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-(************************************************************************)
-(* 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 Names
-open Util
-open CAst
-open Tac2dyn
-open Tac2expr
-open Tac2qexpr
-
-(** Generic arguments *)
-
-let wit_pattern = Arg.create "pattern"
-let wit_reference = Arg.create "reference"
-let wit_ident = Arg.create "ident"
-let wit_constr = Arg.create "constr"
-let wit_open_constr = Arg.create "open_constr"
-let wit_ltac1 = Arg.create "ltac1"
-let wit_ltac1val = Arg.create "ltac1val"
-
-(** Syntactic quoting of expressions. *)
-
-let prefix_gen n =
- MPfile (DirPath.make (List.map Id.of_string [n; "Ltac2"]))
-
-let control_prefix = prefix_gen "Control"
-let pattern_prefix = prefix_gen "Pattern"
-let array_prefix = prefix_gen "Array"
-
-let kername prefix n = KerName.make prefix (Label.of_id (Id.of_string_soft n))
-let std_core n = kername Tac2env.std_prefix n
-let coq_core n = kername Tac2env.coq_prefix n
-let control_core n = kername control_prefix n
-let pattern_core n = kername pattern_prefix n
-
-let global_ref ?loc kn =
- CAst.make ?loc @@ CTacRef (AbsKn (TacConstant kn))
-
-let constructor ?loc kn args =
- let cst = CAst.make ?loc @@ CTacCst (AbsKn (Other kn)) in
- if List.is_empty args then cst
- else CAst.make ?loc @@ CTacApp (cst, args)
-
-let std_constructor ?loc name args =
- constructor ?loc (std_core name) args
-
-let std_proj ?loc name =
- AbsKn (std_core name)
-
-let thunk e =
- let t_unit = coq_core "unit" in
- let loc = e.loc in
- let ty = CAst.make?loc @@ CTypRef (AbsKn (Other t_unit), []) in
- let pat = CAst.make ?loc @@ CPatVar (Anonymous) in
- let pat = CAst.make ?loc @@ CPatCnv (pat, ty) in
- CAst.make ?loc @@ CTacFun ([pat], e)
-
-let of_pair f g {loc;v=(e1, e2)} =
- CAst.make ?loc @@ CTacApp (CAst.make ?loc @@ CTacCst (AbsKn (Tuple 2)), [f e1; g e2])
-
-let of_tuple ?loc el = match el with
-| [] ->
- CAst.make ?loc @@ CTacCst (AbsKn (Tuple 0))
-| [e] -> e
-| el ->
- let len = List.length el in
- CAst.make ?loc @@ CTacApp (CAst.make ?loc @@ CTacCst (AbsKn (Tuple len)), el)
-
-let of_int {loc;v=n} =
- CAst.make ?loc @@ CTacAtm (AtmInt n)
-
-let of_option ?loc f opt = match opt with
-| None -> constructor ?loc (coq_core "None") []
-| Some e -> constructor ?loc (coq_core "Some") [f e]
-
-let inj_wit ?loc wit x =
- CAst.make ?loc @@ CTacExt (wit, x)
-
-let of_variable {loc;v=id} =
- let qid = Libnames.qualid_of_ident ?loc id in
- if Tac2env.is_constructor qid then
- CErrors.user_err ?loc (str "Invalid identifier")
- else CAst.make ?loc @@ CTacRef (RelId qid)
-
-let of_anti f = function
-| QExpr x -> f x
-| QAnti id -> of_variable id
-
-let of_ident {loc;v=id} = inj_wit ?loc wit_ident id
-
-let of_constr c =
- let loc = Constrexpr_ops.constr_loc c in
- inj_wit ?loc wit_constr c
-
-let of_open_constr c =
- let loc = Constrexpr_ops.constr_loc c in
- inj_wit ?loc wit_open_constr c
-
-let of_bool ?loc b =
- let c = if b then coq_core "true" else coq_core "false" in
- constructor ?loc c []
-
-let rec of_list ?loc f = function
-| [] -> constructor (coq_core "[]") []
-| e :: l ->
- constructor ?loc (coq_core "::") [f e; of_list ?loc f l]
-
-let of_qhyp {loc;v=h} = match h with
