Source file Native.ml
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open AST
open ASTUtils
open Infix
let _log = false
let list_update i f li =
let rec aux acc i li =
match (li, i) with
| [], _ -> raise (Invalid_argument "list_update")
| h :: t, 0 -> List.rev_append acc (f h :: t)
| h :: t, i -> aux (h :: acc) (i - 1) t
in
aux [] i li
type native_value =
| NV_Literal of AST.literal
| NV_Vector of native_value list
| NV_Record of native_value ASTUtils.IMap.t
let nv_literal l = NV_Literal l
let pp_literal f =
let open Format in
function
| L_Int i -> Z.pp_print f i
| L_Bool true -> pp_print_string f "TRUE"
| L_Bool false -> pp_print_string f "FALSE"
| L_Real r -> Q.to_float r |> pp_print_float f
| L_BitVector bv -> Bitvector.pp_t f bv
| L_String s -> pp_print_string f s
let rec pp_native_value f =
let open Format in
let pp_comma f () = fprintf f ",@ " in
function
| NV_Literal lit -> pp_literal f lit
| NV_Vector li ->
fprintf f "@[[%a]@]" (pp_print_list ~pp_sep:pp_comma pp_native_value) li
| NV_Record map -> IMap.pp_print pp_native_value f map
let native_value_to_string = Format.asprintf "%a" pp_native_value
let mismatch_type v types =
Error.fatal_unknown_pos (Error.MismatchType (native_value_to_string v, types))
module NativeBackend = struct
type 'a m = 'a
type value = native_value
type primitive = value m list -> value list m
type scope = AST.identifier * int
module ScopedIdentifiers = struct
type t = identifier * scope
let compare = compare
end
module SIMap = Map.Make (ScopedIdentifiers)
let is_undetermined _ = false
let v_of_int i = L_Int (Z.of_int i) |> nv_literal
let v_of_literal = nv_literal
let debug_value = native_value_to_string
let v_to_int = function
| NV_Literal (L_Int i) -> Some (Z.to_int i)
| _ -> None
let bind (vm : 'a m) (f : 'a -> 'b m) : 'b m = f vm
let prod_par (r1 : 'a m) (r2 : 'b m) : ('a * 'b) m = (r1, r2)
let return v = v
let warnT msg v =
Printf.eprintf "Warning: message %s found its way, something is wrong\n" msg;
return v
let bind_data = bind
let bind_seq = bind
let bind_ctrl = bind
let appl_data m f = bind_data m (fun v -> return (f v))
let debugT _s m = m
let commit _ : unit m = ()
let choice (c : value m) (m_true : 'b m) (m_false : 'b m) : 'b m =
let open AST in
bind c (function
| NV_Literal (L_Bool true) -> m_true
| NV_Literal (L_Bool false) -> m_false
| v -> mismatch_type v [ T_Bool ])
let delay m k = k m m
let binop op v1 v2 =
match (v1, v2) with
| NV_Literal v1, NV_Literal v2 ->
StaticInterpreter.binop_values dummy_annotated op v1 v2 |> nv_literal
| NV_Literal _, v | v, _ ->
mismatch_type v [ T_Bool; integer'; T_Real; default_t_bits ]
let ternary = function
| NV_Literal (L_Bool true) -> fun m_true _m_false -> m_true ()
| NV_Literal (L_Bool false) -> fun _m_true m_false -> m_false ()
| v -> mismatch_type v [ T_Bool ]
let unop op v =
match v with
| NV_Literal v ->
StaticInterpreter.unop_values dummy_annotated op v |> nv_literal
| _ -> mismatch_type v [ T_Bool; integer'; T_Real; default_t_bits ]
let on_write_identifier x scope value =
if _log then
Format.eprintf "Writing %a to %s in %a.@." pp_native_value value x
PP.pp_scope scope
let on_read_identifier x scope value =
if _log then
Format.eprintf "Reading %a from %s in %a.@." pp_native_value value x
PP.pp_scope scope
let v_tuple li = return (NV_Vector li)
