1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(* This file defines the printer for natural numbers in [nat] *)
(*i*)
open Pcoq
open Pp
open Util
open Names
open Coqlib
open Glob_term
open Libnames
open Bigint
open Coqlib
open Notation
open Pp
open Util
open Names
(*i*)
(**********************************************************************)
(* Parsing via scopes *)
(* For example, (nat_of_string "3") is <<(S (S (S O)))>> *)
let threshold = of_int 5000
let nat_of_int dloc n =
if is_pos_or_zero n then begin
if less_than threshold n then
Flags.if_warn msg_warning
(strbrk "Stack overflow or segmentation fault happens when " ++
strbrk "working with large numbers in nat (observed threshold " ++
strbrk "may vary from 5000 to 70000 depending on your system " ++
strbrk "limits and on the command executed).");
let ref_O = GRef (dloc, glob_O) in
let ref_S = GRef (dloc, glob_S) in
let rec mk_nat acc n =
if n <> zero then
mk_nat (GApp (dloc,ref_S, [acc])) (sub_1 n)
else
acc
in
mk_nat ref_O n
end
else
user_err_loc (dloc, "nat_of_int",
str "Cannot interpret a negative number as a number of type nat")
(************************************************************************)
(* Printing via scopes *)
exception Non_closed_number
let rec int_of_nat = function
| GApp (_,GRef (_,s),[a]) when s = glob_S -> add_1 (int_of_nat a)
| GRef (_,z) when z = glob_O -> zero
| _ -> raise Non_closed_number
let uninterp_nat p =
try
Some (int_of_nat p)
with
Non_closed_number -> None
(************************************************************************)
(* Declare the primitive parsers and printers *)
let _ =
Notation.declare_numeral_interpreter "nat_scope"
(nat_path,["Coq";"Init";"Datatypes"])
nat_of_int
([GRef (dummy_loc,glob_S); GRef (dummy_loc,glob_O)], uninterp_nat, true)
|
