(* Title: Pure/Syntax/mixfix.ML
ID: $Id$
Author: Tobias Nipkow and Markus Wenzel, TU Muenchen
Mixfix declarations, infixes, binders. Also parts of the Pure syntax.
*)
signature MIXFIX0 =
sig
datatype mixfix =
NoSyn |
Mixfix of string * int list * int |
Delimfix of string |
InfixName of string * int |
InfixlName of string * int |
InfixrName of string * int |
Infix of int |
Infixl of int |
Infixr of int |
Binder of string * int * int
end;
signature MIXFIX1 =
sig
include MIXFIX0
val no_syn: 'a * 'b -> 'a * 'b * mixfix
val string_of_mixfix: mixfix -> string
val type_name: string -> mixfix -> string
val const_name: string -> mixfix -> string
val fix_mixfix: string -> mixfix -> mixfix
val mixfix_args: mixfix -> int
val pure_nonterms: string list
val pure_syntax: (string * string * mixfix) list
val pure_syntax_output: (string * string * mixfix) list
val pure_appl_syntax: (string * string * mixfix) list
val pure_applC_syntax: (string * string * mixfix) list
val pure_xsym_syntax: (string * string * mixfix) list
end;
signature MIXFIX =
sig
include MIXFIX1
val syn_ext_types: string list -> (string * int * mixfix) list
-> SynExt.syn_ext
val syn_ext_consts: string list -> (string * typ * mixfix) list
-> SynExt.syn_ext
end;
structure Mixfix : MIXFIX =
struct
(** mixfix declarations **)
datatype mixfix =
NoSyn |
Mixfix of string * int list * int |
Delimfix of string |
InfixName of string * int |
InfixlName of string * int |
InfixrName of string * int |
Infix of int |
Infixl of int |
Infixr of int |
Binder of string * int * int;
fun no_syn (x, y) = (x, y, NoSyn);
(* string_of_mixfix *)
val parens = enclose "(" ")";
val brackets = enclose "[" "]";
val spaces = space_implode " ";
fun string_of_mixfix NoSyn = ""
| string_of_mixfix (Mixfix (sy, ps, p)) =
parens (spaces [quote sy, brackets (commas (map string_of_int ps)), string_of_int p])
| string_of_mixfix (Delimfix sy) = parens (quote sy)
| string_of_mixfix (InfixName (sy, p)) = parens (spaces ["infix", quote sy, string_of_int p])
| string_of_mixfix (InfixlName (sy, p)) = parens (spaces ["infixl", quote sy, string_of_int p])
| string_of_mixfix (InfixrName (sy, p)) = parens (spaces ["infixl", quote sy, string_of_int p])
| string_of_mixfix (Infix p) = parens (spaces ["infix", string_of_int p])
| string_of_mixfix (Infixl p) = parens (spaces ["infixl", string_of_int p])
| string_of_mixfix (Infixr p) = parens (spaces ["infixr", string_of_int p])
| string_of_mixfix (Binder (sy, p1, p2)) =
parens (spaces ["binder", brackets (string_of_int p1), string_of_int p2]);
(* type / const names *)
fun strip ("'" :: c :: cs) = c :: strip cs
| strip ["'"] = []
| strip (c :: cs) = c :: strip cs
| strip [] = [];
val strip_esc = implode o strip o Symbol.explode;
fun type_name t (InfixName _) = t
| type_name t (InfixlName _) = t
| type_name t (InfixrName _) = t
| type_name t (Infix _) = strip_esc t
| type_name t (Infixl _) = strip_esc t
| type_name t (Infixr _) = strip_esc t
| type_name t _ = t;
fun const_name c (InfixName _) = c
| const_name c (InfixlName _) = c
| const_name c (InfixrName _) = c
| const_name c (Infix _) = "op " ^ strip_esc c