-| QAnonHyp n -> std_constructor ?loc "AnonHyp" [of_int n]
-| QNamedHyp id -> std_constructor ?loc "NamedHyp" [of_ident id]
-
-let of_bindings {loc;v=b} = match b with
-| QNoBindings ->
- std_constructor ?loc "NoBindings" []
-| QImplicitBindings tl ->
- std_constructor ?loc "ImplicitBindings" [of_list ?loc of_open_constr tl]
-| QExplicitBindings tl ->
- let map e = of_pair (fun q -> of_anti of_qhyp q) of_open_constr e in
- std_constructor ?loc "ExplicitBindings" [of_list ?loc map tl]
-
-let of_constr_with_bindings c = of_pair of_open_constr of_bindings c
-
-let rec of_intro_pattern {loc;v=pat} = match pat with
-| QIntroForthcoming b ->
- std_constructor ?loc "IntroForthcoming" [of_bool b]
-| QIntroNaming iname ->
- std_constructor ?loc "IntroNaming" [of_intro_pattern_naming iname]
-| QIntroAction iact ->
- std_constructor ?loc "IntroAction" [of_intro_pattern_action iact]
-
-and of_intro_pattern_naming {loc;v=pat} = match pat with
-| QIntroIdentifier id ->
- std_constructor ?loc "IntroIdentifier" [of_anti of_ident id]
-| QIntroFresh id ->
- std_constructor ?loc "IntroFresh" [of_anti of_ident id]
-| QIntroAnonymous ->
- std_constructor ?loc "IntroAnonymous" []
-
-and of_intro_pattern_action {loc;v=pat} = match pat with
-| QIntroWildcard ->
- std_constructor ?loc "IntroWildcard" []
-| QIntroOrAndPattern pat ->
- std_constructor ?loc "IntroOrAndPattern" [of_or_and_intro_pattern pat]
-| QIntroInjection il ->
- std_constructor ?loc "IntroInjection" [of_intro_patterns il]
-| QIntroRewrite b ->
- std_constructor ?loc "IntroRewrite" [of_bool ?loc b]
-
-and of_or_and_intro_pattern {loc;v=pat} = match pat with
-| QIntroOrPattern ill ->
- std_constructor ?loc "IntroOrPattern" [of_list ?loc of_intro_patterns ill]
-| QIntroAndPattern il ->
- std_constructor ?loc "IntroAndPattern" [of_intro_patterns il]
-
-and of_intro_patterns {loc;v=l} =
- of_list ?loc of_intro_pattern l
-
-let of_hyp_location_flag ?loc = function
-| Locus.InHyp -> std_constructor ?loc "InHyp" []
-| Locus.InHypTypeOnly -> std_constructor ?loc "InHypTypeOnly" []
-| Locus.InHypValueOnly -> std_constructor ?loc "InHypValueOnly" []
-
-let of_occurrences {loc;v=occ} = match occ with
-| QAllOccurrences -> std_constructor ?loc "AllOccurrences" []
-| QAllOccurrencesBut occs ->
- let map occ = of_anti of_int occ in
- let occs = of_list ?loc map occs in
- std_constructor ?loc "AllOccurrencesBut" [occs]
-| QNoOccurrences -> std_constructor ?loc "NoOccurrences" []
-| QOnlyOccurrences occs ->
- let map occ = of_anti of_int occ in
- let occs = of_list ?loc map occs in
- std_constructor ?loc "OnlyOccurrences" [occs]
-
-let of_hyp_location ?loc ((occs, id), flag) =
- of_tuple ?loc [
- of_anti of_ident id;
- of_occurrences occs;
- of_hyp_location_flag ?loc flag;
- ]
-
-let of_clause {loc;v=cl} =
- let hyps = of_option ?loc (fun l -> of_list ?loc of_hyp_location l) cl.q_onhyps in
- let concl = of_occurrences cl.q_concl_occs in
- CAst.make ?loc @@ CTacRec ([
- std_proj "on_hyps", hyps;
- std_proj "on_concl", concl;
- ])
-
-let of_destruction_arg {loc;v=arg} = match arg with
-| QElimOnConstr c ->
- let arg = thunk (of_constr_with_bindings c) in
- std_constructor ?loc "ElimOnConstr" [arg]
-| QElimOnIdent id -> std_constructor ?loc "ElimOnIdent" [of_ident id]
