Copyright	(c) 2011-2015 diagrams-lib team (see LICENSE)
License	BSD-style (see LICENSE)
Maintainer	diagrams-discuss@googlegroups.com
Safe Haskell	Safe-Inferred
Language	Haskell2010

Diagrams.Prelude

Contents

Diagrams library
Convenience re-exports from other packages

Description

A module to re-export most of the functionality of the diagrams core and standard library.

Synopsis

module Diagrams
module Data.Default.Class
class ColourOps (f :: Type -> Type) where
- darken :: Num a => a -> f a -> f a
data AlphaColour a
data Colour a
colourConvert :: (Fractional b, Real a) => Colour a -> Colour b
black :: Num a => Colour a
transparent :: Num a => AlphaColour a
alphaColourConvert :: (Fractional b, Real a) => AlphaColour a -> AlphaColour b
opaque :: Num a => Colour a -> AlphaColour a
dissolve :: Num a => a -> AlphaColour a -> AlphaColour a
withOpacity :: Num a => Colour a -> a -> AlphaColour a
blend :: (Num a, AffineSpace f) => a -> f a -> f a -> f a
alphaChannel :: AlphaColour a -> a
black :: Num a => Colour a
readColourName :: (MonadFail m, Monad m, Ord a, Floating a) => String -> m (Colour a)
aliceblue :: (Ord a, Floating a) => Colour a
antiquewhite :: (Ord a, Floating a) => Colour a
aqua :: (Ord a, Floating a) => Colour a
aquamarine :: (Ord a, Floating a) => Colour a
azure :: (Ord a, Floating a) => Colour a
beige :: (Ord a, Floating a) => Colour a
bisque :: (Ord a, Floating a) => Colour a
blanchedalmond :: (Ord a, Floating a) => Colour a
blue :: (Ord a, Floating a) => Colour a
blueviolet :: (Ord a, Floating a) => Colour a
brown :: (Ord a, Floating a) => Colour a
burlywood :: (Ord a, Floating a) => Colour a
cadetblue :: (Ord a, Floating a) => Colour a
chartreuse :: (Ord a, Floating a) => Colour a
chocolate :: (Ord a, Floating a) => Colour a
coral :: (Ord a, Floating a) => Colour a
cornflowerblue :: (Ord a, Floating a) => Colour a
cornsilk :: (Ord a, Floating a) => Colour a
crimson :: (Ord a, Floating a) => Colour a
cyan :: (Ord a, Floating a) => Colour a
darkblue :: (Ord a, Floating a) => Colour a
darkcyan :: (Ord a, Floating a) => Colour a
darkgoldenrod :: (Ord a, Floating a) => Colour a
darkgray :: (Ord a, Floating a) => Colour a
darkgreen :: (Ord a, Floating a) => Colour a
darkgrey :: (Ord a, Floating a) => Colour a
darkkhaki :: (Ord a, Floating a) => Colour a
darkmagenta :: (Ord a, Floating a) => Colour a
darkolivegreen :: (Ord a, Floating a) => Colour a
darkorange :: (Ord a, Floating a) => Colour a
darkorchid :: (Ord a, Floating a) => Colour a
darkred :: (Ord a, Floating a) => Colour a
darksalmon :: (Ord a, Floating a) => Colour a
darkseagreen :: (Ord a, Floating a) => Colour a
darkslateblue :: (Ord a, Floating a) => Colour a
darkslategray :: (Ord a, Floating a) => Colour a
darkslategrey :: (Ord a, Floating a) => Colour a
darkturquoise :: (Ord a, Floating a) => Colour a
darkviolet :: (Ord a, Floating a) => Colour a
deeppink :: (Ord a, Floating a) => Colour a
deepskyblue :: (Ord a, Floating a) => Colour a
dimgray :: (Ord a, Floating a) => Colour a
dimgrey :: (Ord a, Floating a) => Colour a
dodgerblue :: (Ord a, Floating a) => Colour a
firebrick :: (Ord a, Floating a) => Colour a
floralwhite :: (Ord a, Floating a) => Colour a
forestgreen :: (Ord a, Floating a) => Colour a
fuchsia :: (Ord a, Floating a) => Colour a