let v_record li = return (NV_Record (IMap.of_list li))
let v_exception li = v_record li
let non_tuple_exception v = mismatch_type v [ T_Tuple [] ]
let doesnt_have_fields_exception v =
mismatch_type v [ T_Record []; T_Exception [] ]
let get_index i vec =
match vec with
| NV_Vector li -> List.nth li i |> return
| v -> non_tuple_exception v
let set_index i v vec =
match vec with
| NV_Vector li -> list_update i (Fun.const v) li |> v_tuple
| v -> non_tuple_exception v
let get_field name record =
match record with
| NV_Record map -> IMap.find name map
| v -> doesnt_have_fields_exception v
let set_field name v record =
match record with
| NV_Record li -> NV_Record (IMap.add name v li)
| v -> doesnt_have_fields_exception v
let create_vector = v_tuple
let create_record = v_record
let create_exception = v_exception
let as_bitvector = function
| NV_Literal (L_BitVector bits) -> bits
| v -> mismatch_type v [ default_t_bits ]
let as_int = function
| NV_Literal (L_Int i) -> Z.to_int i
| v -> mismatch_type v [ integer' ]
let bitvector_to_value bv = L_BitVector bv |> nv_literal |> return
let int_max x y = if x >= y then x else y
let bad_slices positions =
let slices =
List.map
(fun (start, length) ->
Slice_Length (expr_of_int start, expr_of_int length))
positions
in
Error.(fatal_unknown_pos (BadSlices (Dynamic, slices, 0)))
let slices_to_positions positions =
List.map
(fun (start, length) ->
let start = as_int start and length = as_int length in
if start < 0 || length < 0 then bad_slices [ (start, length) ]
else (start, length))
positions
|> slices_to_positions Fun.id
let read_from_bitvector slices bv =
let positions = slices_to_positions slices in
let max_pos = List.fold_left int_max 0 positions in
let () =
List.iter
(fun x -> if x < 0 then mismatch_type bv [ default_t_bits ])
positions
in
let bv =
match bv with
| NV_Literal (L_BitVector bv) when Bitvector.length bv > max_pos -> bv
| NV_Literal (L_Int i) -> Bitvector.of_z (max_pos + 1) i
| _ ->
mismatch_type bv
[
T_Bits
( E_CTC
( E_Var "-" |> add_dummy_pos,
T_Int
(WellConstrained
[
Constraint_Range
(expr_of_int 0, expr_of_int max_pos);
])
|> add_dummy_pos )
|> add_dummy_pos,
[] );
]
in
let res = Bitvector.extract_slice bv positions in
bitvector_to_value res
let write_to_bitvector slices src dst =
let dst = as_bitvector dst
and src = as_bitvector src
and positions = slices_to_positions slices in
Bitvector.write_slice dst src positions |> bitvector_to_value
let concat_bitvectors bvs =
let bvs = List.map as_bitvector bvs in
Bitvector.concat bvs |> bitvector_to_value
let bitvector_length bv =
let bv = as_bitvector bv in
Bitvector.length bv |> v_of_int
let rec unknown_of_aggregate_type unknown_of_singular_type ~eval_expr_sef ty =
let unknown_of_type =
unknown_of_aggregate_type unknown_of_singular_type ~eval_expr_sef
in
match ty.desc with
| T_Real | T_String | T_Bool | T_Bits _ | T_Int _ ->
unknown_of_singular_type ~eval_expr_sef ty
| T_Array (length, t) ->
let n =
match length with
| ArrayLength_Enum (_, i) -> i
| ArrayLength_Expr e -> (
match eval_expr_sef e with
| NV_Literal (L_Int n) -> Z.to_int n
| _ -> assert false)
in
NV_Vector (List.init n (fun _ -> unknown_of_type t))
| T_Record fields | T_Exception fields ->
fields
|> List.map (fun (field_name, t) -> (field_name, unknown_of_type t))
|> IMap.of_list
