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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
+open Extend
+open Topconstr
+open Libnames
+open Bignat
+
+(**********************************************************************)
+(* Parsing positive via scopes *)
+(**********************************************************************)
+
+open Libnames
+open Rawterm
+let make_dir l = make_dirpath (List.map id_of_string (List.rev l))
+let fast_integer_module = make_dir ["Coq";"ZArith";"fast_integer"]
+
+(* TODO: temporary hack *)
+let make_path dir id = Libnames.encode_kn dir id
+
+let positive_path = make_path fast_integer_module (id_of_string "positive")
+let path_of_xI = ((positive_path,0),1)
+let path_of_xO = ((positive_path,0),2)
+let path_of_xH = ((positive_path,0),3)
+let glob_xI = ConstructRef path_of_xI
+let glob_xO = ConstructRef path_of_xO
+let glob_xH = ConstructRef path_of_xH
+
+let pos_of_bignat dloc x =
+ let ref_xI = RRef (dloc, glob_xI) in
+ let ref_xH = RRef (dloc, glob_xH) in
+ let ref_xO = RRef (dloc, glob_xO) in
+ let rec pos_of x =
+ match div2_with_rest x with
+ | (q,false) -> RApp (dloc, ref_xO,[pos_of q])
+ | (q,true) when is_nonzero q -> RApp (dloc,ref_xI,[pos_of q])
+ | (q,true) -> ref_xH
+ in
+ pos_of x
+
+let interp_positive dloc = function
+ | POS n when is_nonzero n -> pos_of_bignat dloc n
+ | _ ->
+ user_err_loc (dloc, "interp_positive",
+ str "Only strictly positive numbers in type \"positive\"!")
+
+let rec pat_pos_of_bignat dloc x name =
+ match div2_with_rest x with
+ | (q,false) ->
+ PatCstr (dloc,path_of_xO,[pat_pos_of_bignat dloc q Anonymous],name)
+ | (q,true) when is_nonzero q ->
+ PatCstr (dloc,path_of_xI,[pat_pos_of_bignat dloc q Anonymous],name)
+ | (q,true) ->
+ PatCstr (dloc,path_of_xH,[],name)
+
+let pat_interp_positive dloc = function
+ | POS n -> pat_pos_of_bignat dloc n
+ | NEG n ->
+ user_err_loc (dloc, "interp_positive",
+ str "No negative number in type \"positive\"!")
+
+(**********************************************************************)
+(* Printing positive via scopes *)
+(**********************************************************************)
+
+exception Non_closed_number
+
+let rec bignat_of_pos = function
+ | RApp (_, RRef (_,b),[a]) when b = glob_xO -> mult_2(bignat_of_pos a)
+ | RApp (_, RRef (_,b),[a]) when b = glob_xI -> add_1(mult_2(bignat_of_pos a))
+ | RRef (_, a) when a = glob_xH -> Bignat.one
+ | _ -> raise Non_closed_number
+
+let uninterp_positive p =
+ try
+ Some (POS (bignat_of_pos p))
+ with Non_closed_number ->
+ None
+
+(***********************************************************************)
+(* Declaring interpreters and uninterpreters for positive *)
+(***********************************************************************)
+
+let _ = Symbols.declare_numeral_interpreter "positive_scope"
+ ["Coq";"ZArith";"Zsyntax"]
+ (interp_positive,Some pat_interp_positive)
+ ([RRef (dummy_loc, glob_xI);
+ RRef (dummy_loc, glob_xO);
+ RRef (dummy_loc, glob_xH)],
+ uninterp_positive,
+ None)
+
+(**********************************************************************)
+(* Parsing Z via scopes *)
+(**********************************************************************)
+
+let z_path = make_path fast_integer_module (id_of_string "Z")
+let glob_z = IndRef (z_path,0)
+let path_of_ZERO = ((z_path,0),1)
+let path_of_POS = ((z_path,0),2)
+let path_of_NEG = ((z_path,0),3)
+let glob_ZERO = ConstructRef path_of_ZERO
+let glob_POS = ConstructRef path_of_POS
+let glob_NEG = ConstructRef path_of_NEG
+
+let z_of_posint dloc pos_or_neg n =
+ if is_nonzero n then
+ let sgn = if pos_or_neg then glob_POS else glob_NEG in
+ RApp(dloc, RRef (dloc,sgn), [pos_of_bignat dloc n])
+ else
+ RRef (dloc, glob_ZERO)
+
+let z_of_int dloc z =
+ match z with
+ | POS n -> z_of_posint dloc true n
+ | NEG n -> z_of_posint dloc false n
+
+let pat_z_of_posint dloc pos_or_neg n name =
+ if is_nonzero n then
+ let sgn = if pos_or_neg then path_of_POS else path_of_NEG in
+ PatCstr (dloc, sgn, [pat_pos_of_bignat dloc n Anonymous], name)
+ else
+ PatCstr (dloc, path_of_ZERO, [], name)
+
+let pat_z_of_int dloc n name =
+ match n with
+ | POS n -> pat_z_of_posint dloc true n name
+ | NEG n -> pat_z_of_posint dloc false n name
+
+(**********************************************************************)
+(* Printing Z via scopes *)
+(**********************************************************************)
+
+let bigint_of_z = function
+ | RApp (_, RRef (_,b),[a]) when b = glob_POS -> POS (bignat_of_pos a)
+ | RApp (_, RRef (_,b),[a]) when b = glob_NEG -> NEG (bignat_of_pos a)
+ | RRef (_, a) when a = glob_ZERO -> POS (Bignat.zero)
+ | _ -> raise Non_closed_number
+
+let uninterp_z p =
+ try
+ Some (bigint_of_z p)
+ with Non_closed_number -> None
+
+(***********************************************************************)
+(* Declaring interpreters and uninterpreters for Z *)
+
+let _ = Symbols.declare_numeral_interpreter "Z_scope"
+ ["Coq";"ZArith";"Zsyntax"]
+ (z_of_int,Some pat_z_of_int)
+ ([RRef (dummy_loc, glob_ZERO);
+ RRef (dummy_loc, glob_POS);
+ RRef (dummy_loc, glob_NEG)],
+ uninterp_z,
+ None)