gainsboro :: (Ord a, Floating a) => Colour a
ghostwhite :: (Ord a, Floating a) => Colour a
gold :: (Ord a, Floating a) => Colour a
goldenrod :: (Ord a, Floating a) => Colour a
gray :: (Ord a, Floating a) => Colour a
grey :: (Ord a, Floating a) => Colour a
green :: (Ord a, Floating a) => Colour a
greenyellow :: (Ord a, Floating a) => Colour a
honeydew :: (Ord a, Floating a) => Colour a
hotpink :: (Ord a, Floating a) => Colour a
indianred :: (Ord a, Floating a) => Colour a
indigo :: (Ord a, Floating a) => Colour a
ivory :: (Ord a, Floating a) => Colour a
khaki :: (Ord a, Floating a) => Colour a
lavender :: (Ord a, Floating a) => Colour a
lavenderblush :: (Ord a, Floating a) => Colour a
lawngreen :: (Ord a, Floating a) => Colour a
lemonchiffon :: (Ord a, Floating a) => Colour a
lightblue :: (Ord a, Floating a) => Colour a
lightcoral :: (Ord a, Floating a) => Colour a
lightcyan :: (Ord a, Floating a) => Colour a
lightgoldenrodyellow :: (Ord a, Floating a) => Colour a
lightgray :: (Ord a, Floating a) => Colour a
lightgreen :: (Ord a, Floating a) => Colour a
lightgrey :: (Ord a, Floating a) => Colour a
lightpink :: (Ord a, Floating a) => Colour a
lightsalmon :: (Ord a, Floating a) => Colour a
lightseagreen :: (Ord a, Floating a) => Colour a
lightskyblue :: (Ord a, Floating a) => Colour a
lightslategray :: (Ord a, Floating a) => Colour a
lightslategrey :: (Ord a, Floating a) => Colour a
lightsteelblue :: (Ord a, Floating a) => Colour a
lightyellow :: (Ord a, Floating a) => Colour a
lime :: (Ord a, Floating a) => Colour a
limegreen :: (Ord a, Floating a) => Colour a
linen :: (Ord a, Floating a) => Colour a
magenta :: (Ord a, Floating a) => Colour a
maroon :: (Ord a, Floating a) => Colour a
mediumaquamarine :: (Ord a, Floating a) => Colour a
mediumblue :: (Ord a, Floating a) => Colour a
mediumorchid :: (Ord a, Floating a) => Colour a
mediumpurple :: (Ord a, Floating a) => Colour a
mediumseagreen :: (Ord a, Floating a) => Colour a
mediumslateblue :: (Ord a, Floating a) => Colour a
mediumspringgreen :: (Ord a, Floating a) => Colour a
mediumturquoise :: (Ord a, Floating a) => Colour a
mediumvioletred :: (Ord a, Floating a) => Colour a
midnightblue :: (Ord a, Floating a) => Colour a
mintcream :: (Ord a, Floating a) => Colour a
mistyrose :: (Ord a, Floating a) => Colour a
moccasin :: (Ord a, Floating a) => Colour a
navajowhite :: (Ord a, Floating a) => Colour a
navy :: (Ord a, Floating a) => Colour a
oldlace :: (Ord a, Floating a) => Colour a
olive :: (Ord a, Floating a) => Colour a
olivedrab :: (Ord a, Floating a) => Colour a
orange :: (Ord a, Floating a) => Colour a
orangered :: (Ord a, Floating a) => Colour a
orchid :: (Ord a, Floating a) => Colour a
palegoldenrod :: (Ord a, Floating a) => Colour a
palegreen :: (Ord a, Floating a) => Colour a
paleturquoise :: (Ord a, Floating a) => Colour a
palevioletred :: (Ord a, Floating a) => Colour a
papayawhip :: (Ord a, Floating a) => Colour a
peachpuff :: (Ord a, Floating a) => Colour a
peru :: (Ord a, Floating a) => Colour a
pink :: (Ord a, Floating a) => Colour a
plum :: (Ord a, Floating a) => Colour a
powderblue :: (Ord a, Floating a) => Colour a
purple :: (Ord a, Floating a) => Colour a
red :: (Ord a, Floating a) => Colour a
rosybrown :: (Ord a, Floating a) => Colour a
royalblue :: (Ord a, Floating a) => Colour a