-| QElimOnAnonHyp n -> std_constructor ?loc "ElimOnAnonHyp" [of_int n]
-
-let of_induction_clause {loc;v=cl} =
- let arg = of_destruction_arg cl.indcl_arg in
- let eqn = of_option ?loc of_intro_pattern_naming cl.indcl_eqn in
- let as_ = of_option ?loc of_or_and_intro_pattern cl.indcl_as in
- let in_ = of_option ?loc of_clause cl.indcl_in in
- CAst.make ?loc @@ CTacRec ([
- std_proj "indcl_arg", arg;
- std_proj "indcl_eqn", eqn;
- std_proj "indcl_as", as_;
- std_proj "indcl_in", in_;
- ])
-
-let check_pattern_id ?loc id =
- if Tac2env.is_constructor (Libnames.qualid_of_ident id) then
- CErrors.user_err ?loc (str "Invalid pattern binding name " ++ Id.print id)
-
-let pattern_vars pat =
- let rec aux () accu pat = match pat.CAst.v with
- | Constrexpr.CPatVar id
- | Constrexpr.CEvar (id, []) ->
- let () = check_pattern_id ?loc:pat.CAst.loc id in
- Id.Set.add id accu
- | _ ->
- Constrexpr_ops.fold_constr_expr_with_binders (fun _ () -> ()) aux () accu pat
- in
- aux () Id.Set.empty pat
-
-let abstract_vars loc vars tac =
- let get_name = function Name id -> Some id | Anonymous -> None in
- let def = try Some (List.find_map get_name vars) with Not_found -> None in
- let na, tac = match def with
- | None -> (Anonymous, tac)
- | Some id0 ->
- (* Trick: in order not to shadow a variable nor to choose an arbitrary
- name, we reuse one which is going to be shadowed by the matched
- variables anyways. *)
- let build_bindings (n, accu) na = match na with
- | Anonymous -> (n + 1, accu)
- | Name _ ->
- let get = global_ref ?loc (kername array_prefix "get") in
- let args = [of_variable CAst.(make ?loc id0); of_int CAst.(make ?loc n)] in
- let e = CAst.make ?loc @@ CTacApp (get, args) in
- let accu = (CAst.make ?loc @@ CPatVar na, e) :: accu in
- (n + 1, accu)
- in
- let (_, bnd) = List.fold_left build_bindings (0, []) vars in
- let tac = CAst.make ?loc @@ CTacLet (false, bnd, tac) in
- (Name id0, tac)
- in
- CAst.make ?loc @@ CTacFun ([CAst.make ?loc @@ CPatVar na], tac)
-
-let of_pattern p =
- inj_wit ?loc:p.CAst.loc wit_pattern p
-
-let of_conversion {loc;v=c} = match c with
-| QConvert c ->
- let pat = of_option ?loc of_pattern None in
- let c = CAst.make ?loc @@ CTacFun ([CAst.make ?loc @@ CPatVar Anonymous], of_constr c) in
- of_tuple ?loc [pat; c]
-| QConvertWith (pat, c) ->
- let vars = pattern_vars pat in
- let pat = of_option ?loc of_pattern (Some pat) in
- let c = of_constr c in
- (* Order is critical here *)
- let vars = List.map (fun id -> Name id) (Id.Set.elements vars) in
- let c = abstract_vars loc vars c in
- of_tuple [pat; c]
-
-let of_repeat {loc;v=r} = match r with
-| QPrecisely n -> std_constructor ?loc "Precisely" [of_int n]
-| QUpTo n -> std_constructor ?loc "UpTo" [of_int n]
-| QRepeatStar -> std_constructor ?loc "RepeatStar" []
-| QRepeatPlus -> std_constructor ?loc "RepeatPlus" []
-
-let of_orient loc b =
- if b then std_constructor ?loc "LTR" []
- else std_constructor ?loc "RTL" []
-
-let of_rewriting {loc;v=rew} =
- let orient =
- let {loc;v=orient} = rew.rew_orient in
- of_option ?loc (fun b -> of_orient loc b) orient
- in
- let repeat = of_repeat rew.rew_repeat in
- let equatn = thunk (of_constr_with_bindings rew.rew_equatn) in