| const_name c (Infixl _) = "op " ^ strip_esc c
| const_name c (Infixr _) = "op " ^ strip_esc c
| const_name c _ = c;
fun fix_mixfix c (Infix p) = (InfixName (c, p))
| fix_mixfix c (Infixl p) = (InfixlName (c, p))
| fix_mixfix c (Infixr p) = (InfixrName (c, p))
| fix_mixfix _ mx = mx;
(* mixfix_args *)
fun mixfix_args NoSyn = 0
| mixfix_args (Mixfix (sy, _, _)) = SynExt.mfix_args sy
| mixfix_args (Delimfix sy) = SynExt.mfix_args sy
| mixfix_args (*infix or binder*) _ = 2;
(* syn_ext_types *)
fun syn_ext_types logtypes type_decls =
let
fun name_of (t, _, mx) = type_name t mx;
fun mk_infix sy t p1 p2 p3 =
SynExt.Mfix ("(_ " ^ sy ^ "/ _)",
[SynExt.typeT, SynExt.typeT] ---> SynExt.typeT, t, [p1, p2], p3);
fun mfix_of decl =
let val t = name_of decl in
(case decl of
(_, _, NoSyn) => None
| (_, 2, InfixName (sy, p)) => Some (mk_infix sy t (p + 1) (p + 1) p)
| (_, 2, InfixlName (sy, p)) => Some (mk_infix sy t p (p + 1) p)
| (_, 2, InfixrName (sy, p)) => Some (mk_infix sy t (p + 1) p p)
| (sy, 2, Infix p) => Some (mk_infix sy t (p + 1) (p + 1) p)
| (sy, 2, Infixl p) => Some (mk_infix sy t p (p + 1) p)
| (sy, 2, Infixr p) => Some (mk_infix sy t (p + 1) p p)
| _ => error ("Bad mixfix declaration for type " ^ quote t))
end;
val mfix = mapfilter mfix_of type_decls;
val xconsts = map name_of type_decls;
in SynExt.syn_ext logtypes mfix xconsts ([], [], [], []) [] ([], []) end;
(* syn_ext_consts *)
fun syn_ext_consts logtypes const_decls =
let
fun name_of (c, _, mx) = const_name c mx;
fun mk_infix sy ty c p1 p2 p3 =
[SynExt.Mfix ("op " ^ sy, ty, c, [], SynExt.max_pri),
SynExt.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 decl =
let val c = name_of decl in
(case decl of
(_, _, NoSyn) => []
| (_, ty, Mixfix (sy, ps, p)) => [SynExt.Mfix (sy, ty, c, ps, p)]
| (_, ty, Delimfix sy) => [SynExt.Mfix (sy, ty, c, [], SynExt.max_pri)]
| (_, ty, InfixName (sy, p)) => mk_infix sy ty c (p + 1) (p + 1) p
| (_, ty, InfixlName (sy, p)) => mk_infix sy ty c p (p + 1) p
| (_, ty, InfixrName (sy, p)) => mk_infix sy ty c (p + 1) p p
| (sy, ty, Infix p) => mk_infix sy ty c (p + 1) (p + 1) p
| (sy, ty, Infixl p) => mk_infix sy ty c p (p + 1) p
| (sy, ty, Infixr p) => mk_infix sy ty c (p + 1) p p
| (_, ty, Binder (sy, p, q)) =>
[SynExt.Mfix ("(3" ^ sy ^ "_./ _)", binder_typ c ty, sy, [0, p], q)])
end;
fun binder (c, _, Binder (sy, _, _)) = Some (sy, c)
| binder _ = None;
val mfix = flat (map mfix_of const_decls);
val xconsts = map name_of const_decls;
val binders = mapfilter binder const_decls;
val binder_trs = map SynTrans.mk_binder_tr binders;
val binder_trs' = map (apsnd SynExt.fix_tr' o SynTrans.mk_binder_tr' o swap) binders;
in SynExt.syn_ext logtypes mfix xconsts ([], binder_trs, binder_trs', []) [] ([], []) end;
(** Pure syntax **)
val pure_nonterms =
(Lexicon.terminals @ [SynExt.logic, "type", "types", "sort", "classes",
SynExt.args, SynExt.cargs, "pttrn", "pttrns", "idt", "idts", "aprop",
"asms", SynExt.any, SynExt.sprop, "num_const", "index", "struct"]);
val pure_syntax =
[("_lambda", "[pttrns, 'a] => logic", Mixfix ("(3%_./ _)", [0, 3], 3)),
("_abs", "'a", NoSyn),
("", "'a => " ^ SynExt.args, Delimfix "_"),
