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|
exception UnsupportedAst of string
let raise_unsupported_ast (type a) (f : Format.formatter -> a -> unit) (x : a) =
let buf = Buffer.create 16 in
let fmt = Format.formatter_of_buffer buf in
f fmt x;
Format.pp_print_flush fmt ();
raise (UnsupportedAst (Buffer.contents buf))
let raise_unsupported_expr = raise_unsupported_ast Pprintast.expression
type 'a index = { index : int } [@@deriving show { with_path = false }]
let get (arr : 'a Arraylist.t) (i : 'a index) : 'a = Arraylist.get arr i.index
type relop = [ `LT | `LTE | `GT | `GTE | `EQ | `NE ]
let string_of_relop : relop -> string = function
| `LT -> "<"
| `LTE -> "<="
| `GT -> ">"
| `GTE -> ">="
| `EQ -> "="
| `NE -> "<>"
type 'a prim =
| Add : (expr index * expr index) prim
| Mul : (expr index * expr index) prim
| Sub : (expr index * expr index) prim
| RelOp : (relop * expr index * expr index) prim
and expr =
| App of expr index * expr index
| Bool of bool
| Cons of expr index * expr index
| If of expr index * expr index * expr index
| Int of int
| Lam of string * expr index
| Let of bool * string * expr index * expr index
| Nil
| Prim : 'a prim * 'a -> expr
| Var of string
type 'a ast = { subexprs : expr Arraylist.t; mutable root : 'a index }
let copy (ast : 'a ast) : 'a ast =
{ subexprs = Arraylist.copy ast.subexprs; root = ast.root }
let get_subexpr (ast : 'a ast) : expr index -> expr = get ast.subexprs
let new_ast () =
{ subexprs = Arraylist.make 0 (Var "<placeholder>"); root = { index = 0 } }
let add_expr_to_ast (ast : 'a ast) : Parsetree.expression -> expr index =
let add (expr : expr) : expr index =
let index = Arraylist.length ast.subexprs in
Arraylist.push ast.subexprs expr;
{ index }
in
let binop (prim : (expr index * expr index) prim) : expr index =
add
(Lam
( "$0",
add (Lam ("$1", add (Prim (prim, (add (Var "$0"), add (Var "$1"))))))
))
in
let rec loop (expr : Parsetree.expression) : expr index =
match expr.pexp_desc with
| Pexp_apply
( { pexp_desc = Pexp_ident { txt = Lident "+"; _ }; _ },
[ (Nolabel, l); (Nolabel, r) ] ) ->
add (Prim (Add, (loop l, loop r)))
| Pexp_apply
( { pexp_desc = Pexp_ident { txt = Lident "-"; _ }; _ },
[ (Nolabel, l); (Nolabel, r) ] ) ->
add (Prim (Sub, (loop l, loop r)))
| Pexp_apply
( { pexp_desc = Pexp_ident { txt = Lident "*"; _ }; _ },
[ (Nolabel, l); (Nolabel, r) ] ) ->
add (Prim (Mul, (loop l, loop r)))
| Pexp_apply
( { pexp_desc = Pexp_ident { txt = Lident "<"; _ }; _ },
[ (Nolabel, l); (Nolabel, r) ] ) ->
add (Prim (RelOp, (`LT, loop l, loop r)))
| Pexp_apply
( { pexp_desc = Pexp_ident { txt = Lident "<="; _ }; _ },
[ (Nolabel, l); (Nolabel, r) ] ) ->
add (Prim (RelOp, (`LTE, loop l, loop r)))
| Pexp_apply
( { pexp_desc = Pexp_ident { txt = Lident ">"; _ }; _ },
[ (Nolabel, l); (Nolabel, r) ] ) ->
add (Prim (RelOp, (`GT, loop l, loop r)))
| Pexp_apply
( { pexp_desc = Pexp_ident { txt = Lident ">="; _ }; _ },
