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(** Copyright 2021-2025, Kakadu and contributors *)
(** SPDX-License-Identifier: LGPL-3.0-or-later *)
open Angstrom
open Ast
(* map operator for angstrom *)
let ( let+ ) = Angstrom.( >>| )
(* polymorphic variant with one constructor *)
type error = [ `Parsing_error of string ]
(* spaces and lexis *)
let is_space = function
| ' ' | '\t' | '\n' | '\r' -> true
| _ -> false
;;
let spaces = skip_while is_space
let spaces1 = satisfy is_space *> spaces
let lexeme p = spaces *> p
(* parser for one specific character c *)
let sym c = lexeme (char c)
(* predicate function for identifiers *)
let is_ident_start = function
| 'a' .. 'z' | 'A' .. 'Z' | '_' | '&' -> true
| _ -> false
;;
(* predicate functions for identifiers *)
let is_ident_char = function
| 'a' .. 'z' | 'A' .. 'Z' | '_' | '0' .. '9' | '&' -> true
| _ -> false
;;
let kwd s =
let open Angstrom in
if String.for_all is_ident_char s
then
lexeme
(string s
<* (peek_char
>>= function
| Some c when is_ident_char c -> fail "keyword boundary"
| _ -> return ()))
else lexeme (string s)
;;
(* list of key words *)
let keywords = [ "let"; "in"; "fun"; "rec"; "if"; "then"; "else"; "true"; "false" ]
let is_keyword s = List.mem s keywords
(*
in parse case: "foo123"
-> Ok "foo123"
in parse case: "let"
-> Error "keyword cannot be used as an identifier" *)
let identifier : name Angstrom.t =
let open Angstrom in
let raw_ident =
let* first = satisfy is_ident_start in
let* rest = take_while is_ident_char in
return (String.make 1 first ^ rest)
in
let* name = lexeme raw_ident in
if is_keyword name then fail "keyword cannot be used as an identifier" else return name
;;
(* consts *)
let is_digit = function
| '0' .. '9' -> true
| _ -> false
;;
let integer : int Angstrom.t =
let open Angstrom in
spaces
*>
let* sign = option 1 (char '-' *> return (-1)) in
let* digits = take_while1 is_digit in
return (sign * int_of_string digits)
;;
let const_int =
let+ n = integer in
Const (Int n)
;;
let const_unit = lexeme (string "()") *> return (Const Unit)
let const_bool =
kwd "true" *> return (Const (Int 1)) <|> kwd "false" *> return (Const (Int 0))
;;
(* variables *)
let var_expr : expression Angstrom.t =
let+ x = identifier in
Var x
;;
let parens p = sym '(' *> p <* sym ')'
(* operations *)
let parse_op_add = sym '+' *> return OpAdd
let parse_op_sub = sym '-' *> return OpSub
let parse_op_mul = sym '*' *> return OpMul
let parse_op_div = sym '/' *> return OpDiv
let parse_cmp_op : operation_id Angstrom.t =
let open Angstrom in
spaces
*> choice
[ string "<=" *> return OpLte
; string ">=" *> return OpGte
; string ">" *> return OpGt
; string "<" *> return OpLt
; string "=" *> return OpEq
]
;;
(* syntax sugar for fun x y -> e
example result: Fun ("x", Fun ("y", Fun ("z", body)))
with args : [x, y, z]
*)
let curry_fun (args : name list) (body : expression) : expression =
List.fold_right (fun x e -> Fun (x, e)) args body
;;
(* left-associative chain combinator
((1 + 2) + 3)
with "1+2+3"
*)
let chainl1 p op =
let open Angstrom in
let rec loop acc =
(let* apply = op in
let* operand = p in
loop (apply acc operand))
<|> return acc
in
let* first = p in
loop first
;;
(* basic grammar levels *)
let expr : expression Angstrom.t =
fix (fun expr ->
(* fun x y -> e *)
let lambda =
let args = kwd "fun" *> spaces *> many1 identifier <* spaces <* kwd "->" in
let* xs = args in
let+ body = expr in
curry_fun xs body
in
(* basic atom without application *)
let atom0 =
choice [ const_unit; const_bool; const_int; lambda; var_expr; parens expr ]
in
(* application: f a b c
example input: f x y
output: App (App (Var "f", Var "x"), Var "y") *)
let application =
let open Angstrom in
let* f = atom0 in
let+ args = many1 (spaces1 *> atom0) in
List.fold_left (fun acc a -> App (acc, a)) f args
in
let atom = application <|> atom0 in
(* level * and / *)
let mul_div =
let op =
let+ op = parse_op_mul <|> parse_op_div in
fun l r -> BinOp (op, l, r)
in
chainl1 atom op
in
(* level + and - *)
let add_sub =
let op =
let+ op = parse_op_add <|> parse_op_sub in
fun l r -> BinOp (op, l, r)
in
chainl1 mul_div op
in
(* comparisons we allow only one comparison in the chain:
a + b < c - d
*)
let cmp_level =
let open Angstrom in
let* left = add_sub in
option
left
(let* op = parse_cmp_op in
let+ right = add_sub in
BinOp (op, left, right))
in
(* if ... then ... else ... *)
let if_expr =
let open Angstrom in
let* cond = kwd "if" *> cmp_level in
let* thn = kwd "then" *> expr in
let* els =
option
None
(let+ e = kwd "else" *> expr in
Some e)
in
return (If (cond, thn, els))
in
(* let / let rec *)
let let_expr =
let open Angstrom in
let* kind = kwd "let" *> spaces *> option NonRec (kwd "rec" *> return Rec) in
let* name = identifier in
(* function parameters: let f x y = e *)
let* args = many identifier in
let* bound = sym '=' *> expr in
let value = curry_fun args bound in
let* body_opt =
option
None
(let+ body = kwd "in" *> expr in
Some body)
in
let scope =
match body_opt with
| None -> GlobalVar
| Some _ -> LocalVar
in
return (Let (scope, kind, name, value, body_opt))
in
(* top level: first let/if, then regular expressions *)
choice [ let_expr; if_expr; cmp_level ])
;;
(* wrapper over angshtorm *)
let parse (s : string) : (expression, error) result =
match parse_string ~consume:Consume.All (spaces *> expr <* spaces) s with
| Ok e -> Ok e
| Error msg -> Error (`Parsing_error msg)
;;
let pp_error fmt (`Parsing_error msg) = Format.fprintf fmt "Parse error: %s" msg