(*  Title:      Pure/Syntax/mixfix.ML

    Author:     Tobias Nipkow and Markus Wenzel, TU Muenchen

Mixfix declarations, infixes, binders.

*)

signature BASIC_MIXFIX =

sig

  datatype mixfix =

    NoSyn |

    Mixfix of string * int list * int |

    Delimfix of string |

    Infix of string * int |

    Infixl of string * int |

    Infixr of string * int |

    Binder of string * int * int |

    Structure

end;

signature MIXFIX =

sig

  include BASIC_MIXFIX

  val pretty_mixfix: mixfix -> Pretty.T

  val mixfix_args: mixfix -> int

  val mixfixT: mixfix -> typ

  val make_type: int -> typ

  val binder_name: string -> string

  val syn_ext_types: (string * typ * mixfix) list -> Syntax_Ext.syn_ext

  val syn_ext_consts: (string -> bool) -> (string * typ * mixfix) list -> Syntax_Ext.syn_ext

end;

structure Mixfix: MIXFIX =

struct

(** mixfix declarations **)

datatype mixfix =

  NoSyn |

  Mixfix of string * int list * int |

  Delimfix of string |

  Infix of string * int |

  Infixl of string * int |

  Infixr of string * int |

  Binder of string * int * int |

  Structure;

(* pretty_mixfix *)

local

val quoted = Pretty.quote o Pretty.str;

val keyword = Pretty.keyword;

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 [quoted s, brackets (Pretty.commas (map int ps)), int p])

  | pretty_mixfix (Delimfix s) = parens [quoted s]

  | pretty_mixfix (Infix (s, p)) = parens (Pretty.breaks [keyword "infix", quoted s, int p])

  | pretty_mixfix (Infixl (s, p)) = parens (Pretty.breaks [keyword "infixl", quoted s, int p])

  | pretty_mixfix (Infixr (s, p)) = parens (Pretty.breaks [keyword "infixl", quoted s, int p])

  | pretty_mixfix (Binder (s, p1, p2)) =

      parens (Pretty.breaks [keyword "binder", quoted s, brackets [int p1], int p2])

  | pretty_mixfix Structure = parens [keyword "structure"];

end;

(* syntax specifications *)

fun mixfix_args NoSyn = 0

  | mixfix_args (Mixfix (sy, _, _)) = Syntax_Ext.mfix_args sy

  | mixfix_args (Delimfix sy) = Syntax_Ext.mfix_args sy

  | mixfix_args (Infix (sy, _)) = 2 + Syntax_Ext.mfix_args sy

  | mixfix_args (Infixl (sy, _)) = 2 + Syntax_Ext.mfix_args sy

  | mixfix_args (Infixr (sy, _)) = 2 + Syntax_Ext.mfix_args sy

  | mixfix_args (Binder _) = 1

  | mixfix_args Structure = 0;

fun mixfixT (Binder _) = (dummyT --> dummyT) --> dummyT

  | mixfixT mx = replicate (mixfix_args mx) dummyT ---> dummyT;

(* syn_ext_types *)

val typeT = Type ("type", []);

fun make_type n = replicate n typeT ---> typeT;

fun syn_ext_types type_decls =

  let

    fun mk_infix sy ty t p1 p2 p3 = Syntax_Ext.Mfix ("(_ " ^ sy ^ "/ _)", ty, t, [p1, p2], p3);

    fun mfix_of (_, _, NoSyn) = NONE

      | mfix_of (t, ty, Mixfix (sy, ps, p)) = SOME (Syntax_Ext.Mfix (sy, ty, t, ps, p))

      | mfix_of (t, ty, Delimfix sy) = SOME (Syntax_Ext.Mfix (sy, ty, t, [], 1000))

      | mfix_of (t, ty, Infix (sy, p)) = SOME (mk_infix sy ty t (p + 1) (p + 1) p)

      | mfix_of (t, ty, Infixl (sy, p)) = SOME (mk_infix sy ty t p (p + 1) p)

      | mfix_of (t, ty, Infixr (sy, p)) = SOME (mk_infix sy ty t (p + 1) p p)

      | mfix_of (t, _, _) = error ("Bad mixfix declaration for " ^ quote t);

    fun check_args (_, ty, _) (SOME (mfix as Syntax_Ext.Mfix (sy, _, _, _, _))) =

          if length (Term.binder_types ty) = Syntax_Ext.mfix_args sy then ()

          else Syntax_Ext.err_in_mfix "Bad number of type constructor arguments" mfix

      | check_args _ NONE = ();

    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 (map_filter I mfix) consts ([], [], [], []) ([], []) end;

(* syn_ext_consts *)

val binder_stamp = stamp ();

val binder_name = suffix "_binder";

fun syn_ext_consts is_logtype const_decls =

  let

    fun mk_infix sy ty c p1 p2 p3 =

      [Syntax_Ext.Mfix ("op " ^ sy, ty, c, [], 1000),

       Syntax_Ext.Mfix ("(_ " ^ sy ^ "/ _)", ty, c, [p1, p2], p3)];

    fun binder_typ _ (Type ("fun", [Type ("fun", [_, ty2]), ty3])) =

          [Type ("idts", []), ty2] ---> ty3

      | binder_typ c _ = error ("Bad type of binder: " ^ quote c);

    fun mfix_of (_, _, NoSyn) = []

      | mfix_of (c, ty, Mixfix (sy, ps, p)) = [Syntax_Ext.Mfix (sy, ty, c, ps, p)]

      | mfix_of (c, ty, Delimfix sy) = [Syntax_Ext.Mfix (sy, ty, c, [], 1000)]

      | mfix_of (c, ty, Infix (sy, p)) = mk_infix sy ty c (p + 1) (p + 1) p

      | mfix_of (c, ty, Infixl (sy, p)) = mk_infix sy ty c p (p + 1) p

      | mfix_of (c, ty, Infixr (sy, p)) = mk_infix sy ty c (p + 1) p p

      | mfix_of (c, ty, Binder (sy, p, q)) =

          [Syntax_Ext.Mfix ("(3" ^ sy ^ "_./ _)", binder_typ c ty, (binder_name c), [0, p], q)]

      | mfix_of (c, _, _) = error ("Bad mixfix declaration for " ^ quote c);

    fun binder (c, _, Binder _) = SOME (binder_name c, c)

      | binder _ = NONE;

    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 = binders @ map (fn (c, _, _) => (c, "")) const_decls;

  in

    Syntax_Ext.syn_ext' is_logtype mfix consts ([], binder_trs, binder_trs', []) ([], [])

  end;

end;

structure Basic_Mixfix: BASIC_MIXFIX = Mixfix;

open Basic_Mixfix;