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(***********************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
(* \VV/ *************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(***********************************************************************)
(* $Id$ *)
open Coqast
open Pcoq
open Pp
open Util
open Names
open Ast
let get_z_sign loc =
let ast_of_id id = Astterm.globalize_constr (Nvar(loc,id)) in
((ast_of_id "xI", ast_of_id "xO", ast_of_id "xH"),
(ast_of_id "ZERO", ast_of_id "POS", ast_of_id "NEG"),
(ast_of_id "My_special_variable0", ast_of_id "My_special_variable1"))
let int_array_of_string s =
let a = Array.create (String.length s) 0 in
for i = 0 to String.length s - 1 do
a.(i) <- int_of_string (String.sub s i 1)
done;
a
let string_of_int_array s =
String.concat "" (Array.to_list (Array.map string_of_int s))
let is_nonzero a =
let b = ref false in Array.iter (fun x -> b := x <> 0 || !b) a; !b
let div2_with_rest n =
let len = Array.length n in
let q = Array.create len 0 in
for i = 0 to len - 2 do
q.(i) <- q.(i) + n.(i) / 2; q.(i + 1) <- 5 * (n.(i) mod 2)
done;
q.(len - 1) <- q.(len - 1) + n.(len - 1) / 2;
q, n.(len - 1) mod 2
let add_1 n =
let m = Array.copy n
and i = ref (Array.length n - 1) in
m.(!i) <- m.(!i) + 1;
while m.(!i) = 10 && !i > 0 do
m.(!i) <- 0; decr i; m.(!i) <- m.(!i) + 1
done;
if !i = 0 && m.(0) = 10 then begin
m.(0) <- 0; Array.concat [[| 1 |]; m]
end else
m
let rec mult_2 n =
let m = Array.copy n in
m.(Array.length n - 1) <- 2 * m.(Array.length n - 1);
for i = Array.length n - 2 downto 0 do
m.(i) <- 2 * m.(i);
if m.(i + 1) >= 10 then begin
m.(i + 1) <- m.(i + 1) - 10; m.(i) <- m.(i) + 1
end
done;
if m.(0) >= 10 then begin
m.(0) <- m.(0) - 10; Array.concat [[| 1 |]; m]
end else
m
let pos_of_int_array astxI astxO astxH x =
let rec pos_of x =
match div2_with_rest x with
| (q, 1) ->
if is_nonzero q then ope("APPLIST", [astxI; pos_of q]) else astxH
| (q, 0) -> ope("APPLIST", [astxO; pos_of q])
| _ -> anomaly "n mod 2 is neither 1 nor 0. Do you bielive that ?"
in
pos_of x
let z_of_string pos_or_neg s dloc =
let ((astxI,astxO,astxH),(astZERO,astPOS,astNEG),_) = get_z_sign dloc in
let v = int_array_of_string s in
if is_nonzero v then
if pos_or_neg then
ope("APPLIST",[astPOS; pos_of_int_array astxI astxO astxH v])
else
ope("APPLIST",[astNEG; pos_of_int_array astxI astxO astxH v])
else
astZERO
exception Non_closed_number
let rec int_array_of_pos c1 c2 c3 p =
match p with
| Node (_,"APPLIST", [b; a]) when alpha_eq(b,c1) ->
mult_2 (int_array_of_pos c1 c2 c3 a)
| Node (_,"APPLIST", [b; a]) when alpha_eq(b,c2) ->
add_1 (mult_2 (int_array_of_pos c1 c2 c3 a))
| a when alpha_eq(a,c3) -> [| 1 |]
| _ -> raise Non_closed_number
let int_array_option_of_pos astxI astxO astxH p =
try
Some (int_array_of_pos astxO astxI astxH p)
with Non_closed_number ->
None
let inside_printer posneg std_pr p =
let ((astxI,astxO,astxH),_,(myvar0,myvar1)) = get_z_sign dummy_loc in
match (int_array_option_of_pos astxI astxO astxH p) with
| Some n ->
if posneg then
[< 'sTR (string_of_int_array n) >]
else
[< 'sTR "(-"; 'sTR (string_of_int_array n); 'sTR ")" >]
| None ->
let c = if posneg then myvar0 else myvar1 in
std_pr (ope("ZEXPR",[ope("APPLIST",[c; p])]))
let outside_printer posneg std_pr p =
let ((astxI,astxO,astxH),_,(myvar0,myvar1)) = get_z_sign dummy_loc in
match (int_array_option_of_pos astxI astxO astxH p) with
| Some n ->
if posneg then
[< 'sTR "`"; 'sTR (string_of_int_array n); 'sTR "`">]
else
[< 'sTR "`-"; 'sTR (string_of_int_array n); 'sTR "`" >]
| None ->
let c = if posneg then myvar0 else myvar1 in
[< 'sTR "("; std_pr (ope("APPLIST",[c; p])); 'sTR ")" >]
(* Declare pretty-printers for integers *)
let _ = Esyntax.Ppprim.add ("positive_printer", (outside_printer true))
let _ = Esyntax.Ppprim.add ("negative_printer", (outside_printer false))
let _ = Esyntax.Ppprim.add ("positive_printer_inside", (inside_printer true))
let _ = Esyntax.Ppprim.add ("negative_printer_inside", (inside_printer false))
(* Declare the primitive parser *)
open Pcoq
let number =
match create_entry (get_univ "znatural") "number" ETast with
| Ast n -> n
| _ -> anomaly "G_zsyntax.number"
let negnumber =
match create_entry (get_univ "znatural") "negnumber" ETast with
| Ast n -> n
| _ -> anomaly "G_zsyntax.negnumber"
let _ =
Gram.extend number None
[None, None,
[[Gramext.Stoken ("INT", "")],
Gramext.action (z_of_string true)]]
let _ =
Gram.extend negnumber None
[None, None,
[[Gramext.Stoken ("INT", "")],
Gramext.action (z_of_string false)]]
|