lama_byterun/src/SM.ml

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OCaml
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open GT
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open Language
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(* The type for patters *)
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@type patt = StrCmp | String | Array | Sexp | Boxed | UnBoxed | Closure with show
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(* The type for the stack machine instructions *)
@type insn =
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(* binary operator *) | BINOP of string
(* put a constant on the stack *) | CONST of int
(* put a string on the stack *) | STRING of string
(* create an S-expression *) | SEXP of string * int
(* load a variable to the stack *) | LD of Value.designation
(* load a variable address to the stack *) | LDA of Value.designation
(* store a value into a variable *) | ST of Value.designation
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(* store a value into a reference *) | STI
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(* store a value into array/sexp/string *) | STA
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(* a label *) | LABEL of string
(* unconditional jump *) | JMP of string
(* conditional jump *) | CJMP of string * string
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(* begins procedure definition *) | BEGIN of string * int * int * Value.designation list
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(* end procedure definition *) | END
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(* create a closure *) | CLOSURE of string
(* calls a function/procedure *) | CALL of int
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(* returns from a function *) | RET
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(* drops the top element off *) | DROP
(* duplicates the top element *) | DUP
(* swaps two top elements *) | SWAP
(* checks the tag and arity of S-expression *) | TAG of string * int
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(* checks the tag and size of array *) | ARRAY of int
(* checks various patterns *) | PATT of patt
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with show
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(* The type for the stack machine program *)
@type prg = insn list with show
let print_prg p = List.iter (fun i -> Printf.eprintf "%s\n%!" (show(insn) i)) p;;
(* Values *)
@type value = (string, value array) Value.t with show
(* Local state of the SM *)
@type local = { args : value array; locals : value array; closure : value array } with show
(* Global state of the SM *)
@type global = (string, value) arrow
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(* Control stack *)
@type control = (prg * local) list with show
(* Data stack *)
@type stack = value list with show
(* The type for the stack machine configuration: control stack, stack, global and local states,
input and output streams
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*)
type config = control * stack * global * local * int list * int list
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(* Stack machine interpreter
val eval : env -> config -> prg -> config
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Takes an environment, a configuration and a program, and returns a configuration as a result. The
environment is used to locate a label to jump to (via method env#labeled <label_name>)
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*)
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let split n l =
let rec unzip (taken, rest) = function
| 0 -> (List.rev taken, rest)
| n -> let h::tl = rest in unzip (h::taken, tl) (n-1)
in
unzip ([], l) n
let update glob loc z = function
| Value.Global x -> State.bind x z glob
| Value.Local i -> loc.locals.(i) <- z; glob
| Value.Arg i -> loc.args.(i) <- z; glob
| Value.Access i -> loc.closure.(i) <- z; glob
let print_stack memo s =
Printf.eprintf "Memo %!";
List.iter (fun v -> Printf.eprintf "%s " @@ show(value) v) s;
Printf.eprintf "\n%!"
let rec eval env (((cstack, stack, glob, loc, i, o) as conf) : config) = function
| [] -> conf
| insn :: prg' ->
(match insn with
| BINOP op -> let y::x::stack' = stack in eval env (cstack, (Value.of_int @@ Expr.to_func op (Value.to_int x) (Value.to_int y)) :: stack', glob, loc, i, o) prg'
| CONST n -> eval env (cstack, (Value.of_int n)::stack, glob, loc, i, o) prg'
| STRING s -> eval env (cstack, (Value.of_string @@ Bytes.of_string s)::stack, glob, loc, i, o) prg'
