src/Pure/Isar/overloading.ML

tuned interfaces

(*  Title:      Pure/Isar/overloading.ML
    Author:     Florian Haftmann, TU Muenchen

Overloaded definitions without any discipline.
*)

signature OVERLOADING =
sig
  type improvable_syntax
  val activate_improvable_syntax: Proof.context -> Proof.context
  val map_improvable_syntax: (improvable_syntax -> improvable_syntax)
    -> Proof.context -> Proof.context
  val set_primary_constraints: Proof.context -> Proof.context
  val show_reverted_improvements: bool Config.T;

  val overloading: (string * (string * typ) * bool) list -> theory -> local_theory
  val overloading_cmd: (string * string * bool) list -> theory -> local_theory
  val theory_map: (string * (string * typ) * bool) list
    -> (local_theory -> local_theory) -> theory -> theory
  val theory_map_result: (string * (string * typ) * bool) list
    -> (morphism -> 'a -> 'b) -> (local_theory -> 'a * local_theory)
    -> theory -> 'b * theory
end;

structure Overloading: OVERLOADING =
struct

(* generic check/uncheck combinators for improvable constants *)

type improvable_syntax = {
  primary_constraints: (string * typ) list,
  secondary_constraints: (string * typ) list,
  improve: string * typ -> (typ * typ) option,
  subst: string * typ -> (typ * term) option,
  no_subst_in_abbrev_mode: bool,
  unchecks: (term * term) list
}

structure Improvable_Syntax = Proof_Data
(
  type T = {syntax: improvable_syntax, secondary_pass: bool}
  fun init _ = {syntax = {
      primary_constraints = [],
      secondary_constraints = [],
      improve = K NONE,
      subst = K NONE,
      no_subst_in_abbrev_mode = false,
      unchecks = []
    }, secondary_pass = false}: T;
);

fun map_improvable_syntax f =
  Improvable_Syntax.map (fn {syntax, secondary_pass} => {syntax = f syntax, secondary_pass = secondary_pass});

val mark_passed =
  Improvable_Syntax.map (fn {syntax, secondary_pass} => {syntax = syntax, secondary_pass = true});

fun improve_term_check ts ctxt =
  let
    val thy = Proof_Context.theory_of ctxt;

    val {syntax = {secondary_constraints, improve, subst, no_subst_in_abbrev_mode, ...}, secondary_pass} =
      Improvable_Syntax.get ctxt;
    val no_subst = Proof_Context.abbrev_mode ctxt andalso no_subst_in_abbrev_mode;
    fun accumulate_improvements (Const (c, ty)) =
          (case improve (c, ty) of
            SOME ty_ty' => Sign.typ_match thy ty_ty'
          | _ => I)
      | accumulate_improvements _ = I;
    fun apply_subst t =
      Envir.expand_term
        (fn Const (c, ty) =>
          (case subst (c, ty) of
            SOME (ty', t') =>
              if Sign.typ_instance thy (ty, ty')
              then SOME (ty', apply_subst t') else NONE
          | NONE => NONE)
        | _ => NONE) t;
    val improvements = (fold o fold_aterms) accumulate_improvements ts Vartab.empty;
    val ts' =
      ts
      |> (map o map_types) (Envir.subst_type improvements)
      |> not no_subst ? map apply_subst;
  in
    if secondary_pass orelse no_subst then
      if eq_list (op aconv) (ts, ts') then NONE
      else SOME (ts', ctxt)
    else
      SOME (ts', ctxt
        |> fold (Proof_Context.add_const_constraint o apsnd SOME) secondary_constraints
        |> mark_passed)
  end;

fun rewrite_liberal thy unchecks t =
  (case try (Pattern.rewrite_term_top thy unchecks []) t of
    NONE => NONE
  | SOME t' => if t aconv t' then NONE else SOME t');

val show_reverted_improvements =
  Attrib.setup_config_bool \<^binding>\<open>show_reverted_improvements\<close> (K true);

fun improve_term_uncheck ts ctxt =
  let
    val thy = Proof_Context.theory_of ctxt;
    val {syntax = {unchecks, ...}, ...} = Improvable_Syntax.get ctxt;
    val revert = Config.get ctxt show_reverted_improvements;
    val ts' = map (rewrite_liberal thy unchecks) ts;
  in if revert andalso exists is_some ts' then SOME (map2 the_default ts ts', ctxt) else NONE end;

fun set_primary_constraints ctxt =
  let
    val {syntax = {primary_constraints, ...}, ...} = Improvable_Syntax.get ctxt;
  in fold (Proof_Context.add_const_constraint o apsnd SOME) primary_constraints ctxt end;

val activate_improvable_syntax =
  Context.proof_map
    (Syntax_Phases.term_check' 0 "improvement" improve_term_check
    #> Syntax_Phases.term_uncheck' 0 "improvement" improve_term_uncheck)
  #> set_primary_constraints;


