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'z' | 'A' .. 'Z' -> true | _ -> false let is_num : char -> bool = function | '0' .. '9' -> true | _ -> false (* Low-Level Helpers *) let is_sub_string : string -> int -> int -> int -> string -> int * int * int = fun small_string offset row col big_string -> let small_length = String.length small_string in let (offset', row', col') = (ref offset, ref row, ref col) in let is_good = ref (offset + small_length <= String.length big_string) in let i = ref 0 in while (!is_good && !i < small_length) do let big_letter = String.get big_string !offset' in is_good := String.get small_string !i = big_letter; i := !i + 1; offset' := !offset' + 1; begin if big_letter = '\n' then begin row' := !row' + 1; col' := 1 end else begin col' := !col' + 1 end end done; ( (if !is_good then !offset' else -1) , !row' , !col' ) let is_sub_char : (char -> bool) -> int -> string -> int = fun predicate offset string -> if String.length string <= offset then -1 else if predicate (String.get string offset) then if String.get string offset = '\n' then -2 else offset + 1 else -1 let find_sub_string : string -> int -> int -> int -> string -> int * int * int = fun small_string offset row col big_string -> let small_re = Str.regexp_string small_string in let new_offset = try Str.search_forward small_re big_string offset with Not_found -> -1 in let target = if new_offset < 0 then String.length big_string else new_offset + String.length small_string in let (offset', row', col') = (ref offset, ref row, ref col) in while (!offset' < target) do offset' := !offset' + 1; begin if String.get big_string !offset' = '\n' then begin row' := !row' + 1; col' := 1 end else begin col' := !col' + 1 end end done; ( new_offset , !row' , !col' ) (* Parsers *) type 'context located = { row : int ; col : int ; context : 'context } type 'context state = { src : string ; offset : int ; indent : int ; context : 'context located list ; row : int ; col :int } type ('context, 'problem) dead_end = { row : int ; col : int ; problem : 'problem ; context_stack : 'context located list } type ('c, 'x) bag = | Empty | AddRight of ('c, 'x) bag * ('c, 'x) dead_end | Append of ('c, 'x) bag * ('c, 'x) bag type ('context, 'problem, 'value) pstep = | Good of bool * 'value * 'context state | Bad of bool * ('context, 'problem) bag type ('context, 'problem, 'value) parser = 'context state -> ('context, 'problem, 'value) pstep (* Problems *) let from_state : 'c state -> 'x -> ('c, 'x) bag = fun s x -> AddRight ( Empty , { row = s.row ; col = s.col ; problem = x ; context_stack = s.context } ) let from_info : int -> int -> 'x -> 'c located list -> ('c, 'x) bag = fun row col x context -> AddRight ( Empty , { row = row ; col = col ; problem = x ; context_stack = context } ) let rec bag_to_list : ('c, 'x) bag -> ('c, 'x) dead_end list -> ('c, 'x) dead_end list = fun bag ls -> match bag with | Empty -> ls | AddRight (bag1, x) -> bag_to_list bag1 (x :: ls) | Append (bag1, bag2) -> bag_to_list bag1 (bag_to_list bag2 ls) (* Run *) let run : ('c, 'x, 'a) parser -> string -> ('a, ('c, 'x) dead_end list) result = fun parse src -> match parse { src = src ; offset = 0 ; indent = 1 ; context = [] ; row = 1 ; col = 1 } with | Good (_, value, _) -> Ok value | Bad (_, bag) -> Error (bag_to_list bag []) (* Primitives *) let succeed : 'a -> ('c, 'x, 