Files
linguist/samples/Coq/JsInterpreterExtraction.v
Alhadis 4f1e5c34b1 Add permissive-licensed Coq samples
BSD-2-Clause: https://github.com/jscert/jscert

  * JSCorrectness.v
  * JSInterpreterExtraction.v
  * JSNumber.v
  * JSPrettyInterm.v

MIT/Expat: https://github.com/clarus/coq-atm

  * Computation.v
  * Main.v
  * Spec.v
2016-11-03 02:50:54 +11:00

250 lines
10 KiB
Coq

Set Implicit Arguments.
Require Import JsSyntax JsInterpreterMonads JsInterpreter JsInit.
Require Import LibFix LibList.
Require Export Shared.
Require Export LibTactics LibLogic LibReflect LibList
LibOperation LibStruct LibNat LibEpsilon LibFunc LibHeap.
Require Flocq.Appli.Fappli_IEEE Flocq.Appli.Fappli_IEEE_bits.
(* Here stands some commands to extract relatively correctly the interpreter to Ocaml. *)
Extraction Language Ocaml.
Require Import ExtrOcamlBasic.
Require Import ExtrOcamlNatInt.
Require Import ExtrOcamlString.
(* Optimal fixpoint. *)
Extraction Inline FixFun3 FixFun3Mod FixFun4 FixFun4Mod FixFunMod curry3 uncurry3 curry4 uncurry4.
(* As classical logic statements are now unused, they should not be extracted
(otherwise, useless errors will be launched). *)
Extraction Inline epsilon epsilon_def classicT arbitrary indefinite_description Inhab_witness Fix isTrue.
(**************************************************************)
(** ** Numerical values *)
(* number *)
Extract Inductive positive => float
[ "(fun p -> 1. +. (2. *. p))"
"(fun p -> 2. *. p)"
"1." ]
"(fun f2p1 f2p f1 p ->
if p <= 1. then f1 () else if mod_float p 2. = 0. then f2p (floor (p /. 2.)) else f2p1 (floor (p /. 2.)))".
Extract Inductive Z => float [ "0." "" "(~-.)" ]
"(fun f0 fp fn z -> if z=0. then f0 () else if z>0. then fp z else fn (~-. z))".
Extract Inductive N => float [ "0." "" ]
"(fun f0 fp n -> if n=0. then f0 () else fp n)".
Extract Constant Z.add => "(+.)".
Extract Constant Z.succ => "(+.) 1.".
Extract Constant Z.pred => "(fun x -> x -. 1.)".
Extract Constant Z.sub => "(-.)".
Extract Constant Z.mul => "( *. )".
Extract Constant Z.opp => "(~-.)".
Extract Constant Z.abs => "abs_float".
Extract Constant Z.min => "min".
Extract Constant Z.max => "max".
Extract Constant Z.compare =>
"fun x y -> if x=y then Eq else if x<y then Lt else Gt".
Extract Constant Pos.add => "(+.)".
Extract Constant Pos.succ => "(+.) 1.".
Extract Constant Pos.pred => "(fun x -> x -. 1.)".
Extract Constant Pos.sub => "(-.)".
Extract Constant Pos.mul => "( *. )".
Extract Constant Pos.min => "min".
Extract Constant Pos.max => "max".
Extract Constant Pos.compare =>
"fun x y -> if x=y then Eq else if x<y then Lt else Gt".
Extract Constant Pos.compare_cont =>
"fun x y c -> if x=y then c else if x<y then Lt else Gt".
Extract Constant N.add => "(+.)".
Extract Constant N.succ => "(+.) 1.".
Extract Constant N.pred => "(fun x -> x -. 1.)".
Extract Constant N.sub => "(-.)".
Extract Constant N.mul => "( *. )".
Extract Constant N.min => "min".
Extract Constant N.max => "max".
Extract Constant N.div => "(fun x y -> if x = 0. then 0. else floor (x /. y))".
Extract Constant N.modulo => "mod_float".
Extract Constant N.compare =>
"fun x y -> if x=y then Eq else if x<y then Lt else Gt".
Extract Inductive Fappli_IEEE.binary_float => float [
"(fun s -> if s then (0.) else (-0.))"
"(fun s -> if s then infinity else neg_infinity)"
"nan"
"(fun (s, m, e) -> failwith ""FIXME: No extraction from binary float allowed yet."")"
].
