module Parser

import Prelude
import Aoc

Parser : U → U
Parser a = List Char → Either String (a × List Char)

instance Monad Parser where
  pure a = \ cs => Right (a, cs)
  bind ma mab = \ cs => ma cs >>= uncurry mab

instance Alternative Parser where
  pa <|> pb = \ cs => case pa cs of
    Left msg => pb cs
    res => res

instance Functor Parser where
  map f pa = \ cs => case pa cs of
    Left msg => Left msg
    Right (a, cs) => Right (f a, cs)

instance Applicative Parser where
  return a = pure a
  pa <*> pb = pa >>= (\ f => map f pb)


fail : ∀ a. String -> Parser a
fail msg = \ cs => Left msg

-- TODO, case builder isn't expanding Parser Unit to count lambdas
eof : Parser Unit
eof = \ cs => case cs of
  Nil => Right (MkUnit, Nil)
  _ =>  Left "expected eof"

satisfy : (Char → Bool) → Parser Char
satisfy pred = λ cs => case cs of
  Nil => Left "unexpected EOF"
  (c :: cs) => if pred c then Right (c, cs) else Left ("did not expect " ++ show c)

match : Char → Parser Char
match d = satisfy (_==_ d)

any : Parser Char
any = satisfy (λ _ => True)

some many : ∀ a. Parser a → Parser (List a)
many p = some p <|> pure Nil
some p = do
  v <- p
  vs <- many p
  pure (v :: vs)

string : String → Parser Unit
string str = go (unpack str)
  where
    go : List Char → Parser Unit
    go Nil = pure MkUnit
    go (c :: cs) = match c >> go cs

number : Parser Int
number = stringToInt ∘ pack <$> some (satisfy isDigit)
  -- do
  -- digs <- some (satisfy isDigit)
  -- pure $ stringToInt $ pack digs

ws : Parser Unit
ws = many (match ' ') >> pure MkUnit