'a) parser = fun a -> fun s -> Good (false, a, s) let problem : 'x -> ('c, 'x, 'a) parser = fun x -> fun s -> Bad (false, from_state s x) (* Mapping *) let map : ('a -> 'b) -> ('c, 'x, 'a) parser -> ('c, 'x, 'b) parser = fun func parse -> fun s0 -> match parse s0 with | Good (p, a, s1) -> Good (p, func a, s1) | Bad (p, x) -> Bad (p, x) let map2 : ('a -> 'b -> 'value) -> ('c, 'x, 'a) parser -> ('c, 'x, 'b) parser -> ('c, 'x, 'value) parser = fun func parse_a parse_b -> fun s0 -> match parse_a s0 with | Bad (p, x) -> Bad (p, x) | Good (p1, a, s1) -> begin match parse_b s1 with | Bad (p2, x) -> Bad (p1 || p2, x) | Good (p2, b, s2) -> Good (p1 || p2, func a b, s2) end let keeper : ('c, 'x, 'a -> 'b) parser -> ('c, 'x, 'a) parser -> ('c, 'x, 'b) parser = fun parse_func parse_arg -> map2 (@@) parse_func parse_arg let ignorer : ('c, 'x, 'keep) parser -> ('c, 'x, 'ignore) parser -> ('c, 'x, 'keep) parser = fun keep_parser ignore_parser -> map2 (fun k _ -> k) keep_parser ignore_parser (* And Then *) let and_then : ('a -> ('c, 'x, 'b) parser) -> ('c, 'x, 'a) parser -> ('c, 'x, 'b) parser = fun callback parse_a -> fun s0 -> match parse_a s0 with | Bad (p, x) -> Bad (p, x) | Good (p1, a, s1) -> let parse_b = callback a in begin match parse_b s1 with | Bad (p2, x) -> Bad (p1 || p2, x) | Good (p2, b, s2) -> Good (p1 || p2, b, s2) end (* Lazily *) let lazily : (unit -> ('c, 'x, 'a) parser) -> ('c, 'x, 'a) parser = fun thunk -> fun s -> let parse = thunk () in parse s (* One Of *) let rec one_of_help : 'c state -> ('c, 'x) bag -> ('c, 'x, 'a) parser list -> ('c, 'x, 'a) pstep = fun s0 bag parsers -> match parsers with | [] -> Bad (false, bag) | parse :: remaining_parsers -> begin match parse s0 with | Good (_, _, _) as step -> step | Bad (p, x) as step -> if p then step else one_of_help s0 (Append (bag, x)) remaining_parsers end let one_of : ('c, 'x, 'a) parser list -> ('c, 'x, 'a) parser = fun parsers -> fun s -> one_of_help s Empty parsers (* Loop *) type ('state, 'a) step = | Loop of 'state | Done of 'a let rec loop_help : bool -> 'state -> ('state -> ('c, 'x, ('state, 'a) step) parser) -> 'c state -> ('c, 'x, 'a) pstep = fun p state callback s0 -> let parse = callback state in match parse s0 with | Good (p1, step, s1) -> begin match step with | Loop new_state -> loop_help (p || p1) new_state callback s1 | Done result -> Good (p || p1, result, s1) end | Bad (p1, x) -> Bad (p || p1, x) let loop : 'state -> ('state -> ('c, 'x, ('state, 'a) step) parser) -> ('c, 'x, 'a) parser = fun state callback -> fun s -> loop_help false state callback s (* Backtrackable *) let backtrackable : ('c, 'x, 'a) parser -> ('c, 'x, 'a) parser = fun parse -> fun s0 -> match parse s0 with | Bad (_, x) -> Bad (false, x) | Good (_, a, s1) -> Good (false, a, s1) let commit : 'a -> ('c, 'x, 'a) parser = fun a -> fun s -> Good (true, a, s) (* Token *) type 'x token = | Token of string * 'x let token : 'x token -> ('c, 'x, unit) parser = fun (Token (str, expecting)) -> let progress = str <> "" in fun s -> let (new_offset, new_row, new_col) = is_sub_string str s.offset s.row s.col s.src in if new_offset = -1 then Bad (false, from_state s expecting) else Good ( progress , () , { src = s.src ; offset = new_offset ; indent = s.indent ; context = s.context ; row = new_row ; col = new_col } ) (* Symbol *) let symbol : 'x token -> ('c, 'x, unit) parser = token (* Keyword *) let keyword : 'x token -> ('c, 'x, unit) parser = fun (Token (kwd, expecting)) -> let progress = kwd <> "" in fun s -> let (new_offset, new_row, new_col) = is_sub_string kwd s.offset s.row s.col s.src in if new_offset = -1 || 0 <= is_sub_char (fun c -> is_alpha c || is_num c || c = '_') new_offset s.src then Bad (false, from_state s expecting) else Good ( progress , () , { src = s.src ; offset = new_offset ; indent = s.indent ; context = s.context ; row = new_row ; col = new_col } ) (* End *) let endd : 'x -> ('c, 'x, unit) parser = fun x -> fun s -> if String.length s.src = s.offset then Good (false, (), s) else Bad (false, from_state s x) (* Chomped Strings *) let map_chomped_string : (string -> 'a -> 'b) -> ('c, 'x, 'a) parser -> ('c, 'x, 'b) parser = fun func parse -> fun s0 -> match parse s0 with | Bad (p, x) -> Bad (p, x) | Good (p, a, s1) -> Good (p, func (slice s0.offset s1.offset s0.src) a, s1) let get_chomped_string : ('c, 'x, 'a) parser -> ('c, 'x, string) parser = fun parse -> map_chomped_string (fun s _ -> s) parse (* Chomp If *) let chomp_if : (char -> bool) -> 'x -> ('c, 'x, unit) parser = fun is_good expecting -> fun s -> let new_offset = is_sub_char is_good s.offset s.src in if new_offset = -1 then Bad (false, from_state s expecting) else if new_offset = -2 then Good ( true , () , { src = s.src ; offset = s.offset + 1 ; indent = s.indent ; context = s.context ; row = s.row + 1 ; col = 1 } ) else Good ( true , () , { src = s.src ; offset = new_offset ; indent = s.indent ; context = s.context ; row = s.row ; col = s.col + 1 } ) (* Chomp While *) let rec chomp_while_help : (char -> bool) -> int -> int -> int -> 'c state -> ('c, 'x, unit) pstep = fun is_good offset row col s0 -> let new_offset = is_sub_char is_good offset s0.src in if new_offset = -1 then Good ( s0.offset < offset , () , { src = s0.src ; offset = offset ; indent = s0.indent ; context = s0.context ; row = row ; col = col } ) else if new_offset = -2 then chomp_while_help is_good (offset + 1) (row + 1) 1 s0 else chomp_while_help is_good new_offset row (col + 1) s0 let chomp_while : (char -> bool) -> ('c, 'x, unit) parser = fun is_good -> fun s -> chomp_while_help is_good s.offset s.row s.col s (* Chomp Until *) let chomp_until : 'x token -> ('c, 'x, unit) parser = fun (Token (str, expecting)) -> fun s -> let (new_offset, new_row, new_col) = find_sub_string str s.offset s.row s.col s.src in if new_offset = -1 then Bad (false, from_info new_row new_col expecting s.context) else Good ( s.offset < new_offset , () , { src = s.src ; offset = new_offset ; indent = s.indent ; context = s.context ; row = new_row ; col = new_col } ) let chomp_until_end_or : string -> ('c, 'x, unit) parser = fun str -> fun s -> let (new_offset, new_row, new_col) = find_sub_string str s.offset s.row s.col s.src in let adjusted_offset = if new_offset < 0 then String.length s.src else new_offset in Good ( s.offset < adjusted_offset , () , { src = s.src ; offset = adjusted_offset ; indent = s.indent ; context = s.context ; row = new_row ; col = new_col } ) (* Context *) let change_context : 'c located list -> 'c state -> 'c state = fun new_context s -> { src = s.src ; offset = s.offset ; indent = s.indent ; context = new_context ; row = s.row ; col = s.col } let in_context : 'context -> ('context, 'x, 'a) parser -> ('context, 'x, 