src/Pure/Syntax/mixfix.ML

tuned signature;

(*  Title:      Pure/Syntax/mixfix.ML
    Author:     Tobias Nipkow, TU Muenchen
    Author:     Makarius

Mixfix declarations, infixes, binders.
*)

datatype mixfix =
  NoSyn |
  Mixfix of Input.source * int list * int * Position.range |
  Infix of Input.source * int * Position.range |
  Infixl of Input.source * int * Position.range |
  Infixr of Input.source * int * Position.range |
  Binder of Input.source * int * int * Position.range |
  Structure of Position.range;

signature MIXFIX =
sig
  datatype mixfix = datatype mixfix
  val mixfix: string -> mixfix
  val is_empty: mixfix -> bool
  val is_infix: mixfix -> bool
  val equal: mixfix * mixfix -> bool
  val range_of: mixfix -> Position.range
  val pos_of: mixfix -> Position.T
  val reset_pos: mixfix -> mixfix
  val pretty_mixfix: mixfix -> Pretty.T
  val mixfix_args: Proof.context -> mixfix -> int
  val default_constraint: Proof.context -> mixfix -> typ
  val make_type: int -> typ
  val binder_name: string -> string
  val syn_ext_types: Proof.context -> (string * typ * mixfix) list -> Syntax_Ext.syn_ext
  val syn_ext_consts: Proof.context -> string list -> (string * typ * mixfix) list ->
    Syntax_Ext.syn_ext
end;

structure Mixfix: MIXFIX =
struct

(** mixfix declarations **)

datatype mixfix = datatype mixfix;

fun mixfix s = Mixfix (Input.string s, [], 1000, Position.no_range);

fun is_empty NoSyn = true
  | is_empty _ = false;

fun is_infix (Infix _) = true
  | is_infix (Infixl _) = true
  | is_infix (Infixr _) = true
  | is_infix _ = false;

fun equal (NoSyn, NoSyn) = true
  | equal (Mixfix (sy, ps, p, _), Mixfix (sy', ps', p', _)) =
      Input.equal_content (sy, sy') andalso ps = ps' andalso p = p'
  | equal (Infix (sy, p, _), Infix (sy', p', _)) = Input.equal_content (sy, sy') andalso p = p'
  | equal (Infixl (sy, p, _), Infixl (sy', p', _)) = Input.equal_content (sy, sy') andalso p = p'
  | equal (Infixr (sy, p, _), Infixr (sy', p', _)) = Input.equal_content (sy, sy') andalso p = p'
  | equal (Binder (sy, p, q, _), Binder (sy', p', q', _)) =
      Input.equal_content (sy, sy') andalso p = p' andalso q = q'
  | equal (Structure _, Structure _) = true
  | equal _ = false;

fun range_of NoSyn = Position.no_range
  | range_of (Mixfix (_, _, _, range)) = range
  | range_of (Infix (_, _, range)) = range
  | range_of (Infixl (_, _, range)) = range
  | range_of (Infixr (_, _, range)) = range
  | range_of (Binder (_, _, _, range)) = range
  | range_of (Structure range) = range;

val pos_of = Position.range_position o range_of;

fun reset_pos NoSyn = NoSyn
  | reset_pos (Mixfix (sy, ps, p, _)) = Mixfix (Input.reset_pos sy, ps, p, Position.no_range)
  | reset_pos (Infix (sy, p, _)) = Infix (Input.reset_pos sy, p, Position.no_range)
  | reset_pos (Infixl (sy, p, _)) = Infixl (Input.reset_pos sy, p, Position.no_range)
  | reset_pos (Infixr (sy, p, _)) = Infixr (Input.reset_pos sy, p, Position.no_range)
  | reset_pos (Binder (sy, p, q, _)) = Binder (Input.reset_pos sy, p, q, Position.no_range)
  | reset_pos (Structure _) = Structure Position.no_range;


