Safe Haskell	None
Language	Haskell2010

Data.UnBounded

Synopsis

data Top a
topToMaybe :: Top a -> Maybe a
pattern ValT :: a -> Top a
pattern Top :: Top a
data Bottom a
bottomToMaybe :: Bottom a -> Maybe a
pattern Bottom :: Bottom a
pattern ValB :: a -> Bottom a
data UnBounded a
- = MinInfinity
- | Val {
  - _unUnBounded :: a
  }
- | MaxInfinity
unUnBounded :: forall a a. Traversal (UnBounded a) (UnBounded a) a a
unBoundedToMaybe :: UnBounded a -> Maybe a

Documentation

data Top a Source #

`Top a` represents the type a, together with a Top element, i.e. an element that is greater than any other element. We can think of `Top a` being defined as:

>>> data Top a = ValT a | Top

Instances

Monad Top Source #
Instance details Defined in Data.UnBounded Methods (>>=) :: Top a -> (a -> Top b) -> Top b # (>>) :: Top a -> Top b -> Top b # return :: a -> Top a # fail :: String -> Top a #
Functor Top Source #
Instance details Defined in Data.UnBounded Methods fmap :: (a -> b) -> Top a -> Top b # (<$) :: a -> Top b -> Top a #
Applicative Top Source #
Instance details Defined in Data.UnBounded Methods pure :: a -> Top a # (<>) :: Top (a -> b) -> Top a -> Top b # liftA2 :: (a -> b -> c) -> Top a -> Top b -> Top c # (>) :: Top a -> Top b -> Top b # (<*) :: Top a -> Top b -> Top a #
Foldable Top Source #
Instance details Defined in Data.UnBounded Methods fold :: Monoid m => Top m -> m # foldMap :: Monoid m => (a -> m) -> Top a -> m # foldr :: (a -> b -> b) -> b -> Top a -> b # foldr' :: (a -> b -> b) -> b -> Top a -> b # foldl :: (b -> a -> b) -> b -> Top a -> b # foldl' :: (b -> a -> b) -> b -> Top a -> b # foldr1 :: (a -> a -> a) -> Top a -> a # foldl1 :: (a -> a -> a) -> Top a -> a # toList :: Top a -> [a] # null :: Top a -> Bool # length :: Top a -> Int # elem :: Eq a => a -> Top a -> Bool # maximum :: Ord a => Top a -> a # minimum :: Ord a => Top a -> a # sum :: Num a => Top a -> a # product :: Num a => Top a -> a #
Traversable Top Source #
Instance details Defined in Data.UnBounded Methods traverse :: Applicative f => (a -> f b) -> Top a -> f (Top b) # sequenceA :: Applicative f => Top (f a) -> f (Top a) # mapM :: Monad m => (a -> m b) -> Top a -> m (Top b) # sequence :: Monad m => Top (m a) -> m (Top a) #
Eq a => Eq (Top a) Source #
Instance details Defined in Data.UnBounded Methods (==) :: Top a -> Top a -> Bool # (/=) :: Top a -> Top a -> Bool #
Ord a => Ord (Top a) Source #
Instance details Defined in Data.UnBounded Methods compare :: Top a -> Top a -> Ordering # (<) :: Top a -> Top a -> Bool # (<=) :: Top a -> Top a -> Bool # (>) :: Top a -> Top a -> Bool # (>=) :: Top a -> Top a -> Bool # max :: Top a -> Top a -> Top a # min :: Top a -> Top a -> Top a #
Show a => Show (Top a) Source #
Instance details Defined in Data.UnBounded Methods showsPrec :: Int -> Top a -> ShowS # show :: Top a -> String # showList :: [Top a] -> ShowS #

topToMaybe :: Top a -> Maybe a Source #

pattern ValT :: a -> Top a Source #

pattern Top :: Top a Source #

data Bottom a Source #

`Bottom a` represents the type a, together with a Bottom element, i.e. an element that is smaller than any other element. We can think of `Bottom a` being defined as:

