Control.Lens.Internal.Magma

Magma

data Magma i t b a where

This provides a way to peek at the internal structure of a Traversal or IndexedTraversal

Constructors

MagmaAp :: Magma i (x -> y) b a -> Magma i x b a -> Magma i y b a

MagmaPure :: x -> Magma i x b a

MagmaFmap :: (x -> y) -> Magma i x b a -> Magma i y b a

Magma :: i -> a -> Magma i b b a

Instances

TraversableWithIndex i (Magma i t b)

Methods

itraverse :: Applicative f => (i -> a -> f b) -> Magma i t b a -> f (Magma i t b b)

itraversed :: (Indexable i p, Applicative f) => p a (f b) -> Magma i t b a -> f (Magma i t b b)

FoldableWithIndex i (Magma i t b)

Methods

ifoldMap :: Monoid m => (i -> a -> m) -> Magma i t b a -> m

ifolded :: (Indexable i p, Contravariant f, Applicative f) => p a (f a) -> Magma i t b a -> f (Magma i t b a)

ifoldr :: (i -> a -> b -> b) -> b -> Magma i t b a -> b

ifoldl :: (i -> b -> a -> b) -> b -> Magma i t b a -> b

ifoldr' :: (i -> a -> b -> b) -> b -> Magma i t b a -> b

ifoldl' :: (i -> b -> a -> b) -> b -> Magma i t b a -> b

FunctorWithIndex i (Magma i t b)

Methods

imap :: (i -> a -> b) -> Magma i t b a -> Magma i t b b

imapped :: (Indexable i p, Settable f) => p a (f b) -> Magma i t b a -> f (Magma i t b b)

Functor (Magma i t b)

Methods

fmap :: (a -> b) -> Magma i t b a -> Magma i t b b

(<$) :: a -> Magma i t b b -> Magma i t b a

Foldable (Magma i t b)

Methods

fold :: Monoid m => Magma i t b m -> m

foldMap :: Monoid m => (a -> m) -> Magma i t b a -> m

foldr :: (a -> b -> b) -> b -> Magma i t b a -> b

foldr' :: (a -> b -> b) -> b -> Magma i t b a -> b

foldl :: (b -> a -> b) -> b -> Magma i t b a -> b

foldl' :: (b -> a -> b) -> b -> Magma i t b a -> b

foldr1 :: (a -> a -> a) -> Magma i t b a -> a

foldl1 :: (a -> a -> a) -> Magma i t b a -> a

toList :: Magma i t b a -> [a]

null :: Magma i t b a -> Bool

length :: Magma i t b a -> Int

elem :: Eq a => a -> Magma i t b a -> Bool

maximum :: Ord a => Magma i t b a -> a

minimum :: Ord a => Magma i t b a -> a

sum :: Num a => Magma i t b a -> a

product :: Num a => Magma i t b a -> a

Traversable (Magma i t b)

Methods

traverse :: Applicative f => (a -> f b) -> Magma i t b a -> f (Magma i t b b)

sequenceA :: Applicative f => Magma i t b (f a) -> f (Magma i t b a)

mapM :: Monad m => (a -> m b) -> Magma i t b a -> m (Magma i t b b)

sequence :: Monad m => Magma i t b (m a) -> m (Magma i t b a)

(Show i, Show a) => Show (Magma i t b a)

Methods

showsPrec :: Int -> Magma i t b a -> ShowS

show :: Magma i t b a -> String

showList :: [Magma i t b a] -> ShowS

runMagma :: Magma i t a a -> t

Run a Magma where all the individual leaves have been converted to the expected type

Molten

newtype Molten i a b t

This is a a non-reassociating initially encoded version of Bazaar.

Constructors

Molten

Fields

• runMolten :: Magma i t b a

Instances

IndexedComonad (Molten i)

Methods

iextract :: Molten i a a t -> t

iduplicate :: Molten i a c t -> Molten i a b (Molten i b c t)

iextend :: (Molten i b c t -> r) -> Molten i a c t -> Molten i a b r

IndexedFunctor (Molten i)

Methods

ifmap :: (s -> t) -> Molten i a b s -> Molten i a b t

Sellable (Indexed i) (Molten i)

Methods

sell :: Indexed i a (Molten i a b b)

Bizarre (Indexed i) (Molten i)

Methods

bazaar :: Applicative f => Indexed i a (f b) -> Molten i a b t -> f t

Functor (Molten i a b)

Methods

fmap :: (a -> b) -> Molten i a b a -> Molten i a b b

(<$) :: a -> Molten i a b b -> Molten i a b a

Applicative (Molten i a b)