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| SEXP (s, n) -> let vs, stack' = split n stack in
eval env (cstack, (Value.sexp s @@ List.rev vs)::stack', glob, loc, i, o) prg'
| LD x -> eval env (cstack, (match x with
| Value.Global x -> glob x
| Value.Local i -> loc.locals.(i)
| Value.Arg i -> loc.args.(i)
| Value.Access i -> loc.closure.(i)) :: stack, glob, loc, i, o) prg'
| LDA x -> eval env (cstack, (Value.Var x) :: stack, glob, loc, i, o) prg'
| ST x -> let z::stack' = stack in
eval env (cstack, z::stack', update glob loc z x, loc, i, o) prg'
| STI -> let z::(Value.Var r)::stack' = stack in
eval env (cstack, z::stack', update glob loc z r, loc, i, o) prg'
| STA -> let v::j::x::stack' = stack in
Value.update_elem x (Value.to_int j) v;
eval env (cstack, v::stack', glob, loc, i, o) prg'
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| LABEL _ -> eval env conf prg'
| JMP l -> eval env conf (env#labeled l)
| CJMP (c, l) -> let x::stack' = stack in
eval env (cstack, stack', glob, loc, i, o) (if (c = "z" && Value.to_int x = 0) || (c = "nz" && Value.to_int x <> 0) then env#labeled l else prg')
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| CLOSURE name -> let BEGIN (_, _, _, dgs) :: _ = env#labeled name in
let closure =
Array.of_list @@
List.map (
function
| Value.Arg i -> loc.args.(i)
| Value.Local i -> loc.locals.(i)
| Value.Access i -> loc.closure.(i)
| _ -> invalid_arg "wrong value in CLOSURE")
dgs
in
eval env (cstack, (Value.Closure ([], name, closure)) :: stack, glob, loc, i, o) prg'
| CALL n -> let vs, stack' = split (n+1) stack in
let f::args = List.rev vs in
(match f with
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| Value.Builtin f ->
eval env (env#builtin f (List.rev args) ((cstack, stack', glob, loc, i, o) : config)) prg'
| Value.Closure (_, f, closure) ->
eval env ((prg', loc)::cstack, stack', glob, {args = Array.of_list args; locals = [||]; closure = closure}, i, o) (env#labeled f)
| _ -> invalid_arg "not a closure (or a builtin) in CALL: %s\n" @@ show(value) f
)
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| BEGIN (_, _, locals, _) -> eval env (cstack, stack, glob, {loc with locals = Array.init locals (fun _ -> Value.Empty)}, i, o) prg'
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| END -> (match cstack with
| (prg', loc')::cstack' -> eval env (cstack', Value.Empty :: stack, glob, loc', i, o) prg'
| [] -> conf
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)
| RET -> (match cstack with
| (prg', loc')::cstack' -> eval env (cstack', stack, glob, loc', i, o) prg'
| [] -> conf
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)
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| DROP -> eval env (cstack, List.tl stack, glob, loc, i, o) prg'
| DUP -> eval env (cstack, List.hd stack :: stack, glob, loc, i, o) prg'
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| SWAP -> let x::y::stack' = stack in
eval env (cstack, y::x::stack', glob, loc, i, o) prg'
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| TAG (t, n) -> let x::stack' = stack in
eval env (cstack, (Value.of_int @@ match x with Value.Sexp (t', a) when t' = t && Array.length a = n -> 1 | _ -> 0) :: stack', glob, loc, i, o) prg'
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| ARRAY n -> let x::stack' = stack in
eval env (cstack, (Value.of_int @@ match x with Value.Array a when Array.length a = n -> 1 | _ -> 0) :: stack', glob, loc, i, o) prg'
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| PATT StrCmp -> let x::y::stack' = stack in
eval env (cstack, (Value.of_int @@ match x, y with (Value.String xs, Value.String ys) when xs = ys -> 1 | _ -> 0) :: stack', glob, loc, i, o) prg'
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| PATT Array -> let x::stack' = stack in
eval env (cstack, (Value.of_int @@ match x with Value.Array _ -> 1 | _ -> 0) :: stack', glob, loc, i, o) prg'
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| PATT String -> let x::stack' = stack in
eval env (cstack, (Value.of_int @@ match x with Value.String _ -> 1 | _ -> 0) :: stack', glob, loc, i, o) prg'
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| PATT Sexp -> let x::stack' = stack in
eval env (cstack, (Value.of_int @@ match x with Value.Sexp _ -> 1 | _ -> 0) :: stack', glob, loc, i, o) prg'
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| PATT Boxed -> let x::stack' = stack in
eval env (cstack, (Value.of_int @@ match x with Value.Int _ -> 0 | _ -> 1) :: stack', glob, loc, i, o) prg'
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| PATT UnBoxed -> let x::stack' = stack in
eval env (cstack, (Value.of_int @@ match x with Value.Int _ -> 1 | _ -> 0) :: stack', glob, loc, i, o) prg'
