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-rw-r--r--plugins/syntax/float_syntax.ml50
-rw-r--r--plugins/syntax/r_syntax.ml35
2 files changed, 82 insertions, 3 deletions
diff --git a/plugins/syntax/float_syntax.ml b/plugins/syntax/float_syntax.ml
index dadce9a9ea..e0a9906689 100644
--- a/plugins/syntax/float_syntax.ml
+++ b/plugins/syntax/float_syntax.ml
@@ -22,8 +22,56 @@ let make_path dir id = Libnames.make_path (make_dir dir) (Id.of_string id)
(*** Parsing for float in digital notation ***)
+let warn_inexact_float =
+ CWarnings.create ~name:"inexact-float" ~category:"parsing"
+ (fun (sn, f) ->
+ Pp.strbrk
+ (Printf.sprintf
+ "The constant %s is not a binary64 floating-point value. \
+ A closest value will be used and unambiguously printed %s."
+ sn (Float64.to_string f)))
+
let interp_float ?loc n =
- DAst.make ?loc (GFloat (Float64.of_string (NumTok.Signed.to_string n)))
+ let sn = NumTok.Signed.to_string n in
+ let f = Float64.of_string sn in
+ (* return true when f is not exactly equal to n,
+ this is only used to decide whether or not to display a warning
+ and does not play any actual role in the parsing *)
+ let inexact () = match Float64.classify f with
+ | Float64.(PInf | NInf | NaN) -> true
+ | Float64.(PZero | NZero) -> not (NumTok.Signed.is_zero n)
+ | Float64.(PNormal | NNormal | PSubn | NSubn) ->
+ let m, e =
+ let (_, i), f, e = NumTok.Signed.to_decimal_and_exponent n in
+ let i = NumTok.UnsignedNat.to_string i in
+ let f = match f with
+ | None -> "" | Some f -> NumTok.UnsignedNat.to_string f in
+ let e = match e with
+ | None -> "0" | Some e -> NumTok.SignedNat.to_string e in
+ Bigint.of_string (i ^ f),
+ (try int_of_string e with Failure _ -> 0) - String.length f in
+ let m', e' =
+ let m', e' = Float64.frshiftexp f in
+ let m' = Float64.normfr_mantissa m' in
+ let e' = Uint63.to_int_min e' 4096 - Float64.eshift - 53 in
+ Bigint.of_string (Uint63.to_string m'),
+ e' in
+ let c2, c5 = Bigint.(of_int 2, of_int 5) in
+ (* check m*5^e <> m'*2^e' *)
+ let check m e m' e' =
+ not (Bigint.(equal (mult m (pow c5 e)) (mult m' (pow c2 e')))) in
+ (* check m*5^e*2^e' <> m' *)
+ let check' m e e' m' =
+ not (Bigint.(equal (mult (mult m (pow c5 e)) (pow c2 e')) m')) in
+ (* we now have to check m*10^e <> m'*2^e' *)
+ if e >= 0 then
+ if e <= e' then check m e m' (e' - e)
+ else check' m e (e - e') m'
+ else (* e < 0 *)
+ if e' <= e then check m' (-e) m (e - e')
+ else check' m' (-e) (e' - e) m in
+ if inexact () then warn_inexact_float ?loc (sn, f);
+ DAst.make ?loc (GFloat f)
(* Pretty printing is already handled in constrextern.ml *)
diff --git a/plugins/syntax/r_syntax.ml b/plugins/syntax/r_syntax.ml
index e0dc3d8989..c4e9c8b73d 100644
--- a/plugins/syntax/r_syntax.ml
+++ b/plugins/syntax/r_syntax.ml
@@ -134,7 +134,38 @@ let r_of_rawnum ?loc n =
(* Printing R via scopes *)
(**********************************************************************)
-let rawnum_of_r c = match DAst.get c with
+let rawnum_of_r c =
+ (* print i * 10^e, precondition: e <> 0 *)
+ let numTok_of_int_exp i e =
+ (* choose between 123e-2 and 1.23, this is purely heuristic
+ and doesn't play any soundness role *)
+ let choose_exponent =
+ if Bigint.is_strictly_pos e then
+ true (* don't print 12 * 10^2 as 1200 to distinguish them *)
+ else
+ let i = Bigint.to_string i in
+ let li = if i.[0] = '-' then String.length i - 1 else String.length i in
+ let e = Bigint.neg e in
+ let le = String.length (Bigint.to_string e) in
+ Bigint.(less_than (add (of_int li) (of_int le)) e) in
+ (* print 123 * 10^-2 as 123e-2 *)
+ let numTok_exponent () = NumTok.Signed.of_bigint_and_exponent i e in
+ (* print 123 * 10^-2 as 1.23, precondition e < 0 *)
+ let numTok_dot () =
+ let s, i =
+ if Bigint.is_pos_or_zero i then NumTok.SPlus, Bigint.to_string i
+ else NumTok.SMinus, Bigint.(to_string (neg i)) in
+ let ni = String.length i in
+ let e = - (Bigint.to_int e) in
+ assert (e > 0);
+ let i, f =
+ if e < ni then String.sub i 0 (ni - e), String.sub i (ni - e) e
+ else "0", String.make (e - ni) '0' ^ i in
+ let i = s, NumTok.UnsignedNat.of_string i in
+ let f = NumTok.UnsignedNat.of_string f in
+ NumTok.Signed.of_decimal_and_exponent i (Some f) None in
+ if choose_exponent then numTok_exponent () else numTok_dot () in
+ match DAst.get c with
| GApp (r, [a]) when is_gr r glob_IZR ->
let n = bigint_of_z a in
NumTok.Signed.of_bigint n
@@ -151,7 +182,7 @@ let rawnum_of_r c = match DAst.get c with
let i = bigint_of_z l in
let e = bignat_of_pos e in
let e = if is_gr md glob_Rdiv then neg e else e in
- NumTok.Signed.of_bigint_and_exponent i e
+ numTok_of_int_exp i e
| _ -> raise Non_closed_number
end
| _ -> raise Non_closed_number