Methods

pure :: a -> Molten i a b a

(<*>) :: Molten i a b (a -> b) -> Molten i a b a -> Molten i a b b

(*>) :: Molten i a b a -> Molten i a b b -> Molten i a b b

(<*) :: Molten i a b a -> Molten i a b b -> Molten i a b a

(~) * a b => Comonad (Molten i a b)

Methods

extract :: Molten i a b a -> a

duplicate :: Molten i a b a -> Molten i a b (Molten i a b a)

extend :: (Molten i a b a -> b) -> Molten i a b a -> Molten i a b b

Apply (Molten i a b)

Methods

(<.>) :: Molten i a b (a -> b) -> Molten i a b a -> Molten i a b b

(.>) :: Molten i a b a -> Molten i a b b -> Molten i a b b

(<.) :: Molten i a b a -> Molten i a b b -> Molten i a b a

Mafic

data Mafic a b t

This is used to generate an indexed magma from an unindexed source

By constructing it this way we avoid infinite reassociations in sums where possible.

Constructors

Mafic Int (Int -> Magma Int t b a)

Instances

IndexedFunctor Mafic

Methods

ifmap :: (s -> t) -> Mafic a b s -> Mafic a b t

Sellable (->) Mafic

Methods

sell :: a -> Mafic a b b

Bizarre (Indexed Int) Mafic

Methods

bazaar :: Applicative f => Indexed Int a (f b) -> Mafic a b t -> f t

Functor (Mafic a b)

Methods

fmap :: (a -> b) -> Mafic a b a -> Mafic a b b

(<$) :: a -> Mafic a b b -> Mafic a b a

Applicative (Mafic a b)

Methods

pure :: a -> Mafic a b a

(<*>) :: Mafic a b (a -> b) -> Mafic a b a -> Mafic a b b

(*>) :: Mafic a b a -> Mafic a b b -> Mafic a b b

(<*) :: Mafic a b a -> Mafic a b b -> Mafic a b a

Apply (Mafic a b)

Methods

(<.>) :: Mafic a b (a -> b) -> Mafic a b a -> Mafic a b b

(.>) :: Mafic a b a -> Mafic a b b -> Mafic a b b

(<.) :: Mafic a b a -> Mafic a b b -> Mafic a b a

runMafic :: Mafic a b t -> Magma Int t b a

Generate a Magma using from a prefix sum.

TakingWhile

data TakingWhile p g a b t

This is used to generate an indexed magma from an unindexed source

By constructing it this way we avoid infinite reassociations where possible.

In TakingWhile p g a b t, g has a nominal role to avoid exposing an illegal _|_ via Contravariant, while the remaining arguments are degraded to a nominal role by the invariants of Magma

Constructors

TakingWhile Bool t (Bool -> Magma () t b (Corep p a))

Instances

Corepresentable p => Bizarre p (TakingWhile p g)

Methods

bazaar :: Applicative f => p a (f b) -> TakingWhile p g a b t -> f t

IndexedFunctor (TakingWhile p f)

Methods

ifmap :: (s -> t) -> TakingWhile p f a b s -> TakingWhile p f a b t

Functor (TakingWhile p f a b)

Methods

fmap :: (a -> b) -> TakingWhile p f a b a -> TakingWhile p f a b b

(<$) :: a -> TakingWhile p f a b b -> TakingWhile p f a b a

Applicative (TakingWhile p f a b)

Methods

pure :: a -> TakingWhile p f a b a

(<*>) :: TakingWhile p f a b (a -> b) -> TakingWhile p f a b a -> TakingWhile p f a b b

(*>) :: TakingWhile p f a b a -> TakingWhile p f a b b -> TakingWhile p f a b b

(<*) :: TakingWhile p f a b a -> TakingWhile p f a b b -> TakingWhile p f a b a

Contravariant f => Contravariant (TakingWhile p f a b)

Methods

contramap :: (a -> b) -> TakingWhile p f a b b -> TakingWhile p f a b a

(>$) :: b -> TakingWhile p f a b b -> TakingWhile p f a b a

Apply (TakingWhile p f a b)

Methods

(<.>) :: TakingWhile p f a b (a -> b) -> TakingWhile p f a b a -> TakingWhile p f a b b

(.>) :: TakingWhile p f a b a -> TakingWhile p f a b b -> TakingWhile p f a b b

(<.) :: TakingWhile p f a b a -> TakingWhile p f a b b -> TakingWhile p f a b a

runTakingWhile :: TakingWhile p f a b t -> Magma () t b (Corep p a)

Generate a Magma with leaves only while the predicate holds from left to right.