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| PATT Closure -> let x::stack' = stack in
eval env (cstack, (Value.of_int @@ match x with Value.Closure _ -> 1 | _ -> 0) :: stack', glob, loc, i, o) prg'
)
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(* Top-level evaluation
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val run : prg -> int list -> int list
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Takes a program, an input stream, and returns an output stream this program calculates
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*)
let run p i =
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(* print_prg p; *)
let module M = Map.Make (String) in
let rec make_env (m, s) = function
| [] -> (m, s)
| (LABEL l) :: tl -> make_env (M.add l tl m, State.bind l (Value.Closure ([], l, [||])) s) tl
| _ :: tl -> make_env (m, s) tl
in
let m, glob = make_env (M.empty, State.undefined) p in
let (_, _, _, _, i, o) =
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eval
object
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method is_label l = M.mem l m
method labeled l = M.find l m
method builtin f args ((cstack, stack, glob, loc, i, o) as conf : config) =
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let f = match f.[0] with 'L' -> String.sub f 1 (String.length f - 1) | _ -> f in
let (st, i, o, r) = Language.Builtin.eval (State.I, i, o, []) (List.map Obj.magic @@ List.rev args) f in
(cstack, (match r with [r] -> (Obj.magic r)::stack | _ -> Value.Empty :: stack), glob, loc, i, o)
end
([], [Value.Closure ([], "main", [||])], (List.fold_left (fun s (name, value) -> State.bind name value s) glob (Builtin.bindings ())), {locals=[||]; args=[||]; closure=[||]}, i, [])
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p
in
o
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(* Stack machine compiler
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val compile : Language.t -> prg
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Takes a program in the source language and returns an equivalent program for the
stack machine
*)
let label s = "L" ^ s
let scope_label i s = label s ^ "_" ^ string_of_int i
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let check_name_and_add names name mut =
if List.exists (fun (n, _) -> n = name) names
then invalid_arg (Printf.sprintf "name %s is already defined in the scope\n" name)
else (name, mut) :: names
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class env =
object (self : 'self)
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val label_index = 0
val scope_index = 0
val local_index = 0
val arg_index = 0
val acc_index = 0
val nlocals = 0
val lam_index = 0
val st = (State.I : Value.designation State.t)
val enclosing_st = (State.I : Value.designation State.t)
val closure = ([] : Value.designation list)
val fundefs = ([] : (string * string list * Expr.t * Value.designation State.t) list)
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method get_label = (label @@ string_of_int label_index), {< label_index = label_index + 1 >}
method nargs = arg_index
method nlocals = nlocals
method push_scope = {<
scope_index = scope_index + 1;
st = match st with
| State.I -> State.G (Builtin.names, List.fold_left (fun s (name, value) -> State.bind name (Value.Global name) s) State.undefined (Builtin.bindings ()))
| _ -> State.L ([], State.undefined, st)
>}
method pop_scope =
match st with
| State.G _ -> {< st = State.I >}
| State.L (xs, _, x) -> {< st = x; local_index = local_index - List.length xs >}
method init_fun_scope (st' : Value.designation State.t) =
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{< st = (
let rec readdress_to_closure = function
| State.L (xs, _, tl) ->
State.L (xs, (fun _ -> Value.Access (~-1)), readdress_to_closure tl)
| st -> st
in
readdress_to_closure st'
);
enclosing_st = st';
arg_index = 0;
local_index = 0;
acc_index = 0;
nlocals = 0;
closure = []
>} # push_scope
method add_arg (name : string) = {<
st = (match st with
| State.I | State.G _ ->
invalid_arg "wrong scope in add_arg"
| State.L (names, s, p) ->
State.L (check_name_and_add names name true, State.bind name (Value.Arg arg_index) s, p));
arg_index = arg_index + 1
>}
method add_name (name : string) (mut : bool) = {<
st = (match st with
| State.I ->
invalid_arg "uninitialized scope"
| State.G (names, s) ->
State.G (check_name_and_add names name mut, State.bind name (Value.Global name) s)
| State.L (names, s, p) ->
State.L (check_name_and_add names name mut, State.bind name (Value.Local local_index) s, p));
