Numeric.Coalgebra.Categorical

Documentation

newtype Morphism a

Constructors

Morphism a

Instances

(Commutative r, Monoidal r, Semiring r, PartialSemigroup a) => Coalgebra r (Morphism a)

Methods

comult :: (Morphism a -> r) -> Morphism a -> Morphism a -> r

(Commutative r, Monoidal r, Semiring r, PartialMonoid a) => CounitalCoalgebra r (Morphism a)

Methods

counit :: (Morphism a -> r) -> r

Eq a => Eq (Morphism a)

Methods

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

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

Data a => Data (Morphism a)

Methods

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

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

toConstr :: Morphism a -> Constr

dataTypeOf :: Morphism a -> DataType

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

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

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

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

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

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

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

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

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

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

Ord a => Ord (Morphism a)

Methods

compare :: Morphism a -> Morphism a -> Ordering

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

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

(>) :: Morphism a -> Morphism a -> Bool

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

max :: Morphism a -> Morphism a -> Morphism a

min :: Morphism a -> Morphism a -> Morphism a

Read a => Read (Morphism a)

Methods

readsPrec :: Int -> ReadS (Morphism a)

readList :: ReadS [Morphism a]

readPrec :: ReadPrec (Morphism a)

readListPrec :: ReadPrec [Morphism a]

Show a => Show (Morphism a)

Methods

showsPrec :: Int -> Morphism a -> ShowS

show :: Morphism a -> String

showList :: [Morphism a] -> ShowS

PartialSemigroup a => PartialSemigroup (Morphism a)

Methods

padd :: Morphism a -> Morphism a -> Maybe (Morphism a)

PartialMonoid a => PartialMonoid (Morphism a)

Methods

pzero :: Morphism a

PartialGroup a => PartialGroup (Morphism a)

Methods

pnegate :: Morphism a -> Maybe (Morphism a)

pminus :: Morphism a -> Morphism a -> Maybe (Morphism a)

psubtract :: Morphism a -> Morphism a -> Maybe (Morphism a)