|> fun record -> NV_Record record
| T_Enum li ->
let n = List.length li |> expr_of_int in
let range = Constraint_Range (expr_of_int 0, n) in
let t = T_Int (WellConstrained [ range ]) |> add_pos_from ty in
unknown_of_singular_type ~eval_expr_sef t
| T_Tuple types -> NV_Vector (List.map (fun t -> unknown_of_type t) types)
| T_Named _ -> Error.(fatal_from ty TypeInferenceNeeded)
let deterministic_unknown_of_singular_type ~eval_expr_sef ty =
match ty.desc with
| T_Bool -> NV_Literal (L_Bool false)
| T_String -> NV_Literal (L_String "")
| T_Real -> NV_Literal (L_Real Q.zero)
| T_Int UnConstrained -> NV_Literal (L_Int Z.zero)
| T_Int
(WellConstrained ((Constraint_Exact e | Constraint_Range (e, _)) :: _))
->
eval_expr_sef e
| T_Int (UnderConstrained (_, x)) ->
eval_expr_sef (E_Var x |> add_pos_from ty)
| T_Int (WellConstrained []) -> assert false
| T_Bits (e, _) -> (
match eval_expr_sef e with
| NV_Literal (L_Int n) ->
NV_Literal (L_BitVector (Bitvector.zeros (Z.to_int n)))
| _ -> assert false)
| T_Enum _ | T_Tuple _ | T_Array _ | T_Record _ | T_Exception _ | T_Named _
->
assert false
let deterministic_unknown_of_type ~eval_expr_sef =
unknown_of_aggregate_type deterministic_unknown_of_singular_type
~eval_expr_sef
let v_unknown_of_type ~eval_expr_sef ty =
deterministic_unknown_of_type ~eval_expr_sef ty
module Primitives = struct
let return_one v = return [ return v ]
let uint = function
| [ NV_Literal (L_BitVector bv) ] ->
L_Int (Bitvector.to_z_unsigned bv) |> nv_literal |> return_one
| [ v ] -> mismatch_type v [ integer' ]
| li ->
Error.fatal_unknown_pos @@ Error.BadArity ("UInt", 1, List.length li)
let sint = function
| [ NV_Literal (L_BitVector bv) ] ->
L_Int (Bitvector.to_z_signed bv) |> nv_literal |> return_one
| [ v ] -> mismatch_type v [ default_t_bits ]
| li ->
Error.fatal_unknown_pos @@ Error.BadArity ("SInt", 1, List.length li)
let dec_str = function
| [ NV_Literal (L_Int i) ] ->
L_String (Z.to_string i) |> nv_literal |> return_one
| [ v ] -> mismatch_type v [ integer' ]
| li ->
Error.fatal_unknown_pos @@ Error.BadArity ("DecStr", 1, List.length li)
let hex_str = function
| [ NV_Literal (L_Int i) ] ->
L_String (Printf.sprintf "%a" Z.sprint i) |> nv_literal |> return_one
| [ v ] -> mismatch_type v [ integer' ]
| li ->
Error.fatal_unknown_pos @@ Error.BadArity ("DecStr", 1, List.length li)
let ascii_range = Constraint_Range (!$0, !$127)
let ascii_integer = T_Int (WellConstrained [ ascii_range ])
let ascii_str =
let open! Z in
function
| [ NV_Literal (L_Int i) ] when geq zero i && leq ~$127 i ->
L_String (char_of_int (Z.to_int i) |> String.make 1)
|> nv_literal |> return_one
| [ v ] -> mismatch_type v [ ascii_integer ]
| li ->
Error.fatal_unknown_pos @@ Error.BadArity ("DecStr", 1, List.length li)
let log2 = function
| [ NV_Literal (L_Int i) ] when Z.gt i Z.zero ->
[ L_Int (Z.log2 i |> Z.of_int) |> nv_literal ]
| [ v ] -> mismatch_type v [ integer' ]
| li ->
Error.fatal_unknown_pos @@ Error.BadArity ("Log2", 1, List.length li)
let int_to_real = function
| [ NV_Literal (L_Int i) ] ->
L_Real (Q.of_bigint i) |> nv_literal |> return_one
| [ v ] -> mismatch_type v [ integer' ]
| li ->
Error.fatal_unknown_pos @@ Error.BadArity ("Real", 1, List.length li)
let truncate q = Q.to_bigint q
let floor q =
if Q.sign q = -1 then