local_index = (match st with State.L _ -> local_index + 1 | _ -> local_index);
nlocals = (match st with State.L _ -> max (local_index + 1) nlocals | _ -> nlocals)
>}
method fun_internal_name (name : string) =
(match st with State.G _ -> label | _ -> scope_label scope_index) name
method add_fun_name (name : string) =
let name' = self#fun_internal_name name in
let st' =
match st with
| State.I ->
invalid_arg "uninitialized scope"
| State.G (names, s) ->
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State.G (check_name_and_add names name false, State.bind name (Value.Fun name') s)
| State.L (names, s, p) ->
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State.L (check_name_and_add names name false, State.bind name (Value.Fun name') s, p)
in
{<
st = st'
>}
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method add_lambda (args : string list) (body : Expr.t) =
let name' = self#fun_internal_name (Printf.sprintf "lambda_%d" lam_index) in
{< fundefs = (name', args, body, st) :: fundefs; lam_index = lam_index + 1 >}, name'
method add_fun (name : string) (args : string list) (body : Expr.t) =
let name' = self#fun_internal_name name in
{<
fundefs = (name', args, body, st) :: fundefs
>}
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method lookup name =
match State.eval st name with
| Value.Access n when n = ~-1 ->
let index = acc_index in
let enclosing_loc = State.eval enclosing_st name in
{< st = State.update name (Value.Access index) st; acc_index = acc_index + 1; closure = enclosing_loc :: closure >}, Value.Access index
| other -> self, other
method next_definition =
match fundefs with
| [] -> None
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| (name, args, body, st) :: rest -> Some ({< fundefs = rest >}, (name, args, body, st))
method closure = List.rev closure
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end
let compile p =
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let rec pattern env lfalse = function
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| Pattern.Wildcard -> env, false, [DROP]
| Pattern.Named (_, p) -> pattern env lfalse p
| Pattern.Const c -> env, true, [CONST c; BINOP "=="; CJMP ("z", lfalse)]
| Pattern.String s -> env, true, [STRING s; PATT StrCmp; CJMP ("z", lfalse)]
| Pattern.ArrayTag -> env, true, [PATT Array; CJMP ("z", lfalse)]
| Pattern.StringTag -> env, true, [PATT String; CJMP ("z", lfalse)]
| Pattern.SexpTag -> env, true, [PATT Sexp; CJMP ("z", lfalse)]
| Pattern.UnBoxed -> env, true, [PATT UnBoxed; CJMP ("z", lfalse)]
| Pattern.Boxed -> env, true, [PATT Boxed; CJMP ("z", lfalse)]
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| Pattern.ClosureTag -> env, true, [PATT Closure; CJMP ("z", lfalse)]
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| Pattern.Array ps ->
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let lhead, env = env#get_label in
let ldrop, env = env#get_label in
let tag = [DUP; ARRAY (List.length ps); CJMP ("nz", lhead); LABEL ldrop; DROP; JMP lfalse; LABEL lhead] in
let code, env = pattern_list lhead ldrop env ps in
env, true, tag @ code @ [DROP]
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| Pattern.Sexp (t, ps) ->
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let lhead, env = env#get_label in
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let ldrop, env = env#get_label in
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let tag = [DUP; TAG (t, List.length ps); CJMP ("nz", lhead); LABEL ldrop; DROP; JMP lfalse; LABEL lhead] in
let code, env = pattern_list lhead ldrop env ps in
env, true, tag @ code @ [DROP]
and pattern_list lhead ldrop env ps =
let _, env, code =
List.fold_left
(fun (i, env, code) p ->
let env, _, pcode = pattern env ldrop p in
i+1, env, ([DUP; LD (Value.Global ".elem"); SWAP; CONST i; CALL 2] @ pcode) :: code
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)
(0, env, [])
ps
in
List.flatten (List.rev code), env
and bindings env p =
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let bindings =
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transform(Pattern.t)
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(fun fself ->
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object inherit [int list, _, (string * int list) list] @Pattern.t
method c_Wildcard path _ = []
method c_Named path _ s p = [s, path] @ fself path p
method c_Sexp path _ x ps = List.concat @@ List.mapi (fun i p -> fself (path @ [i]) p) ps
method c_UnBoxed _ _ = []
method c_StringTag _ _ = []
method c_String _ _ _ = []
method c_SexpTag _ _ = []
method c_Const _ _ _ = []
method c_Boxed _ _ = []
method c_ArrayTag _ _ = []
method c_ClosureTag _ _ = []
method c_Array path _ ps = List.concat @@ List.mapi (fun i p -> fself (path @ [i]) p) ps
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end)
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[]
p
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in
let env, code =
List.fold_left
(fun (env, acc) (name, path) ->
let env = env#add_name name true in
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let env, dsg = env#lookup name in
env,
([DUP] @
List.concat (List.map (fun i -> [LD (Value.Global ".elem"); SWAP; CONST i; CALL 2]) path) @
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[ST dsg; DROP]) :: acc
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)
(env, [])
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(List.rev bindings)
in
env, (List.flatten code) @ [DROP]
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and add_code (env, flag, s) l f s' = env, f, s @ (if flag then [LABEL l] else []) @ s'
and compile_list l env = function
| [] -> env, false, []
| [e] -> compile_expr l env e
| e::es ->
let les, env = env#get_label in
let env, flag1, s1 = compile_expr les env e in
let env, flag2, s2 = compile_list l env es in
add_code (env, flag1, s1) les flag2 s2
and compile_expr l env = function
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| Expr.Lambda (args, b) ->
let env, name = env#add_lambda args b in
env, false, [CLOSURE name]
| Expr.Scope (ds, e) ->
let env = env#push_scope in
let env, e, funs =
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List.fold_left
(fun (env, e, funs) ->
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function
| name, `Fun (args, b) -> env#add_fun_name name, e, (name, args, b) :: funs
| name, `Variable None -> env#add_name name true, e, funs
| name, `Variable (Some v) -> env#add_name name true, Expr.Seq (Expr.Ignore (Expr.Assign (Expr.Ref name, v)), e), funs
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)
(env, e, [])
(List.rev ds)
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in
let env = List.fold_left (fun env (name, args, b) -> env#add_fun name args b) env funs in
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let env, flag, code = compile_expr l env e in
env#pop_scope, flag, code
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| Expr.Unit -> env, false, [CONST 0]
| Expr.Ignore s -> let ls, env = env#get_label in
add_code (compile_expr ls env s) ls false [DROP]
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| Expr.ElemRef (x, i) -> compile_list l env [x; i]
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| Expr.Var x -> let env, acc = env#lookup x in env, false, [match acc with Value.Fun name -> CLOSURE name | _ -> LD acc]
| Expr.Ref x -> let env, acc = env#lookup x in env, false, [LDA acc]
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| Expr.Const n -> env, false, [CONST n]
| Expr.String s -> env, false, [STRING s]
| Expr.Binop (op, x, y) -> let lop, env = env#get_label in
add_code (compile_list lop env [x; y]) lop false [BINOP op]
| Expr.Call (f, args) -> let lcall, env = env#get_label in
add_code (compile_list lcall env (f :: args)) lcall false [CALL (List.length args)]
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| Expr.Array xs -> let lar, env = env#get_label in
add_code (compile_list lar env ((Expr.Var ".array") :: xs)) lar false [CALL (List.length xs)]
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| Expr.Sexp (t, xs) -> let lsexp, env = env#get_label in
add_code (compile_list lsexp env xs) lsexp false [SEXP (t, List.length xs)]
| Expr.Elem (a, i) -> let lelem, env = env#get_label in
add_code (compile_list lelem env [Expr.Var ".elem"; a; i]) lelem false [CALL 2]
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| Expr.Length e -> let llen, env = env#get_label in
add_code (compile_list llen env [Expr.Var ".length"; e]) llen false [CALL 1]
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| Expr.StringVal e -> let lsv, env = env#get_label in
add_code (compile_list lsv env [Expr.Var ".stringval"; e]) lsv false [CALL 1]
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| Expr.Assign (x, e) -> let lassn, env = env#get_label in
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add_code (compile_list lassn env [x; e]) lassn false [match x with Expr.ElemRef _ -> STA | _ -> STI]
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| Expr.Skip -> env, false, []
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| Expr.Seq (s1, s2) -> compile_list l env [s1; s2]
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| Expr.If (c, s1, s2) -> let le, env = env#get_label in
let l2, env = env#get_label in
