cga/Parser.hs

92 lines
2.6 KiB
Haskell

module Parser (Parser,
runParser,
satisfy,
char,
posInt,
posDouble,
oneOrMore,
zeroOrMore,
spaces) where
import Control.Applicative
import Data.Char
-- |The parser type. It allows us to create specific parsers,
-- combine them and run them via 'runParser' to get a result.
newtype Parser a = MkParser { runParser :: String -> Maybe (a, String) }
-- |Functor instance.
instance Functor Parser where
fmap f p = (inParser . fmap . fmap . first $ f) p
-- |Applicative functor instance.
instance Applicative Parser where
pure a = MkParser (\s -> Just (a, s))
(MkParser fp) <*> xp = MkParser $ \s ->
case fp s of
Nothing -> Nothing
Just (f,x) -> runParser (f <$> xp) x
-- |Alternative functor instance.
instance Alternative Parser where
empty = MkParser (const Nothing)
MkParser p1 <|> MkParser p2 = MkParser $ liftA2 (<|>) p1 p2
inParser :: ((String -> Maybe (a1, String))
-> String
-> Maybe (a, String))
-> Parser a1
-> Parser a
inParser f p = MkParser . f . runParser $ p
first :: (a -> b) -> (a,c) -> (b,c)
first f (x,y) = (f x, y)
-- |Creates a Parser that parses a Char depending on a given condition.
satisfy :: (Char -> Bool) -- ^ condition
-> Parser Char -- ^ created Parser
satisfy p = MkParser f
where
f [] = Nothing
f (x:xs)
| p x = Just (x, xs)
| otherwise = Nothing
-- |Creates a Parser that accepts a given Char.
char :: Char -> Parser Char
char c = satisfy (== c)
-- |Creates a Parser that accepts positive integers.
posInt :: Parser Integer
posInt = MkParser f
where
f xs
| null ns = Nothing
| otherwise = Just (read ns, rest)
where (ns, rest) = span isDigit xs
-- |Creates a Parser that accepts positive integers.
posDouble :: Parser Double
posDouble = read <$>
liftA3 (\x y z -> x ++ [y] ++ z)
(MkParser f)
(char '.')
(MkParser f)
where
f xs
| null ns = Nothing
| otherwise = Just (ns, rest)
where (ns, rest) = span isDigit xs
-- |Convert a given Parser to a Parser that accepts zero or more occurences.
zeroOrMore :: Parser a -> Parser [a]
zeroOrMore p = oneOrMore p <|> pure []
-- |Convert a given Parser to a Parser that accepts one or more occurences.
oneOrMore :: Parser a -> Parser [a]
oneOrMore p = (:) <$> p <*> zeroOrMore p
-- |Creates a Parser that accepts spaces.
spaces :: Parser String
spaces = zeroOrMore (satisfy isSpace)