saddlebrown :: (Ord a, Floating a) => Colour a
salmon :: (Ord a, Floating a) => Colour a
sandybrown :: (Ord a, Floating a) => Colour a
seagreen :: (Ord a, Floating a) => Colour a
seashell :: (Ord a, Floating a) => Colour a
sienna :: (Ord a, Floating a) => Colour a
silver :: (Ord a, Floating a) => Colour a
skyblue :: (Ord a, Floating a) => Colour a
slateblue :: (Ord a, Floating a) => Colour a
slategray :: (Ord a, Floating a) => Colour a
slategrey :: (Ord a, Floating a) => Colour a
snow :: (Ord a, Floating a) => Colour a
springgreen :: (Ord a, Floating a) => Colour a
steelblue :: (Ord a, Floating a) => Colour a
teal :: (Ord a, Floating a) => Colour a
thistle :: (Ord a, Floating a) => Colour a
tomato :: (Ord a, Floating a) => Colour a
turquoise :: (Ord a, Floating a) => Colour a
violet :: (Ord a, Floating a) => Colour a
wheat :: (Ord a, Floating a) => Colour a
white :: (Ord a, Floating a) => Colour a
whitesmoke :: (Ord a, Floating a) => Colour a
yellow :: (Ord a, Floating a) => Colour a
yellowgreen :: (Ord a, Floating a) => Colour a
module Data.Colour.SRGB
module Data.Semigroup
module Linear.Vector
module Linear.Affine
module Linear.Metric
module Data.Active
type Traversal s t a b = forall (f :: Type -> Type). Applicative f => (a -> f b) -> s -> f t
type Fold s a = forall (f :: Type -> Type). (Contravariant f, Applicative f) => (a -> f a) -> s -> f s
class Contravariant (f :: Type -> Type) where
- contramap :: (a' -> a) -> f a -> f a'
- (>$) :: b -> f b -> f a
class (forall a. Functor (p a)) => Bifunctor (p :: Type -> Type -> Type) where
- bimap :: (a -> b) -> (c -> d) -> p a c -> p b d
class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where
- traverse :: Applicative f => (a -> f b) -> t a -> f (t b)
data (a :: k) :~: (b :: k) where
- Refl :: forall {k} (a :: k). a :~: a
newtype Const a (b :: k) = Const {
- getConst :: a
}
newtype Identity a = Identity {
- runIdentity :: a
}
type Iso s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Profunctor p, Functor f) => p a (f b) -> p s (f t)
type IndexedTraversal i s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Indexable i p, Applicative f) => p a (f b) -> s -> f t
type IndexedFold i s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Indexable i p, Contravariant f, Applicative f) => p a (f a) -> s -> f s
type Prism s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Choice p, Applicative f) => p a (f b) -> p s (f t)
type Lens s t a b = forall (f :: Type -> Type). Functor f => (a -> f b) -> s -> f t
type IndexedLens i s t a b = forall (f :: Type -> Type) (p :: Type -> Type -> Type). (Indexable i p, Functor f) => p a (f b) -> s -> f t
type Getter s a = forall (f :: Type -> Type). (Contravariant f, Functor f) => (a -> f a) -> s -> f s
type IndexedGetter i s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Indexable i p, Contravariant f, Functor f) => p a (f a) -> s -> f s
type LensLike (f :: k -> Type) s (t :: k) a (b :: k) = (a -> f b) -> s -> f t
type Over (p :: k -> Type -> Type) (f :: k1 -> Type) s (t :: k1) (a :: k) (b :: k1) = p a (f b) -> s -> f t
newtype Bazaar (p :: Type -> Type -> Type) a b t = Bazaar {
- runBazaar :: forall (f :: Type -> Type). Applicative f => p a (f b) -> f t
}
type Setter s t a b = forall (f :: Type -> Type). Settable f => (a -> f b) -> s -> f t