Extract Constant JsNumber.of_int => "fun x -> x".
Extract Constant JsNumber.nan => "nan".
Extract Constant JsNumber.zero => "0.".
Extract Constant JsNumber.neg_zero => "(-0.)".
Extract Constant JsNumber.one => "1.".
Extract Constant JsNumber.infinity => "infinity".
Extract Constant JsNumber.neg_infinity => "neg_infinity".
Extract Constant JsNumber.max_value => "max_float".
Extract Constant JsNumber.min_value => "(Int64.float_of_bits Int64.one)".
Extract Constant JsNumber.pi => "(4. *. atan 1.)".
Extract Constant JsNumber.e => "(exp 1.)".
Extract Constant JsNumber.ln2 => "(log 2.)".
Extract Constant JsNumber.floor => "floor".
Extract Constant JsNumber.absolute => "abs_float".
Extract Constant JsNumber.from_string =>
"(fun s ->
try
let s = (String.concat """" (List.map (String.make 1) s)) in
if s = """" then 0. else float_of_string s
with Failure ""float_of_string"" -> nan)
(* Note that we're using `float_of_string' there, which does not have the same
behavior than JavaScript. For instance it will read ""022"" as 22 instead of
18, which should be the JavaScript result for it. *)".
Extract Constant JsNumber.to_string =>
"(fun f ->
prerr_string (""Warning: JsNumber.to_string called. This might be responsible for errors. Argument value: "" ^ string_of_float f ^ ""."");
prerr_newline();
let string_of_number n =
let sfn = string_of_float n in
(if (sfn = ""inf"") then ""Infinity"" else
if (sfn = ""-inf"") then ""-Infinity"" else
if (sfn = ""nan"") then ""NaN"" else
let inum = int_of_float n in
if (float_of_int inum = n) then (string_of_int inum) else (string_of_float n)) in
let ret = ref [] in (* Ugly, but the API for OCaml string is not very functional... *)
String.iter (fun c -> ret := c :: !ret) (string_of_number f);
List.rev !ret)
(* Note that this is ugly, we should use the spec of JsNumber.to_string here (9.8.1). *)".
Extract Constant JsNumber.add => "(+.)".
Extract Constant JsNumber.sub => "(-.)".
Extract Constant JsNumber.mult => "( *. )".
Extract Constant JsNumber.div => "(/.)".
Extract Constant JsNumber.fmod => "mod_float".
Extract Constant JsNumber.neg => "(~-.)".
Extract Constant JsNumber.sign => "(fun f -> float_of_int (compare f 0.))".
Extract Constant JsNumber.number_comparable => "(fun n1 n2 -> 0 = compare n1 n2)".
Extract Constant JsNumber.lt_bool => "(<)".
Extract Constant JsNumber.to_int32 =>
"fun n ->
match classify_float n with
| FP_normal | FP_subnormal ->
let i32 = 2. ** 32. in
let i31 = 2. ** 31. in
let posint = (if n < 0. then (-1.) else 1.) *. (floor (abs_float n)) in
let int32bit =
let smod = mod_float posint i32 in
if smod < 0. then smod +. i32 else smod
in
(if int32bit >= i31 then int32bit -. i32 else int32bit)
| _ -> 0.". (* LATER: do in Coq. Spec is 9.5, p. 47.*)
Extract Constant JsNumber.to_uint32 =>
"fun n ->
match classify_float n with
| FP_normal | FP_subnormal ->
let i32 = 2. ** 32. in
let posint = (if n < 0. then (-1.) else 1.) *. (floor (abs_float n)) in
let int32bit =
let smod = mod_float posint i32 in
if smod < 0. then smod +. i32 else smod
in
int32bit
| _ -> 0.". (* LAER: do in Coq. Spec is 9.6, p47.*)
Extract Constant JsNumber.modulo_32 => "(fun x -> let r = mod_float x 32. in if x < 0. then r +. 32. else r)".
Extract Constant JsNumber.int32_bitwise_not => "fun x -> Int32.to_float (Int32.lognot (Int32.of_float x))".
Extract Constant JsNumber.int32_bitwise_and => "fun x y -> Int32.to_float (Int32.logand (Int32.of_float x) (Int32.of_float y))".