'a) parser = fun context parse -> fun s0 -> match parse @@ change_context ( { row = s0.row ; col = s0.col ; context = context } :: s0.context ) s0 with | Good (p, a, s1) -> Good (p, a, change_context s0.context s1) | Bad (_, _) as step -> step (* Indentation *) let get_indent : ('c, 'x, int) parser = fun s -> Good (false, s.indent, s) let change_indent : int -> 'c state -> 'c state = fun new_indent s -> { src = s.src ; offset = s.offset ; indent = new_indent ; context = s.context ; row = s.row ; col = s.col } let with_indent : int -> ('c, 'x, 'a) parser -> ('c, 'x, 'a) parser = fun new_indent parse -> fun s0 -> match parse (change_indent new_indent s0) with | Good (p, a, s1) -> Good (p, a, change_indent s0.indent s1) | Bad (p, x) -> Bad (p, x) (* Position *) let get_position : ('c, 'x, int * int) parser = fun s -> Good (false, (s.row, s.col), s) let get_row : ('c, 'x, int) parser = fun s -> Good (false, s.row, s) let get_col : ('c, 'x, int) parser = fun s -> Good (false, s.col, s) let get_offset : ('c, 'x, int) parser = fun s -> Good (false, s.offset, s) let get_source : ('c, 'x, string) parser = fun s -> Good (false, s.src, s) (* Variables *) let rec var_help : (char -> bool) -> int -> int -> int -> string -> int -> 'c located list -> 'c state = fun is_good offset row col src indent context -> let new_offset = is_sub_char is_good offset src in if new_offset = -1 then { src = src ; offset = offset ; indent = indent ; context = context ; row = row ; col = col } else if new_offset = -2 then var_help is_good (offset + 1) (row + 1) 1 src indent context else var_help is_good new_offset row (col + 1) src indent context module String_set = Set.Make(String) let variable ~start ~inner ~reserved ~expecting = fun s -> let first_offset = is_sub_char start s.offset s.src in if first_offset = -1 then Bad (false, from_state s expecting) else let s1 = if first_offset = -2 then var_help inner (s.offset + 1) (s.row + 1) 1 s.src s.indent s.context else var_help inner first_offset s.row (s.col + 1) s.src s.indent s.context in let name = slice s.offset s1.offset s.src in if String_set.mem name reserved then Bad (false, from_state s expecting) else Good (true, name, s1) (* Sequences *) let skip : ('c, 'x, 'ignore) parser -> ('c, 'x, 'keep) parser -> ('c, 'x, 'keep) parser = fun ignore_parser keep_parser -> map2 (fun _ k -> k) ignore_parser keep_parser type trailing = | Forbidden | Optional | Mandatory let sequence_end_forbidden : ('c, 'x, unit) parser -> ('c, 'x, unit) parser -> ('c, 'x, 'a) parser -> ('c, 'x, unit) parser -> 'a list -> ('c, 'x, ('a list, 'a list) step) parser = fun ender ws parse_item sep rev_items -> skip ws @@ one_of [ skip sep @@ skip ws @@ map (fun item -> Loop (item :: rev_items)) parse_item ; ender |> map (fun _ -> Done (List.rev rev_items)) ] let sequence_end_optional : ('c, 'x, unit) parser -> ('c, 'x, unit) parser -> ('c, 'x, 'a) parser -> ('c, 'x, unit) parser -> 'a list -> ('c, 'x, ('a list, 'a list) step) parser = fun ender ws parse_item sep rev_items -> let parse_end = map (fun _ -> Done (List.rev rev_items)) ender in skip ws @@ one_of [ skip sep @@ skip ws @@ one_of [ parse_item |> map (fun item -> Loop (item :: rev_items)) ; parse_end ] ; parse_end ] let sequence_end_mandatory : ('c, 'x, unit) parser -> ('c, 'x, 'a) parser -> ('c, 'x, unit) parser -> 'a list -> ('c, 'x, ('a list, 'a