class (MonadState s m, MonadState t n) => Zoom (m :: Type -> Type) (n :: Type -> Type) s t | m -> s, n -> t, m t -> n, n s -> m where
- zoom :: LensLike' (Zoomed m c) t s -> m c -> n c
type Getting r s a = (a -> Const r a) -> s -> Const r s
type Traversal' s a = Traversal s s a a
type Setter' s a = Setter s s a a
type Iso' s a = Iso s s a a
class AsEmpty a where
- _Empty :: Prism' a ()
newtype ReifiedTraversal s t a b = Traversal {
- runTraversal :: Traversal s t a b
}
type Prism' s a = Prism s s a a
type Lens' s a = Lens s s a a
newtype Indexed i a b = Indexed {
- runIndexed :: i -> a -> b
}
type Simple (f :: k1 -> k1 -> k2 -> k2 -> k) (s :: k1) (a :: k2) = f s s a a
class Wrapped s where
- type Unwrapped s
- _Wrapped' :: Iso' s (Unwrapped s)
class (FunctorWithIndex i t, FoldableWithIndex i t, Traversable t) => TraversableWithIndex i (t :: Type -> Type) | t -> i where
- itraverse :: Applicative f => (i -> a -> f b) -> t a -> f (t b)
class Foldable f => FoldableWithIndex i (f :: Type -> Type) | f -> i where
- ifoldMap :: Monoid m => (i -> a -> m) -> f a -> m
- ifoldMap' :: Monoid m => (i -> a -> m) -> f a -> m
- ifoldr :: (i -> a -> b -> b) -> b -> f a -> b
- ifoldl :: (i -> b -> a -> b) -> b -> f a -> b
- ifoldr' :: (i -> a -> b -> b) -> b -> f a -> b
- ifoldl' :: (i -> b -> a -> b) -> b -> f a -> b
class Functor f => FunctorWithIndex i (f :: Type -> Type) | f -> i where
- imap :: (i -> a -> b) -> f a -> f b
class Profunctor (p :: Type -> Type -> Type) where
- dimap :: (a -> b) -> (c -> d) -> p b c -> p a d
- lmap :: (a -> b) -> p b c -> p a c
- rmap :: (b -> c) -> p a b -> p a c
class Profunctor p => Choice (p :: Type -> Type -> Type) where
- left' :: p a b -> p (Either a c) (Either b c)
- right' :: p a b -> p (Either c a) (Either c b)
class (Foldable1 t, Traversable t) => Traversable1 (t :: Type -> Type) where
- traverse1 :: Apply f => (a -> f b) -> t a -> f (t b)
class Reversing t where
- reversing :: t -> t
data Level i a
class Conjoined p => Indexable i (p :: Type -> Type -> Type)
class (Choice p, Corepresentable p, Comonad (Corep p), Traversable (Corep p), Strong p, Representable p, Monad (Rep p), MonadFix (Rep p), Distributive (Rep p), Costrong p, ArrowLoop p, ArrowApply p, ArrowChoice p, Closed p) => Conjoined (p :: Type -> Type -> Type) where
- distrib :: Functor f => p a b -> p (f a) (f b)
- conjoined :: (p ~ (->) => q (a -> b) r) -> q (p a b) r -> q (p a b) r
data Rightmost a
data Leftmost a
data Sequenced a (m :: Type -> Type)
data Traversed a (f :: Type -> Type)
type Context' a = Context a a
data Context a b t = Context (b -> t) a
type Bazaar1' (p :: Type -> Type -> Type) a = Bazaar1 p a a
newtype Bazaar1 (p :: Type -> Type -> Type) a b t = Bazaar1 {
- runBazaar1 :: forall (f :: Type -> Type). Apply f => p a (f b) -> f t
}
type Bazaar' (p :: Type -> Type -> Type) a = Bazaar p a a
data Magma i t b a
class (Profunctor p, Bifunctor p) => Reviewable (p :: Type -> Type -> Type)
class (Applicative f, Distributive f, Traversable f) => Settable (f :: Type -> Type)
type Over' (p :: Type -> Type -> Type) (f :: Type -> Type) s a = Over p f s s a a
type IndexedLensLike' i (f :: Type -> Type) s a = IndexedLensLike i f s s a a
