Debug"]; - optread = get_typeclasses_debug; - optwrite = set_typeclasses_debug; } - -let set_typeclasses_depth = - declare_int_option - { optsync = true; - optdepr = false; - optname = "depth for typeclasses proof search"; - optkey = ["Typeclasses";"Depth"]; - optread = get_typeclasses_depth; - optwrite = set_typeclasses_depth; } - -let typeclasses_eauto ?(only_classes=false) ?(st=full_transparent_state) dbs gl = - try - let dbs = List.map_filter - (fun db -> try Some (searchtable_map db) - with e when Errors.noncritical e -> None) - dbs - in - let st = match dbs with x :: _ -> Hint_db.transparent_state x | _ -> st in - eauto ?limit:!typeclasses_depth ~only_classes ~st dbs gl - with Not_found -> tclFAIL 0 (str" typeclasses eauto failed on: " ++ Printer.pr_goal gl) gl - -(** Take the head of the arity of a constr. - Used in the partial application tactic. *) - -let rec head_of_constr t = - let t = strip_outer_cast(collapse_appl t) in - match kind_of_term t with - | Prod (_,_,c2) -> head_of_constr c2 - | LetIn (_,_,_,c2) -> head_of_constr c2 - | App (f,args) -> head_of_constr f - | _ -> t - -let head_of_constr h c = - let c = head_of_constr c in - letin_tac None (Name h) c None Locusops.allHyps - -let not_evar c = match kind_of_term c with -| Evar _ -> Tacticals.New.tclFAIL 0 (str"Evar") -| _ -> Proofview.tclUNIT () - -let is_ground c gl = - if Evarutil.is_ground_term (project gl) c then tclIDTAC gl - else tclFAIL 0 (str"Not ground") gl - -let autoapply c i gl = - let flags = auto_unif_flags Evar.Set.empty - (Hints.Hint_db.transparent_state (Hints.searchtable_map i)) in - let cty = pf_unsafe_type_of gl c in - let ce = mk_clenv_from gl (c,cty) in - let tac = { enter = fun gl -> (unify_e_resolve false flags).enter gl ((c,cty,Univ.ContextSet.empty),ce) } in - Proofview.V82.of_tactic (Proofview.Goal.nf_enter tac) gl |