(* pretty_mixfix *)

local

val template = Pretty.cartouche o Pretty.str o #1 o Input.source_content;
val keyword = Pretty.keyword2;
val parens = Pretty.enclose "(" ")";
val brackets = Pretty.enclose "[" "]";
val int = Pretty.str o string_of_int;

in

fun pretty_mixfix NoSyn = Pretty.str ""
  | pretty_mixfix (Mixfix (s, ps, p, _)) =
      parens
        (Pretty.breaks
          (template s ::
            (if null ps then [] else [brackets (Pretty.commas (map int ps))]) @
            (if p = 1000 then [] else [int p])))
  | pretty_mixfix (Infix (s, p, _)) = parens (Pretty.breaks [keyword "infix", template s, int p])
  | pretty_mixfix (Infixl (s, p, _)) = parens (Pretty.breaks [keyword "infixl", template s, int p])
  | pretty_mixfix (Infixr (s, p, _)) = parens (Pretty.breaks [keyword "infixr", template s, int p])
  | pretty_mixfix (Binder (s, p1, p2, _)) =
      parens
        (Pretty.breaks
          ([keyword "binder", template s] @
            (if p1 = p2 then [] else [brackets [int p1]]) @ [int p2]))
  | pretty_mixfix (Structure _) = parens [keyword "structure"];

end;


(* syntax specifications *)

fun mixfix_args ctxt =
  fn NoSyn => 0
   | Mixfix (sy, _, _, _) => Syntax_Ext.mixfix_args ctxt sy
   | Infix (sy, _, _) => 2 + Syntax_Ext.mixfix_args ctxt sy
   | Infixl (sy, _, _) => 2 + Syntax_Ext.mixfix_args ctxt sy
   | Infixr (sy, _, _) => 2 + Syntax_Ext.mixfix_args ctxt sy
   | Binder _ => 1
   | Structure _ => 0;


(* default type constraint *)

fun default_constraint _ (Binder _) = (dummyT --> dummyT) --> dummyT
  | default_constraint ctxt mx = replicate (mixfix_args ctxt mx) dummyT ---> dummyT;


(* mixfix template *)

fun mixfix_template (Mixfix (sy, _, _, _)) = SOME sy
  | mixfix_template (Infix (sy, _, _)) = SOME sy
  | mixfix_template (Infixl (sy, _, _)) = SOME sy
  | mixfix_template (Infixr (sy, _, _)) = SOME sy
  | mixfix_template (Binder (sy, _, _, _)) = SOME sy
  | mixfix_template _ = NONE;

fun mixfix_template_reports mx =
  if Options.default_bool "update_mixfix_cartouches" then
    (case mixfix_template mx of
      SOME sy => [((Input.pos_of sy, Markup.update), cartouche (#1 (Input.source_content sy)))]
    | NONE => [])
  else [];


(* infix notation *)

val prefix_bg = Symbol_Pos.explode0 "'(";
val prefix_en = Symbol_Pos.explode0 "')";

val infix_bg = Symbol_Pos.explode0 "(";
val infix_arg1 = Symbol_Pos.explode0 "_ ";
val infix_arg2 = Symbol_Pos.explode0 "/ _)";

fun infix_block ctxt =
  Syntax_Ext.mfix_name ctxt #>
  Syntax_Ext.block_annotation 0 Markup_Kind.markup_infix #>
  Symbol_Pos.explode0 #>
  append infix_bg;


(* binder notation *)

val binder_stamp = stamp ();
val binder_name = perhaps (try Lexicon.unmark_const) #> Lexicon.mark_binder;

val binder_bg = Symbol_Pos.explode0 "(";
val binder_en = Symbol_Pos.explode0 "_./ _)";

fun binder_block ctxt =
  Syntax_Ext.mfix_name ctxt #>
  Syntax_Ext.block_annotation 3 Markup_Kind.markup_binder #>
  Symbol_Pos.explode0 #>
  append binder_bg;

fun binder_typ _ (Type ("fun", [Type ("fun", [_, ty2]), ty3])) =
      [Type ("idts", []), ty2] ---> ty3
  | binder_typ c _ = error ("Bad type of binder: " ^ quote c);