type IndexedLensLike i (f :: k -> Type) s (t :: k) a (b :: k) = forall (p :: Type -> Type -> Type). Indexable i p => p a (f b) -> s -> f t
type LensLike' (f :: Type -> Type) s a = LensLike f s s a a
type Optical' (p :: k -> k1 -> Type) (q :: k -> k1 -> Type) (f :: k -> k1) (s :: k) (a :: k) = Optical p q f s s a a
type Optical (p :: k -> k1 -> Type) (q :: k2 -> k1 -> Type) (f :: k3 -> k1) (s :: k2) (t :: k3) (a :: k) (b :: k3) = p a (f b) -> q s (f t)
type Optic' (p :: k -> k1 -> Type) (f :: k -> k1) (s :: k) (a :: k) = Optic p f s s a a
type Optic (p :: k -> k1 -> Type) (f :: k2 -> k1) (s :: k) (t :: k2) (a :: k) (b :: k2) = p a (f b) -> p s (f t)
type IndexPreservingFold1 s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Contravariant f, Apply f) => p a (f a) -> p s (f s)
type IndexedFold1 i s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Indexable i p, Contravariant f, Apply f) => p a (f a) -> s -> f s
type Fold1 s a = forall (f :: Type -> Type). (Contravariant f, Apply f) => (a -> f a) -> s -> f s
type IndexPreservingFold s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Contravariant f, Applicative f) => p a (f a) -> p s (f s)
type IndexPreservingGetter s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Contravariant f, Functor f) => p a (f a) -> p s (f s)
type As (a :: k2) = Equality' a a
type Equality' (s :: k2) (a :: k2) = Equality s s a a
type Equality (s :: k1) (t :: k2) (a :: k1) (b :: k2) = forall k3 (p :: k1 -> k3 -> Type) (f :: k2 -> k3). p a (f b) -> p s (f t)
type AReview t b = Optic' (Tagged :: Type -> Type -> Type) Identity t b
type Review t b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Choice p, Bifunctor p, Settable f) => Optic' p f t b
type IndexPreservingSetter' s a = IndexPreservingSetter s s a a
type IndexPreservingSetter s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Settable f) => p a (f b) -> p s (f t)
type IndexedSetter' i s a = IndexedSetter i s s a a
type IndexedSetter i s t a b = forall (f :: Type -> Type) (p :: Type -> Type -> Type). (Indexable i p, Settable f) => p a (f b) -> s -> f t
type IndexPreservingTraversal1' s a = IndexPreservingTraversal1 s s a a
type IndexPreservingTraversal1 s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Apply f) => p a (f b) -> p s (f t)
type IndexPreservingTraversal' s a = IndexPreservingTraversal s s a a
type IndexPreservingTraversal s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Applicative f) => p a (f b) -> p s (f t)
type IndexedTraversal1' i s a = IndexedTraversal1 i s s a a
type IndexedTraversal1 i s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Indexable i p, Apply f) => p a (f b) -> s -> f t
type IndexedTraversal' i s a = IndexedTraversal i s s a a
type Traversal1' s a = Traversal1 s s a a
type Traversal1 s t a b = forall (f :: Type -> Type). Apply f => (a -> f b) -> s -> f t
type IndexPreservingLens' s a = IndexPreservingLens s s a a
type IndexPreservingLens s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Functor f) => p a (f b) -> p s (f t)
type IndexedLens' i s a = IndexedLens i s s a a
type Setting' (p :: Type -> Type -> Type) s a = Setting p s s a a
type Setting (p :: Type -> Type -> Type) s t a b = p a (Identity b) -> s -> Identity t
type AnIndexedSetter' i s a = AnIndexedSetter i s s a a
type AnIndexedSetter i s t a b = Indexed i a (Identity b) -> s -> