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[@@@ocaml.text "/*"]
(** Copyright 2021-2024, Kakadu and contributors *)
(** SPDX-License-Identifier: LGPL-3.0-or-later *)
[@@@ocaml.text "/*"]
type error =
| UnexpectedEnd
| UnexpectedRest of string
| SyntaxError of string
type 'a result =
| Parsed of 'a * char list
| ParseError of error
let return res chars = Parsed (res, chars)
let fail error _ = ParseError error
let fix =
let rec fix f s = f (fix f) s in
fix
;;
let bind parser transform chars =
match parser chars with
| Parsed (a, rest) -> transform a rest
| ParseError _ as e -> e
;;
let ( >>= ) = bind
let ( let* ) = bind
let string_of_chars chars = chars |> List.to_seq |> String.of_seq
let chars_of_string string = string |> String.to_seq |> List.of_seq
let satisfy predicate = function
| h :: tl when predicate h -> return h tl
| h :: tl -> fail (SyntaxError (string_of_chars (h :: tl))) tl
| [] -> fail UnexpectedEnd []
;;
let char c = satisfy (( = ) c)
let ( <*> ) parser_func parser chars =
match parser_func chars with
| ParseError _ as e -> e
| Parsed (f, tail) ->
(match parser tail with
| ParseError _ as e -> e
| Parsed (a, tl) -> return (f a) tl)
;;
let ( <|> ) left right chars =
match left chars with
| ParseError _ -> right chars
| Parsed _ as res -> res
;;
let ( >>| ) parser transform chars =
match parser chars with
| ParseError _ as e -> e
| Parsed (x, tl) -> return (transform x) tl
;;
let choice parsers = List.fold_left ( <|> ) (fail UnexpectedEnd) parsers
let ( *> ) left right = left >>= fun _ -> right
let ( <* ) left right = left >>= fun a -> right >>= fun _ -> return a
let rec zero_many parser chars =
match parser chars with
| ParseError _ -> return [] chars
| Parsed (a, rest) ->
(let* a_tail = zero_many parser in
return (a :: a_tail))
rest
;;
let one_many parser =
let* x = parser in
let* xs = zero_many parser in
return (x :: xs)
;;
let capital_alpha =
satisfy (function
| 'A' .. 'Z' -> true
| _ -> false)
;;
let alpha =
satisfy (function
| 'a' .. 'z' -> true
| 'A' .. 'Z' -> true
| _ -> false)
;;
let digit =
satisfy (function
| '0' .. '9' -> true
| _ -> false)
;;
let chars string =
match chars_of_string string with
| [] -> fail UnexpectedEnd
| c :: rest -> List.fold_left ( *> ) (char c) (List.map char rest)
;;
let reserved = function
| "let" -> true
| "rec" -> true
| "in" -> true
| "if" -> true
| "then" -> true
| "else" -> true
| "fun" -> true
| "false" -> true
| "true" -> true
| "mod" -> true
| "exception" -> true
| "try" -> true
| "with" -> true
| "raise" -> true
| _ -> false
;;
let ws0 = zero_many (char ' ' <|> char '\t' <|> char '\n')
let ws1 = one_many (char ' ' <|> char '\t' <|> char '\n')
let parens parser = ws0 *> char '(' *> parser <* ws0 <* char ')'
let identifier =
let wildcard =
let* _ = char '_' in
return Ast.Wildcard
in
let real =
let* x = alpha in
let* xs = zero_many (alpha <|> digit <|> char '_') in
let name = string_of_chars (x :: xs) in
if reserved name then fail (SyntaxError name) else return (Ast.Real name)
in
wildcard <|> real
;;
let exception_identifier =
let* x = capital_alpha in
let* xs = zero_many (alpha <|> digit <|> char '_') in
let name = string_of_chars (x :: xs) in
if reserved name then fail (SyntaxError name) else return name
;;
let term =
let integer =
let* chars = one_many digit in
return (Ast.Int (int_of_string (string_of_chars chars)))
in
let boolean =
let parser_true = chars "true" >>| fun _ -> Ast.Bool true in
let parser_false = chars "false" >>| fun _ -> Ast.Bool false in
parser_true <|> parser_false
in
let variable =
let* name = identifier in
return (Ast.Var name)
in
let unit =
let* _ = chars "()" in
return Ast.Unit
in
integer <|> boolean <|> variable <|> unit
;;
let arguments parser = one_many (ws1 *> parser)
let apply_precedence parser operators =
let length = Array.length operators in
let rec helper level =