[ (Nolabel, l); (Nolabel, r) ] ) ->
add (Prim (RelOp, (`GTE, loop l, loop r)))
| Pexp_apply
( { pexp_desc = Pexp_ident { txt = Lident "="; _ }; _ },
[ (Nolabel, l); (Nolabel, r) ] ) ->
add (Prim (RelOp, (`EQ, loop l, loop r)))
| Pexp_apply
( { pexp_desc = Pexp_ident { txt = Lident "<>"; _ }; _ },
[ (Nolabel, l); (Nolabel, r) ] ) ->
add (Prim (RelOp, (`NE, loop l, loop r)))
| Pexp_apply (f, xs) ->
List.fold_left
(fun f -> function
| Asttypes.Nolabel, x -> add (App (f, loop x))
| _ -> raise_unsupported_expr expr)
(loop f) xs
| Pexp_constant (Pconst_integer (n, None)) -> add (Int (int_of_string n))
| Pexp_construct
({ txt = Lident "::"; _ }, Some { pexp_desc = Pexp_tuple [ hd; tl ]; _ })
->
add (Cons (loop hd, loop tl))
| Pexp_construct ({ txt = Lident "[]"; _ }, None) -> add Nil
| Pexp_construct ({ txt = Lident "false"; _ }, None) -> add (Bool false)
| Pexp_construct ({ txt = Lident "true"; _ }, None) -> add (Bool true)
| Pexp_fun (Nolabel, None, arg_pat, body) -> (
match arg_pat.ppat_desc with
| Ppat_var { txt = name; _ } -> add (Lam (name, loop body))
| _ -> raise_unsupported_expr expr)
| Pexp_ident { txt = Lident "+"; _ } -> binop Add
| Pexp_ident { txt = Lident "-"; _ } -> binop Sub
| Pexp_ident { txt = Lident "*"; _ } -> binop Mul
| Pexp_ident { txt = Lident name; _ } -> add (Var name)
| Pexp_ifthenelse (cond, then_, Some else_) ->
add (If (loop cond, loop then_, loop else_))
| Pexp_let
( recursive,
[
{
pvb_pat = { ppat_desc = Ppat_var { txt = name; _ }; _ };
pvb_expr;
_;
};
],
body ) ->
let recursive =
match recursive with Nonrecursive -> false | Recursive -> true
in
add (Let (recursive, name, loop pvb_expr, loop body))
| _ -> raise_unsupported_expr expr
in
loop
let expr_of_parsetree (expr : Parsetree.expression) : expr ast =
let ast = new_ast () in
ast.root <- add_expr_to_ast ast expr;
ast
module Wrap = struct
let expression (pexp_desc : Parsetree.expression_desc) : Parsetree.expression
=
{
pexp_desc;
pexp_loc = Location.none;
pexp_loc_stack = [];
pexp_attributes = [];
}
let ident (name : string) : Longident.t Asttypes.loc =
{ txt = Lident name; loc = Location.none }
let pattern (ppat_desc : Parsetree.pattern_desc) : Parsetree.pattern =
{
ppat_desc;
ppat_loc = Location.none;
ppat_loc_stack = [];
ppat_attributes = [];
}
let var (name : string) : string Asttypes.loc =
{ txt = name; loc = Location.none }
end
let parsetree_of_subexpr (ast : 'a ast) : expr -> Parsetree.expression =
let subexpr = get_subexpr ast in
let list_of_apps expr =
let rec loop = function
| App (f, x) ->
let f, xs = loop (subexpr f) in
(f, x :: xs)
| f -> (f, [])
in
let f, xs = loop expr in
(f, List.rev xs)
in
let rec loop : expr -> Parsetree.expression = function
| App _ as expr ->
let f, xs = list_of_apps expr in
let xs = List.map (fun x -> (Asttypes.Nolabel, loop (subexpr x))) xs in
Wrap.expression (Pexp_apply (loop f, xs))
| Bool b ->