Extract Constant JsNumber.int32_bitwise_or => "fun x y -> Int32.to_float (Int32.logor (Int32.of_float x) (Int32.of_float y))".
Extract Constant JsNumber.int32_bitwise_xor => "fun x y -> Int32.to_float (Int32.logxor (Int32.of_float x) (Int32.of_float y))".
Extract Constant JsNumber.int32_left_shift => "(fun x y -> Int32.to_float (Int32.shift_left (Int32.of_float x) (int_of_float y)))".
Extract Constant JsNumber.int32_right_shift => "(fun x y -> Int32.to_float (Int32.shift_right (Int32.of_float x) (int_of_float y)))".
Extract Constant JsNumber.uint32_right_shift =>
"(fun x y ->
let i31 = 2. ** 31. in
let i32 = 2. ** 32. in
let newx = if x >= i31 then x -. i32 else x in
let r = Int32.to_float (Int32.shift_right_logical (Int32.of_float newx) (int_of_float y)) in
if r < 0. then r +. i32 else r)".
Extract Constant int_of_char => "(fun c -> float_of_int (int_of_char c))".
Extract Constant ascii_comparable => "(=)".
Extract Constant lt_int_decidable => "(<)".
Extract Constant le_int_decidable => "(<=)".
Extract Constant ge_nat_decidable => "(>=)".
(* TODO ARTHUR: This TLC lemma does not extract to something computable... whereas it should! *)
Extract Constant prop_eq_decidable => "(=)".
Extract Constant env_loc_global_env_record => "0".
(* The following functions make pattern matches with floats and shall thus be removed. *)
Extraction Inline Fappli_IEEE.Bplus Fappli_IEEE.binary_normalize Fappli_IEEE_bits.b64_plus.
Extraction Inline Fappli_IEEE.Bmult Fappli_IEEE.Bmult_FF Fappli_IEEE_bits.b64_mult.
Extraction Inline Fappli_IEEE.Bdiv Fappli_IEEE_bits.b64_div.
(* New options for the interpreter to work in Coq 8.4 *)
Set Extraction AccessOpaque.
(* These parameters are implementation-dependant according to the spec.
I've chosed some very simple values, but we could choose another thing for them. *)
Extract Constant object_prealloc_global_proto => "(Coq_value_prim Coq_prim_null)".
Extract Constant object_prealloc_global_class => "(
let rec aux s = function
| 0 -> []
| n -> let n' = n - 1 in
s.[n'] :: aux s n'
in let aux2 s =
List.rev (aux s (String.length s))
in aux2 ""GlobalClass"")".
(* Parsing *)
Extract Constant parse_pickable => "(fun s strict ->
let str = String.concat """" (List.map (String.make 1) s) in
try
let parserExp = Parser_main.exp_from_string ~force_strict:strict str in
Some (JsSyntaxInfos.add_infos_prog strict
(Translate_syntax.exp_to_prog parserExp))
with
(* | Translate_syntax.CoqSyntaxDoesNotSupport _ -> assert false (* Temporary *) *)
| Parser.ParserFailure _
| Parser.InvalidArgument ->
prerr_string (""Warning: Parser error on eval. Input string: \"""" ^ str ^ ""\""\n"");
None
)".
(* Debugging *)
Extract Inlined Constant not_yet_implemented_because => "(fun s ->
print_endline (__LOC__ ^ "": Not implemented because: "" ^ Prheap.string_of_char_list s) ;
Coq_result_not_yet_implemented)".
Extract Inlined Constant impossible_because => "(fun s ->
print_endline (__LOC__ ^ "": Stuck because: "" ^ Prheap.string_of_char_list s) ;
Coq_result_impossible)".
Extract Inlined Constant impossible_with_heap_because => "(fun s message ->
print_endline (__LOC__ ^ "": Stuck!\nState: "" ^ Prheap.prstate true s
^ ""\nMessage:\t"" ^ Prheap.string_of_char_list message) ;
Coq_result_impossible)".
(* Final Extraction *)
Extraction Blacklist string list bool.
Separate Extraction runs run_javascript.
(* -- LATER: extract inequality_test_string in more efficient way*)