(* syn_ext_types *)

val typeT = Type ("type", []);
fun make_type n = replicate n typeT ---> typeT;

fun syn_ext_types ctxt type_decls =
  let
    fun mk_infix sy ty t p1 p2 p3 pos =
      let
        val ss = Input.source_explode sy;
        val syms = infix_block ctxt ss @ infix_arg1 @ ss @ infix_arg2;
      in Syntax_Ext.Mfix (syms, ty, t, [p1, p2], p3, pos) end;

    fun mfix_of (t, ty, mx) =
      (case mx of
        NoSyn => NONE
      | Mixfix (sy, ps, p, _) =>
          SOME (Syntax_Ext.Mfix (Input.source_explode sy, ty, t, ps, p, pos_of mx))
      | Infix (sy, p, _) => SOME (mk_infix sy ty t (p + 1) (p + 1) p (pos_of mx))
      | Infixl (sy, p, _) => SOME (mk_infix sy ty t p (p + 1) p (pos_of mx))
      | Infixr (sy, p, _) => SOME (mk_infix sy ty t (p + 1) p p (pos_of mx))
      | _ => error ("Bad mixfix declaration for " ^ quote t ^ Position.here (pos_of mx)));

    fun check_args (_, ty, mx) (SOME (Syntax_Ext.Mfix (sy, _, _, _, _, _))) =
          if length (Term.binder_types ty) = Syntax_Ext.mfix_args ctxt sy then ()
          else
            error ("Bad number of type constructor arguments in mixfix annotation" ^
              Position.here (pos_of mx))
      | check_args _ NONE = ();

    val _ = Context_Position.reports_text ctxt (maps (mixfix_template_reports o #3) type_decls);

    val mfix = map mfix_of type_decls;
    val _ = map2 check_args type_decls mfix;
    val consts = map (fn (t, _, _) => (t, [])) type_decls;
  in Syntax_Ext.syn_ext ctxt [] (map_filter I mfix) consts ([], [], [], []) ([], []) end;


(* syn_ext_consts *)

fun syn_ext_consts ctxt logical_types const_decls =
  let
    fun mk_infix sy ty c p1 p2 p3 pos =
      let
        val ss0 = Input.source_explode (Input.reset_pos sy);
        val ss = Input.source_explode sy;
        val syms = infix_block ctxt ss @ infix_arg1 @ ss @ infix_arg2;
      in
        [Syntax_Ext.Mfix (prefix_bg @ ss0 @ prefix_en, ty, c, [], 1000, Position.none),
         Syntax_Ext.Mfix (syms, ty, c, [p1, p2], p3, pos)]
      end;

    fun mfix_of (c, ty, mx) =
      (case mx of
        NoSyn => []
      | Mixfix (sy, ps, p, _) => [Syntax_Ext.Mfix (Input.source_explode sy, ty, c, ps, p, pos_of mx)]
      | Infix (sy, p, _) => mk_infix sy ty c (p + 1) (p + 1) p (pos_of mx)
      | Infixl (sy, p, _) => mk_infix sy ty c p (p + 1) p (pos_of mx)
      | Infixr (sy, p, _) => mk_infix sy ty c (p + 1) p p (pos_of mx)
      | Binder (sy, p, q, _) =>
          let
            val ss = Input.source_explode sy;
            val syms = binder_block ctxt ss @ ss @ binder_en;
          in [Syntax_Ext.Mfix (syms, binder_typ c ty, binder_name c, [0, p], q, pos_of mx)] end
      | _ => error ("Bad mixfix declaration for " ^ quote c ^ Position.here (pos_of mx)));

    fun binder (c, _, Binder _) = SOME (binder_name c, c)
      | binder _ = NONE;

    val _ = Context_Position.reports_text ctxt (maps (mixfix_template_reports o #3) const_decls);

    val mfix = maps mfix_of const_decls;
    val binders = map_filter binder const_decls;
    val binder_trs = binders
      |> map (Syntax_Ext.stamp_trfun binder_stamp o Syntax_Trans.mk_binder_tr);
    val binder_trs' = binders
      |> map (Syntax_Ext.stamp_trfun binder_stamp o
          apsnd Syntax_Trans.non_typed_tr' o Syntax_Trans.mk_binder_tr' o swap);

    val consts =
      map (fn (c, b) => (c, [b])) binders @
      map (fn (c, _, _) => (c, [])) const_decls;
  in
    Syntax_Ext.syn_ext ctxt logical_types mfix consts ([], binder_trs, binder_trs', []) ([], [])
  end;

end;