(* overloading target *)

structure Data = Proof_Data
(
  type T = ((string * typ) * (string * bool)) list;
  fun init _ = [];
);

val get_overloading = Data.get o Local_Theory.target_of;
val map_overloading = Local_Theory.target o Data.map;

fun operation lthy b =
  get_overloading lthy
  |> get_first (fn ((c, _), (v, checked)) =>
      if Binding.name_of b = v then SOME (c, (v, checked)) else NONE);

fun synchronize_syntax ctxt =
  let
    val overloading = Data.get ctxt;
    fun subst (c, ty) =
      (case AList.lookup (op =) overloading (c, ty) of
        SOME (v, _) => SOME (ty, Free (v, ty))
      | NONE => NONE);
    val unchecks =
      map (fn (c_ty as (_, ty), (v, _)) => (Free (v, ty), Const c_ty)) overloading;
  in
    ctxt
    |> map_improvable_syntax (K {primary_constraints = [],
      secondary_constraints = [], improve = K NONE, subst = subst,
      no_subst_in_abbrev_mode = false, unchecks = unchecks})
  end;

fun define_overloaded (c, U) (v, checked) (b_def, rhs) =
  Local_Theory.background_theory_result
    (Thm.add_def_global (not checked) true
      (Thm.def_binding_optional (Binding.name v) b_def,
        Logic.mk_equals (Const (c, Term.fastype_of rhs), rhs)))
  ##> map_overloading (filter_out (fn (_, (v', _)) => v' = v))
  ##> Local_Theory.map_contexts (K synchronize_syntax)
  #-> (fn (_, def) => pair (Const (c, U), def));

fun foundation (((b, U), mx), (b_def, rhs)) params lthy =
  (case operation lthy b of
    SOME (c, (v, checked)) =>
      if Mixfix.is_empty mx then
        lthy |> define_overloaded (c, U) (v, checked) (b_def, rhs)
      else error ("Illegal mixfix syntax for overloaded constant " ^ quote c)
  | NONE => lthy |> Generic_Target.theory_target_foundation (((b, U), mx), (b_def, rhs)) params);

fun pretty lthy =
  let
    val overloading = get_overloading lthy;
    fun pr_operation ((c, ty), (v, _)) =
      Pretty.block (Pretty.breaks
        [Pretty.str v, Pretty.str "\<equiv>", Proof_Context.pretty_const lthy c,
          Pretty.str "::", Syntax.pretty_typ lthy ty]);
  in
    [Pretty.block
      (Pretty.fbreaks (Pretty.keyword1 "overloading" :: map pr_operation overloading))]
  end;

fun conclude lthy =
  let
    val overloading = get_overloading lthy;
    val _ =
      if null overloading then ()
      else
        error ("Missing definition(s) for parameter(s) " ^
          commas_quote (map (Syntax.string_of_term lthy o Const o fst) overloading));
  in lthy end;

fun gen_overloading prep_const raw_overloading_spec thy =
  let
    val ctxt = Proof_Context.init_global thy;
    val _ = if null raw_overloading_spec then error "At least one parameter must be given" else ();
    val overloading_spec = raw_overloading_spec |> map (fn (v, const, checked) =>
      (Term.dest_Const (prep_const ctxt const), (v, checked)));
  in
    thy
    |> Generic_Target.init
       {background_naming = Sign.naming_of thy,
        setup = Proof_Context.init_global
          #> Data.put overloading_spec
          #> fold (fn ((_, ty), (v, _)) => Variable.declare_names (Free (v, ty))) overloading_spec
          #> activate_improvable_syntax
          #> synchronize_syntax,
        conclude = conclude}
       {define = Generic_Target.define foundation,
        notes = Generic_Target.notes Generic_Target.theory_target_notes,
        abbrev = Generic_Target.abbrev Generic_Target.theory_target_abbrev,
        declaration = K Generic_Target.theory_declaration,
        theory_registration = Locale.add_registration_theory,
        locale_dependency = fn _ => error "Not possible in overloading target",
        pretty = pretty}
  end;

val overloading = gen_overloading (fn ctxt => Syntax.check_term ctxt o Const);
val overloading_cmd = gen_overloading Syntax.read_term;

fun theory_map overloading_spec g =
  overloading overloading_spec #> g #> Local_Theory.exit_global;
fun theory_map_result overloading_spec f g =
  overloading overloading_spec #> g #> Local_Theory.exit_result_global f;

end;