if Q.den q = Z.one then Q.num q else truncate q |> Z.pred
else truncate q
let ceiling q =
if Q.sign q = 1 then
if Q.den q = Z.one then Q.num q else truncate q |> Z.succ
else truncate q
let wrap_real_to_int name f = function
| [ NV_Literal (L_Real q) ] -> L_Int (f q) |> nv_literal |> return_one
| [ v ] -> mismatch_type v [ T_Real ]
| li -> Error.fatal_unknown_pos @@ Error.BadArity (name, 1, List.length li)
let round_down = wrap_real_to_int "RoundDown" floor
let round_up = wrap_real_to_int "RoundUp" ceiling
let round_towards_zero = wrap_real_to_int "RoundTowardsZero" truncate
let primitives =
let e_var x = E_Var x |> add_dummy_pos in
let eoi i = expr_of_int i in
let binop = ASTUtils.binop in
let minus_one e = binop MINUS e (eoi 1) in
let pow_2 = binop POW (eoi 2) in
let neg e = E_Unop (NEG, e) |> add_pos_from e in
let t_bits x = T_Bits (e_var x, []) |> add_dummy_pos in
let t_int_ctnt e1 e2 =
T_Int (WellConstrained [ Constraint_Range (e1, e2) ]) |> add_dummy_pos
in
let p ?(parameters = []) ~args ?returns name f =
let subprogram_type =
match returns with None -> ST_Procedure | _ -> ST_Function
in
let body = SB_Primitive and return_type = returns in
({ name; parameters; args; body; return_type; subprogram_type }, f)
in
[
(let two_pow_n_minus_one = minus_one (pow_2 (e_var "N")) in
let returns = t_int_ctnt (eoi 0) two_pow_n_minus_one in
p
~parameters:[ ("N", None) ]
~args:[ ("x", t_bits "N") ]
~returns "UInt" uint);
(let two_pow_n_minus_one = pow_2 (minus_one (e_var "N")) in
let minus_two_pow_n_minus_one = neg two_pow_n_minus_one
and two_pow_n_minus_one_minus_one = minus_one two_pow_n_minus_one in
let returns =
t_int_ctnt minus_two_pow_n_minus_one two_pow_n_minus_one_minus_one
in
p
~parameters:[ ("N", None) ]
~args:[ ("x", t_bits "N") ]
~returns "SInt" sint);
p ~args:[ ("x", integer) ] ~returns:string "DecStr" dec_str;
p ~args:[ ("x", integer) ] ~returns:string "HexStr" hex_str;
p ~args:[ ("x", integer) ] ~returns:string "AsciiStr" ascii_str;
p ~args:[ ("x", integer) ] ~returns:integer "Log2" log2;
p ~args:[ ("x", integer) ] ~returns:real "Real" int_to_real;
p ~args:[ ("x", real) ] ~returns:integer "RoundDown" round_down;
p ~args:[ ("x", real) ] ~returns:integer "RoundUp" round_up;
p
~args:[ ("x", real) ]
~returns:integer "RoundTowardsZero" round_towards_zero;
]
end
let primitives = Primitives.primitives
end
let primitive_decls =
List.map (fun (f, _) -> D_Func f |> add_dummy_pos) NativeBackend.primitives
module NativeInterpreter (C : Interpreter.Config) =
Interpreter.Make (NativeBackend) (C)
let exit_value = function
| NV_Literal (L_Int i) -> i |> Z.to_int
| v -> mismatch_type v [ integer' ]
let instrumentation_buffer = function
| Some true ->
(module Instrumentation.SemanticsSingleSetBuffer
: Instrumentation.SEMBUFFER)
| Some false | None ->
(module Instrumentation.SemanticsNoBuffer : Instrumentation.SEMBUFFER)
let interprete strictness ?instrumentation ?static_env ast =
let module B = (val instrumentation_buffer instrumentation) in
let module C : Interpreter.Config = struct
let type_checking_strictness = strictness
let unroll = 0
module Instr = Instrumentation.SemMake (B)
end in
let module I = NativeInterpreter (C) in
B.reset ();
let res =
match static_env with
| Some static_env -> I.run_typed ast static_env
| None -> I.run ast
in
(exit_value res, B.get ())