if level >= length
then parser
else (
let xs = operators.(level) in
return (List.fold_left (fun acc (op, r) -> op acc r))
<*> helper (level + 1)
<*> zero_many
(choice
(List.map
(fun (sign, left) ->
let* right = ws0 *> sign *> ws0 *> helper (level + 1) in
return (left, right))
xs)))
in
helper 0
;;
let atom =
let binary typ left right = Ast.BinaryOp (typ, left, right) in
let unary operation typ parser =
let* _ = chars operation in
let* expr = parser in
return (Ast.UnaryOp (typ, expr))
in
let neg = unary "-" Ast.Neg in
let not = unary "!" Ast.Not in
let tuple parser =
let* _ = char '(' in
let* fst = parser in
let* rest = one_many (ws0 *> char ',' *> ws0 *> parser) in
let* _ = char ')' in
return (Ast.Tuple (fst, List.hd rest, List.tl rest))
in
let application parser1 parser2 =
let* _ = char '(' in
let* name = parser1 in
let* args = arguments parser2 in
let* _ = char ')' in
return (List.fold_left (fun left right -> Ast.Application (left, right)) name args)
in
let abstraction parser =
let* _ = chars "fun" in
let* args = arguments identifier in
let* _ = ws0 *> chars "->" in
let* expr = ws0 *> parser in
return (List.fold_right (fun left right -> Ast.Abstraction (left, right)) args expr)
in
let if_expr parser1 parser2 =
let* _ = chars "if" in
let* cond = ws1 *> parser1 in
let* _ = ws1 *> chars "then" in
let* on_true = ws1 *> parser2 in
let* _ = ws1 *> chars "else" in
let* on_false = ws1 *> parser2 in
return (Ast.IfThenElse (cond, on_true, on_false))
in
let letrec mnemo rec_flag parser1 parser2 =
let* _ = chars mnemo in
let* name = ws1 *> identifier in
let* _ = ws0 *> char '=' in
let* expr1 = ws0 *> parser1 in
let* _ = ws1 *> chars "in" in
let* expr2 = ws1 *> parser2 in
return (Ast.LetExpr (rec_flag, name, expr1, expr2))
in
let let_expr = letrec "let" Ast.Let in
let let_rec_expr = letrec "let rec" Ast.LetRec in
let let_exception parser =
let* _ = ws0 *> chars "let exception" in
let* name = ws1 *> exception_identifier in
let* _ = ws1 *> chars "in" in
let* expr = ws1 *> parser in
return (Ast.Exception (name, expr))
in
let raise_expr parser =
let* _ = chars "raise" in
let* expr = ws1 *> parser in
return (Ast.Raise expr)
in
let trywith_expr parser1 parser2 =
let* _ = chars "try" in
let* expr1 = ws1 *> parser1 in
let* _ = ws1 *> chars "with" in
let* name = ws1 *> exception_identifier in
let* _ = ws0 *> chars "->" in
let* expr2 = ws0 *> parser2 in
return (Ast.TryWith (expr1, name, expr2))
in
fix (fun atom ->
let atom_fix =
fix (fun inner ->
term
<|> choice [ neg inner; not inner ]
<|> application atom inner
<|> abstraction inner
<|> tuple inner
<|> if_expr atom inner
<|> let_expr atom inner
<|> let_rec_expr atom inner
<|> let_exception inner
<|> raise_expr inner
<|> trywith_expr atom inner
<|> parens atom)
in
apply_precedence
atom_fix
[| [ chars "&&", binary Ast.And ]
; [ chars "||", binary Ast.Or ]
; [ char '=', binary Ast.Equal
; chars "<>", binary Ast.NotEqual
; char '<', binary Ast.Less
; chars "<=", binary Ast.LessEqual
; char '>', binary Ast.Greater
; chars ">=", binary Ast.GreaterEqual
]
; [ char '+', binary Ast.Add; char '-', binary Ast.Sub ]
; [ chars "mod", binary Ast.Mod
; char '*', binary Ast.Mul
; char '/', binary Ast.Div
]
; [ (chars "@@", fun left right -> Ast.Application (left, right)) ]
|])
;;
let wrap_result = function
| Parsed (a, rest) when rest = [] -> Parsed (a, rest)
| Parsed (_, rest) -> ParseError (UnexpectedRest (string_of_chars rest))
| ParseError _ as e -> e
;;
let parse_line line =
let expr = ws0 *> atom <* ws0 in
chars_of_string line |> expr |> wrap_result
;;
let show_error = function
| UnexpectedEnd -> "Unexpected end of input"
| UnexpectedRest s -> Format.sprintf {|Unparsed symbols: %S|} s
| SyntaxError s -> Format.sprintf {|Syntax error: %S|} s
;;
let show_result = function
| Parsed (ast, _) -> Ast.show_ast ast
| ParseError e -> show_error e
;;