("_args", "['a, " ^ SynExt.args ^ "] => " ^ SynExt.args, Delimfix "_,/ _"),
("", "id => idt", Delimfix "_"),
("_idtyp", "[id, type] => idt", Mixfix ("_::_", [], 0)),
("", "idt => idt", Delimfix "'(_')"),
("", "idt => idts", Delimfix "_"),
("_idts", "[idt, idts] => idts", Mixfix ("_/ _", [1, 0], 0)),
("", "idt => pttrn", Delimfix "_"),
("", "pttrn => pttrns", Delimfix "_"),
("_pttrns", "[pttrn, pttrns] => pttrns", Mixfix ("_/ _", [1, 0], 0)),
("", "id => aprop", Delimfix "_"),
("", "longid => aprop", Delimfix "_"),
("", "var => aprop", Delimfix "_"),
("_DDDOT", "aprop", Delimfix "..."),
("_aprop", "aprop => prop", Delimfix "PROP _"),
("", "prop => asms", Delimfix "_"),
("_asms", "[prop, asms] => asms", Delimfix "_;/ _"),
("_bigimpl", "[asms, prop] => prop", Mixfix ("((3[| _ |])/ ==> _)", [0, 1], 1)),
("_ofclass", "[type, logic] => prop", Delimfix "(1OFCLASS/(1'(_,/ _')))"),
("_mk_ofclass", "_", NoSyn),
("_TYPE", "type => logic", Delimfix "(1TYPE/(1'(_')))"),
("_K", "_", NoSyn),
("", "id => logic", Delimfix "_"),
("", "longid => logic", Delimfix "_"),
("", "var => logic", Delimfix "_"),
("_DDDOT", "logic", Delimfix "..."),
("_constify", "num => num_const", Delimfix "_"),
("_index", "num_const => index", Delimfix "\\<^sub>_"),
("_indexvar", "index", Delimfix "'\\<index>"),
("_noindex", "index", Delimfix ""),
("_struct", "index => logic", Delimfix "\\<struct>_")];
val pure_syntax_output =
[("Goal", "prop => prop", Mixfix ("_", [0], 0)),
("_meta_conjunction", "prop => prop => prop", InfixrName ("&&", 2))];
val pure_appl_syntax =
[("_appl", "[('b => 'a), args] => logic", Mixfix ("(1_/(1'(_')))", [SynExt.max_pri, 0], SynExt.max_pri)),
("_appl", "[('b => 'a), args] => aprop", Mixfix ("(1_/(1'(_')))", [SynExt.max_pri, 0], SynExt.max_pri))];
val pure_applC_syntax =
[("", "'a => cargs", Delimfix "_"),
("_cargs", "['a, cargs] => cargs", Mixfix ("_/ _", [SynExt.max_pri, SynExt.max_pri], SynExt.max_pri)),
("_applC", "[('b => 'a), cargs] => logic", Mixfix ("(1_/ _)", [SynExt.max_pri, SynExt.max_pri], SynExt.max_pri - 1)),
("_applC", "[('b => 'a), cargs] => aprop", Mixfix ("(1_/ _)", [SynExt.max_pri, SynExt.max_pri], SynExt.max_pri - 1))];
val pure_xsym_syntax =
[("fun", "[type, type] => type", Mixfix ("(_/ \\<Rightarrow> _)", [1, 0], 0)),
("_bracket", "[types, type] => type", Mixfix ("([_]/ \\<Rightarrow> _)", [0, 0], 0)),
("_ofsort", "[tid, sort] => type", Mixfix ("_\\<Colon>_", [SynExt.max_pri, 0], SynExt.max_pri)),
("_constrain", "['a, type] => 'a", Mixfix ("_\\<Colon>_", [4, 0], 3)),
("_idtyp", "[id, type] => idt", Mixfix ("_\\<Colon>_", [], 0)),
("_lambda", "[pttrns, 'a] => logic", Mixfix ("(3\\<lambda>_./ _)", [0, 3], 3)),
("==", "['a::{}, 'a] => prop", InfixrName ("\\<equiv>", 2)),
("!!", "[idts, prop] => prop", Mixfix ("(3\\<And>_./ _)", [0, 0], 0)),
("==>", "[prop, prop] => prop", InfixrName ("\\<Longrightarrow>", 1)),
("=?=", "['a::{}, 'a] => prop", InfixrName ("\\<equiv>\\<^sup>?", 2)),
("_DDDOT", "aprop", Delimfix "\\<dots>"),
("_bigimpl", "[asms, prop] => prop", Mixfix ("((3\\<lbrakk>_\\<rbrakk>)/ \\<Longrightarrow> _)", [0, 1], 1)),
("_DDDOT", "logic", Delimfix "\\<dots>")];
end;