- CAst.make ?loc @@ CTacRec ([
- std_proj "rew_orient", orient;
- std_proj "rew_repeat", repeat;
- std_proj "rew_equatn", equatn;
- ])
-
-let of_hyp ?loc id =
- let hyp = global_ref ?loc (control_core "hyp") in
- CAst.make ?loc @@ CTacApp (hyp, [of_ident id])
-
-let of_exact_hyp ?loc id =
- let refine = global_ref ?loc (control_core "refine") in
- CAst.make ?loc @@ CTacApp (refine, [thunk (of_hyp ?loc id)])
-
-let of_exact_var ?loc id =
- let refine = global_ref ?loc (control_core "refine") in
- CAst.make ?loc @@ CTacApp (refine, [thunk (of_variable id)])
-
-let of_dispatch tacs =
- let loc = tacs.loc in
- let default = function
- | Some e -> thunk e
- | None -> thunk (CAst.make ?loc @@ CTacCst (AbsKn (Tuple 0)))
- in
- let map e = of_pair default (fun l -> of_list ?loc default l) (CAst.make ?loc e) in
- of_pair (fun l -> of_list ?loc default l) (fun r -> of_option ?loc map r) tacs
-
-let make_red_flag l =
- let open Genredexpr in
- let rec add_flag red = function
- | [] -> red
- | {v=flag} :: lf ->
- let red = match flag with
- | QBeta -> { red with rBeta = true }
- | QMatch -> { red with rMatch = true }
- | QFix -> { red with rFix = true }
- | QCofix -> { red with rCofix = true }
- | QZeta -> { red with rZeta = true }
- | QConst {loc;v=l} ->
- if red.rDelta then
- CErrors.user_err ?loc Pp.(str
- "Cannot set both constants to unfold and constants not to unfold");
- { red with rConst = red.rConst @ l }
- | QDeltaBut {loc;v=l} ->
- if red.rConst <> [] && not red.rDelta then
- CErrors.user_err ?loc Pp.(str
- "Cannot set both constants to unfold and constants not to unfold");
- { red with rConst = red.rConst @ l; rDelta = true }
- | QIota ->
- { red with rMatch = true; rFix = true; rCofix = true }
- in
- add_flag red lf
- in
- add_flag
- {rBeta = false; rMatch = false; rFix = false; rCofix = false;
- rZeta = false; rDelta = false; rConst = []}
- l
-
-let of_reference r =
- let of_ref ref =
- inj_wit ?loc:ref.loc wit_reference ref
- in
- of_anti of_ref r
-
-let of_strategy_flag {loc;v=flag} =
- let open Genredexpr in
- let flag = make_red_flag flag in
- CAst.make ?loc @@ CTacRec ([
- std_proj "rBeta", of_bool ?loc flag.rBeta;
- std_proj "rMatch", of_bool ?loc flag.rMatch;
- std_proj "rFix", of_bool ?loc flag.rFix;
- std_proj "rCofix", of_bool ?loc flag.rCofix;
- std_proj "rZeta", of_bool ?loc flag.rZeta;
- std_proj "rDelta", of_bool ?loc flag.rDelta;
- std_proj "rConst", of_list ?loc of_reference flag.rConst;
- ])
-
-let of_hintdb {loc;v=hdb} = match hdb with
-| QHintAll -> of_option ?loc (fun l -> of_list (fun id -> of_anti of_ident id) l) None
-| QHintDbs ids -> of_option ?loc (fun l -> of_list (fun id -> of_anti of_ident id) l) (Some ids)
-
-let extract_name ?loc oid = match oid with
-| None -> Anonymous
-| Some id ->
- let () = check_pattern_id ?loc id in
- Name id
-
-(** For every branch in the matching, generate a corresponding term of type
- [(match_kind * pattern * (context -> constr array -> 'a))]
- where the function binds the names from the pattern to the contents of the
- constr array. *)
-let of_constr_matching {loc;v=m} =
- let map {loc;v=({loc=ploc;v=pat}, tac)} =
- let (knd, pat, na) = match pat with
- | QConstrMatchPattern pat ->
