Numeric.Algebra.Incidence

Documentation

data Interval a

Constructors

Interval a a

Instances

(Commutative r, Monoidal r, Semiring r, LocallyFiniteOrder a) => Algebra r (Interval a)

Methods

mult :: (Interval a -> Interval a -> r) -> Interval a -> r

(Commutative r, Monoidal r, Semiring r, LocallyFiniteOrder a) => UnitalAlgebra r (Interval a)

Methods

unit :: r -> Interval a -> r

Eq a => Eq (Interval a)

Methods

(==) :: Interval a -> Interval a -> Bool

(/=) :: Interval a -> Interval a -> Bool

Data a => Data (Interval a)

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Interval a -> c (Interval a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Interval a)

toConstr :: Interval a -> Constr

dataTypeOf :: Interval a -> DataType

dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c (Interval a))

dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Interval a))

gmapT :: (forall b. Data b => b -> b) -> Interval a -> Interval a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Interval a -> r

gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Interval a -> r

gmapQ :: (forall d. Data d => d -> u) -> Interval a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Interval a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Interval a -> m (Interval a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Interval a -> m (Interval a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Interval a -> m (Interval a)

Ord a => Ord (Interval a)

Methods

compare :: Interval a -> Interval a -> Ordering

(<) :: Interval a -> Interval a -> Bool

(<=) :: Interval a -> Interval a -> Bool

(>) :: Interval a -> Interval a -> Bool

(>=) :: Interval a -> Interval a -> Bool

max :: Interval a -> Interval a -> Interval a

min :: Interval a -> Interval a -> Interval a

Read a => Read (Interval a)

Methods

readsPrec :: Int -> ReadS (Interval a)

readList :: ReadS [Interval a]

readPrec :: ReadPrec (Interval a)

readListPrec :: ReadPrec [Interval a]

Show a => Show (Interval a)

Methods

showsPrec :: Int -> Interval a -> ShowS

show :: Interval a -> String

showList :: [Interval a] -> ShowS

zeta :: Unital r => Interval a -> r

moebius :: (Ring r, LocallyFiniteOrder a) => Interval a -> r