>>> data Bottom a = Bottom | ValB a

Instances

Monad Bottom Source #
Instance details Defined in Data.UnBounded Methods (>>=) :: Bottom a -> (a -> Bottom b) -> Bottom b # (>>) :: Bottom a -> Bottom b -> Bottom b # return :: a -> Bottom a # fail :: String -> Bottom a #
Functor Bottom Source #
Instance details Defined in Data.UnBounded Methods fmap :: (a -> b) -> Bottom a -> Bottom b # (<$) :: a -> Bottom b -> Bottom a #
Applicative Bottom Source #
Instance details Defined in Data.UnBounded Methods pure :: a -> Bottom a # (<>) :: Bottom (a -> b) -> Bottom a -> Bottom b # liftA2 :: (a -> b -> c) -> Bottom a -> Bottom b -> Bottom c # (>) :: Bottom a -> Bottom b -> Bottom b # (<*) :: Bottom a -> Bottom b -> Bottom a #
Foldable Bottom Source #
Instance details Defined in Data.UnBounded Methods fold :: Monoid m => Bottom m -> m # foldMap :: Monoid m => (a -> m) -> Bottom a -> m # foldr :: (a -> b -> b) -> b -> Bottom a -> b # foldr' :: (a -> b -> b) -> b -> Bottom a -> b # foldl :: (b -> a -> b) -> b -> Bottom a -> b # foldl' :: (b -> a -> b) -> b -> Bottom a -> b # foldr1 :: (a -> a -> a) -> Bottom a -> a # foldl1 :: (a -> a -> a) -> Bottom a -> a # toList :: Bottom a -> [a] # null :: Bottom a -> Bool # length :: Bottom a -> Int # elem :: Eq a => a -> Bottom a -> Bool # maximum :: Ord a => Bottom a -> a # minimum :: Ord a => Bottom a -> a # sum :: Num a => Bottom a -> a # product :: Num a => Bottom a -> a #
Traversable Bottom Source #
Instance details Defined in Data.UnBounded Methods traverse :: Applicative f => (a -> f b) -> Bottom a -> f (Bottom b) # sequenceA :: Applicative f => Bottom (f a) -> f (Bottom a) # mapM :: Monad m => (a -> m b) -> Bottom a -> m (Bottom b) # sequence :: Monad m => Bottom (m a) -> m (Bottom a) #
Eq a => Eq (Bottom a) Source #
Instance details Defined in Data.UnBounded Methods (==) :: Bottom a -> Bottom a -> Bool # (/=) :: Bottom a -> Bottom a -> Bool #
Ord a => Ord (Bottom a) Source #
Instance details Defined in Data.UnBounded Methods compare :: Bottom a -> Bottom a -> Ordering # (<) :: Bottom a -> Bottom a -> Bool # (<=) :: Bottom a -> Bottom a -> Bool # (>) :: Bottom a -> Bottom a -> Bool # (>=) :: Bottom a -> Bottom a -> Bool # max :: Bottom a -> Bottom a -> Bottom a # min :: Bottom a -> Bottom a -> Bottom a #
Show a => Show (Bottom a) Source #
Instance details Defined in Data.UnBounded Methods showsPrec :: Int -> Bottom a -> ShowS # show :: Bottom a -> String # showList :: [Bottom a] -> ShowS #

bottomToMaybe :: Bottom a -> Maybe a Source #

pattern Bottom :: Bottom a Source #

pattern ValB :: a -> Bottom a Source #

data UnBounded a Source #

`UnBounded a` represents the type a, together with an element MaxInfinity larger than any other element, and an element MinInfinity, smaller than any other element.

Constructors

MinInfinity
Val
Fields _unUnBounded :: a
MaxInfinity

Instances

Functor UnBounded Source #
Instance details Defined in Data.UnBounded Methods fmap :: (a -> b) -> UnBounded a -> UnBounded b # (<$) :: a -> UnBounded b -> UnBounded a #
Foldable UnBounded Source #
Instance details Defined in Data.UnBounded Methods fold :: Monoid m => UnBounded m -> m # foldMap :: Monoid m => (a -> m) -> UnBounded a -> m # foldr :: (a -> b -> b) -> b -> UnBounded a -> b # foldr' :: (a -> b -> b) -> b -> UnBounded a -> b # foldl :: (b -> a -> b) -> b -> UnBounded a -> b # foldl' :: (b -> a -> b) -> b -> UnBounded a -> b # foldr1 :: (a -> a -> a) -> UnBounded a -> a # foldl1 :: (a -> a -> a) -> UnBounded a -> a # toList :: UnBounded a -> [a] # null :: UnBounded a -> Bool # length :: UnBounded a -> Int # elem :: Eq a => a -> UnBounded a -> Bool # maximum :: Ord a => UnBounded a -> a # minimum :: Ord a => UnBounded a -> a # sum :: Num a => UnBounded a -> a # product :: Num a => UnBounded a -> a #
Traversable UnBounded Source #
Instance details Defined in Data.UnBounded Methods traverse :: Applicative f => (a -> f b) -> UnBounded a -> f (UnBounded b) # sequenceA :: Applicative f => UnBounded (f a) -> f (UnBounded a) # mapM :: Monad m => (a -> m b) -> UnBounded a -> m (UnBounded b) # sequence :: Monad m => UnBounded (m a) -> m (UnBounded a) #
Eq a => Eq (UnBounded a) Source #
Instance details Defined in Data.UnBounded Methods (==) :: UnBounded a -> UnBounded a -> Bool # (/=) :: UnBounded a -> UnBounded a -> Bool #
Fractional a => Fractional (UnBounded a) Source #
Instance details Defined in Data.UnBounded Methods (/) :: UnBounded a -> UnBounded a -> UnBounded a # recip :: UnBounded a -> UnBounded a # fromRational :: Rational -> UnBounded a #
Num a => Num (UnBounded a) Source #
Instance details Defined in Data.UnBounded Methods (+) :: UnBounded a -> UnBounded a -> UnBounded a # (-) :: UnBounded a -> UnBounded a -> UnBounded a # (*) :: UnBounded a -> UnBounded a -> UnBounded a # negate :: UnBounded a -> UnBounded a # abs :: UnBounded a -> UnBounded a # signum :: UnBounded a -> UnBounded a # fromInteger :: Integer -> UnBounded a #
Ord a => Ord (UnBounded a) Source #
Instance details Defined in Data.UnBounded Methods compare :: UnBounded a -> UnBounded a -> Ordering # (<) :: UnBounded a -> UnBounded a -> Bool # (<=) :: UnBounded a -> UnBounded a -> Bool # (>) :: UnBounded a -> UnBounded a -> Bool # (>=) :: UnBounded a -> UnBounded a -> Bool # max :: UnBounded a -> UnBounded a -> UnBounded a # min :: UnBounded a -> UnBounded a -> UnBounded a #
Show a => Show (UnBounded a) Source #
Instance details Defined in Data.UnBounded Methods showsPrec :: Int -> UnBounded a -> ShowS # show :: UnBounded a -> String # showList :: [UnBounded a] -> ShowS #

unUnBounded :: forall a a. Traversal (UnBounded a) (UnBounded a) a a Source #

unBoundedToMaybe :: UnBounded a -> Maybe a Source #