- let knd = constructor ?loc (pattern_core "MatchPattern") [] in
- (knd, pat, Anonymous)
- | QConstrMatchContext (id, pat) ->
- let na = extract_name ?loc id in
- let knd = constructor ?loc (pattern_core "MatchContext") [] in
- (knd, pat, na)
- in
- let vars = pattern_vars pat in
- (* Order of elements is crucial here! *)
- let vars = Id.Set.elements vars in
- let vars = List.map (fun id -> Name id) vars in
- let e = abstract_vars loc vars tac in
- let e = CAst.make ?loc @@ CTacFun ([CAst.make ?loc @@ CPatVar na], e) in
- let pat = inj_wit ?loc:ploc wit_pattern pat in
- of_tuple [knd; pat; e]
- in
- of_list ?loc map m
-
-(** From the patterns and the body of the branch, generate:
- - a goal pattern: (constr_match list * constr_match)
- - a branch function (ident array -> context array -> constr array -> context -> 'a)
-*)
-let of_goal_matching {loc;v=gm} =
- let mk_pat {loc;v=p} = match p with
- | QConstrMatchPattern pat ->
- let knd = constructor ?loc (pattern_core "MatchPattern") [] in
- (Anonymous, pat, knd)
- | QConstrMatchContext (id, pat) ->
- let na = extract_name ?loc id in
- let knd = constructor ?loc (pattern_core "MatchContext") [] in
- (na, pat, knd)
- in
- let mk_gpat {loc;v=p} =
- let concl_pat = p.q_goal_match_concl in
- let hyps_pats = p.q_goal_match_hyps in
- let (concl_ctx, concl_pat, concl_knd) = mk_pat concl_pat in
- let vars = pattern_vars concl_pat in
- let map accu (na, pat) =
- let (ctx, pat, knd) = mk_pat pat in
- let vars = pattern_vars pat in
- (Id.Set.union vars accu, (na, ctx, pat, knd))
- in
- let (vars, hyps_pats) = List.fold_left_map map vars hyps_pats in
- let map (_, _, pat, knd) = of_tuple [knd; of_pattern pat] in
- let concl = of_tuple [concl_knd; of_pattern concl_pat] in
- let r = of_tuple [of_list ?loc map hyps_pats; concl] in
- let hyps = List.map (fun ({CAst.v=na}, _, _, _) -> na) hyps_pats in
- let map (_, na, _, _) = na in
- let hctx = List.map map hyps_pats in
- (* Order of elements is crucial here! *)
- let vars = Id.Set.elements vars in
- let subst = List.map (fun id -> Name id) vars in
- (r, hyps, hctx, subst, concl_ctx)
- in
- let map {loc;v=(pat, tac)} =
- let (pat, hyps, hctx, subst, cctx) = mk_gpat pat in
- let tac = CAst.make ?loc @@ CTacFun ([CAst.make ?loc @@ CPatVar cctx], tac) in
- let tac = abstract_vars loc subst tac in
- let tac = abstract_vars loc hctx tac in
- let tac = abstract_vars loc hyps tac in
- of_tuple ?loc [pat; tac]
- in
- of_list ?loc map gm
-
-let of_move_location {loc;v=mv} = match mv with
-| QMoveAfter id -> std_constructor ?loc "MoveAfter" [of_anti of_ident id]
-| QMoveBefore id -> std_constructor ?loc "MoveBefore" [of_anti of_ident id]
-| QMoveFirst -> std_constructor ?loc "MoveFirst" []
-| QMoveLast -> std_constructor ?loc "MoveLast" []
-
-let of_pose p =
- of_pair (fun id -> of_option (fun id -> of_anti of_ident id) id) of_open_constr p
-
-let of_assertion {loc;v=ast} = match ast with
-| QAssertType (ipat, c, tac) ->
- let ipat = of_option of_intro_pattern ipat in
- let c = of_constr c in
- let tac = of_option thunk tac in
- std_constructor ?loc "AssertType" [ipat; c; tac]
-| QAssertValue (id, c) ->
- let id = of_anti of_ident id in
- let c = of_constr c in
- std_constructor ?loc "AssertValue" [id; c]