let env, fe , se = compile_expr le env c in
let env, flag1, s1 = compile_expr l env s1 in
let env, flag2, s2 = compile_expr l env s2 in
env, true, se @ (if fe then [LABEL le] else []) @ [CJMP ("z", l2)] @ s1 @ (if flag1 then [] else [JMP l]) @ [LABEL l2] @ s2 @ (if flag2 then [] else [JMP l])
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| Expr.While (c, s) -> let lexp, env = env#get_label in
let loop, env = env#get_label in
let cond, env = env#get_label in
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let env, fe, se = compile_expr lexp env c in
let env, _ , s = compile_expr cond env s in
env, false, [JMP cond; LABEL loop] @ s @ [LABEL cond] @ se @ (if fe then [LABEL lexp] else []) @ [CJMP ("nz", loop)]
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| Expr.Repeat (s, c) -> let lexp , env = env#get_label in
let loop , env = env#get_label in
let check, env = env#get_label in
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let env, fe , se = compile_expr lexp env c in
let env, flag, body = compile_expr check env s in
env, false, [LABEL loop] @ body @ (if flag then [LABEL check] else []) @ se @ (if fe then [LABEL lexp] else []) @ [CJMP ("z", loop)]
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| Expr.Return (Some e) -> let lret, env = env#get_label in
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add_code (compile_expr lret env e) lret false [RET]
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| Expr.Return None -> env, false, [CONST 0; RET]
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| Expr.Leave -> env, false, []
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| Expr.Case (e, [p, s]) ->
let lexp , env = env#get_label in
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let ldrop, env = env#get_label in
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let env, fe , se = compile_expr lexp env e in
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let env, ldrop' , pcode = pattern env ldrop p in
let env = env#push_scope in
let env, bindcode = bindings env p in
let env, ldrop'', scode = compile_expr ldrop env s in
let env = env#pop_scope in
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if ldrop' || ldrop''
then env, true , se @ (if fe then [LABEL lexp] else []) @ [DUP] @ pcode @ bindcode @ scode @ [JMP l; LABEL ldrop; DROP]
else env, false, se @ (if fe then [LABEL lexp] else []) @ [DUP] @ pcode @ bindcode @ scode
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| Expr.Case (e, brs) ->
let n = List.length brs - 1 in
let lexp, env = env#get_label in
let env , fe , se = compile_expr lexp env e in
let env , _, _, code, _ =
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List.fold_left
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(fun ((env, lab, i, code, continue) as acc) (p, s) ->
if continue
then
let (lfalse, env), jmp =
if i = n
then (l, env), []
else env#get_label, [JMP l]
in
let env, lfalse', pcode = pattern env lfalse p in
let env = env#push_scope in
let env, bindcode = bindings env p in
let env, l' , scode = compile_expr l env s in
let env = env#pop_scope in
(env, Some lfalse, i+1, ((match lab with None -> [] | Some l -> [LABEL l; DUP]) @ pcode @ bindcode @ scode @ jmp) :: code, lfalse')
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else acc
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)
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(env, None, 0, [], true) brs
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in
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env, true, se @ (if fe then [LABEL lexp] else []) @ [DUP] @ (List.flatten @@ List.rev code) @ [JMP l]
in
let compile_fundef env (name, args, stmt, st) =
let env = env#init_fun_scope st in
let env = List.fold_left (fun env arg -> env#add_arg arg) env args in
let lend, env = env#get_label in
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let env, flag, code = compile_expr lend env stmt in
env#pop_scope,
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[LABEL name; BEGIN (name, env#nargs, env#nlocals, env#closure)] @
code @
(if flag then [LABEL lend] else []) @
[END]
in
let rec compile_fundefs acc env =
match env#next_definition with
| None -> List.flatten @@ List.rev acc
| Some (env, def) ->
let env, code = compile_fundef env def in
compile_fundefs (code :: acc) env
in
let env = new env in
let lend, env = env#get_label in
let env, flag, code = compile_expr lend env p in
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let prg = compile_fundefs [[BEGIN ("main", 0, env#nlocals, [])] @(if flag then code @ [LABEL lend] else code) @ [END]] env in
print_prg prg; prg