list) step) parser = fun ws parse_item sep rev_items -> one_of [ map (fun item -> Loop (item :: rev_items)) @@ ignorer parse_item (ignorer ws (ignorer sep ws)) ; map (fun _ -> Done (List.rev rev_items)) (succeed ()) ] let sequence_end : ('c, 'x, unit) parser -> ('c, 'x, unit) parser -> ('c, 'x, 'a) parser -> ('c, 'x, unit) parser -> trailing -> ('c, 'x, 'a list) parser = fun ender ws parse_item sep trailing -> let chomp_rest item = match trailing with | Forbidden -> loop [item] (sequence_end_forbidden ender ws parse_item sep) | Optional -> loop [item] (sequence_end_optional ender ws parse_item sep) | Mandatory -> ignorer ( skip ws @@ skip sep @@ skip ws @@ loop [item] (sequence_end_mandatory ws parse_item sep) ) ender in one_of [ parse_item |> and_then chomp_rest ; ender |> map (fun _ -> []) ] let sequence ~start ~separator ~endd ~spaces ~item ~trailing = skip (token start) @@ skip spaces @@ sequence_end (token endd) spaces item (token separator) trailing (* Whitespace *) let spaces : ('c, 'x, unit) parser = fun s -> chomp_while (fun c -> c = ' ' || c = '\n' || c = '\r') s let line_comment : 'x token -> ('c, 'x, unit) parser = fun start -> ignorer (token start) (chomp_until_end_or "\n") let rec nestable_help : (char -> bool) -> ('c, 'x, unit) parser -> ('c, 'x, unit) parser -> 'x -> int -> ('c, 'x, unit) parser = fun is_not_relevant openn close expecting_close nest_level -> skip (chomp_while is_not_relevant) @@ one_of [ if nest_level = 1 then close else close |> and_then ( fun _ -> nestable_help is_not_relevant openn close expecting_close (nest_level - 1) ) ; openn |> and_then ( fun _ -> nestable_help is_not_relevant openn close expecting_close (nest_level + 1) ) ; chomp_if (fun _ -> true) expecting_close |> and_then ( fun _ -> nestable_help is_not_relevant openn close expecting_close nest_level ) ] let nestable_comment : 'x token -> 'x token -> ('c, 'x, unit) parser = fun (Token (o_str, o_x) as openn) (Token (c_str, c_x) as close) -> match uncons o_str with | None -> problem o_x | Some (open_char, _) -> begin match uncons c_str with | None -> problem c_x | Some (close_char, _) -> let is_not_relevant c = c <> open_char && c <> close_char in let chomp_open = token openn in ignorer chomp_open (nestable_help is_not_relevant chomp_open (token close) c_x 1) end type nestable = | NotNestable | Nestable let multi_comment : 'x token -> 'x token -> nestable -> ('c, 'x, unit) parser = fun openn close nestable -> match nestable with | NotNestable -> ignorer (token openn) (chomp_until close) | Nestable -> nestable_comment openn close (* Syntax *) module Syntax = struct let ( let+ ) p f = map f p let ( and+ ) pa pb = map2 (fun x y -> (x, y)) pa pb let ( and* ) pa pb = ( and+ ) pa pb let ( let* ) p f = p |> and_then f end let (|=) = keeper let (|.) = ignorer (* Int *) let int : 'x -> ('c, 'x, int) parser = fun expecting -> let open Syntax in let* s = get_chomped_string (chomp_while is_num) in if s = "" then problem expecting else succeed (int_of_string s) (* Float *) let float : 'x -> 'x -> ('c, 'x, float) parser = fun expecting invalid -> let open Syntax in let* s1 = get_chomped_string (chomp_while is_num) in if s1 = "" then problem expecting else let* _ = symbol (Token (".", invalid)) in let* s2 = get_chomped_string (chomp_while is_num) in if s2 = "" then problem invalid else succeed (float_of_string @@ s1 ^ "." ^ s2)