(* Common util. Should probably put this in a module or something.. *)
let get_one_line file =
  try Some (input_line file) with
    End_of_file -> None

let get_lines file =
  let rec input lines =
    match get_one_line file with
      Some line -> input (line :: lines)
    | None -> List.rev lines
  in input []

let read_file file =
  let channel = open_in(file) in
  get_lines channel

let explode s = (* convert a string to a list of chars *)
  let rec exp i l =
   if i < 0 then l else exp (i - 1) (s.[i] :: l) in
  exp (String.length s - 1) [];;

let implode l = String.of_seq (List.to_seq l)

let (<<) f g x = f(g(x))
let (>>) f g x = g(f(x))

let rec find_idx x = function (* find index of x *)
  | [] -> raise (Failure "Not Found")
  | h :: t -> if x = h then 0 else 1 + find_idx x t

let abs x = if x < 0 then -x else x

(* --- *)

type instruction = { action: char; value: int }

let dirs = [('N', (0, 1)); ('E', (1, 0)); ('S', (0, -1)); ('W', (-1, 0))]
let dir_list = ['N'; 'E'; 'S'; 'W']

let parse_line = (* from string to instruction *)
  explode >> function | action :: value -> { action; value = int_of_string @@ implode value }

let rec turn direction (wx, wy) = function (* returns new waypoint location *)
  | 0 -> (wx, wy) (* doing this 90 degrees at a time *)
  | degrees ->
      let new_position = match direction with
        | 'L' -> (-1 * wy, wx)
        | 'R' -> (wy, -1 * wx)
      in turn direction new_position (degrees - 90)

let move { action; value } (x, y) (wx, wy) = (* returns (new ship location, new waypoint location) *)
  Printf.printf "@ (%i, %i). moving %c %i\n" x y action value;
  match action with
    | 'L' -> ((x, y), turn 'L' (wx, wy) value)
    | 'R' -> ((x, y), turn 'R' (wx, wy) value)
    | 'F' -> ((x + (wx * value), y + (wy * value)), (wx, wy))
    | dir -> (* Either N, E, S, or W. Find the (dx, dy) and apply it *)
        let (dx, dy) = List.assoc dir dirs in
        ((x, y), (wx + (dx * value), wy + (dy * value)))

let rec travel (x, y) (wx, wy) map =
  match map with
  | [] -> (x, y)
  | line :: rest ->
      let (new_position, waypoint_position) = move line (x, y) (wx, wy) in
      travel new_position waypoint_position rest

let manhattan (x, y) = (abs x) + abs y

let () =
  let map = read_file "day12.txt" |> List.map parse_line in

  let (x, y) = map |> travel (0, 0) (10, 1) in
  Printf.printf "ending location (%i, %i). manhattan distance: %i\n" x y (manhattan (x, y));