Wrap.expression (Pexp_construct (Wrap.ident (string_of_bool b), None))
| Cons (hd, tl) ->
Wrap.expression
(Pexp_construct
( Wrap.ident "::",
Some
(Wrap.expression
(Pexp_tuple [ loop (subexpr hd); loop (subexpr tl) ])) ))
| If (cond, then_, else_) ->
Wrap.expression
(Pexp_ifthenelse
( loop (subexpr cond),
loop (subexpr then_),
Some (loop (subexpr else_)) ))
| Int n ->
Wrap.expression (Pexp_constant (Pconst_integer (Int.to_string n, None)))
| Lam (x, b) ->
Wrap.expression
(Pexp_fun
( Nolabel,
None,
Wrap.pattern (Ppat_var (Wrap.var x)),
loop (subexpr b) ))
| Let (recursive, name, bound, body) ->
Wrap.expression
(Pexp_let
( (if recursive then Recursive else Nonrecursive),
[
{
pvb_pat = Wrap.pattern (Ppat_var (Wrap.var name));
pvb_expr = loop (subexpr bound);
pvb_constraint = None;
pvb_attributes = [];
pvb_loc = Location.none;
};
],
loop (subexpr body) ))
| Nil -> Wrap.expression (Pexp_construct (Wrap.ident "[]", None))
| Prim (Add, (l, r)) ->
Wrap.expression
(Pexp_apply
( Wrap.expression (Pexp_ident (Wrap.ident "+")),
[ (Nolabel, loop (subexpr l)); (Nolabel, loop (subexpr r)) ] ))
| Prim (Sub, (l, r)) ->
Wrap.expression
(Pexp_apply
( Wrap.expression (Pexp_ident (Wrap.ident "-")),
[ (Nolabel, loop (subexpr l)); (Nolabel, loop (subexpr r)) ] ))
| Prim (Mul, (l, r)) ->
Wrap.expression
(Pexp_apply
( Wrap.expression (Pexp_ident (Wrap.ident "*")),
[ (Nolabel, loop (subexpr l)); (Nolabel, loop (subexpr r)) ] ))
| Prim (RelOp, (op, l, r)) ->
Wrap.expression
(Pexp_apply
( Wrap.expression (Pexp_ident (Wrap.ident (string_of_relop op))),
[ (Nolabel, loop (subexpr l)); (Nolabel, loop (subexpr r)) ] ))
| Var name -> Wrap.expression (Pexp_ident (Wrap.ident name))
in
loop
let parsetree_of_expr (ast : expr ast) : Parsetree.expression =
parsetree_of_subexpr ast (get_subexpr ast ast.root)
let show_expr (expr : expr ast) : string =
let buf = Buffer.create 16 in
let fmt = Format.formatter_of_buffer buf in
Pprintast.expression fmt (parsetree_of_expr expr);
Format.pp_print_flush fmt ();
Buffer.contents buf
type binders = expr index option array
let get_binders (ast : expr ast) : binders =
let out = Array.make (Arraylist.length ast.subexprs) None in
let rec loop (env : (string * expr index) list) (i : expr index) : unit =
match get_subexpr ast i with
| App (f, x) ->
loop env f;
loop env x
| Cons (hd, tl) ->
loop env hd;
loop env tl
| If (cond, then_, else_) ->
loop env cond;
loop env then_;
loop env else_
| Lam (x, b) -> loop ((x, i) :: env) b
| Let (false, name, bound, body) ->
loop env bound;
loop ((name, i) :: env) body
| Let (true, name, bound, body) ->
loop ((name, i) :: env) bound;
loop ((name, i) :: env) body
| Prim (Add, (l, r)) ->
loop env l;
loop env r
| Prim (Sub, (l, r)) ->
loop env l;
loop env r
| Prim (Mul, (l, r)) ->
loop env l;
loop env r
| Prim (RelOp, (_, l, r)) ->
loop env l;
loop env r
| Var name -> out.(i.index) <- List.assoc_opt name env
| Bool _ | Int _ | Nil -> ()
in
loop [] ast.root;
out
|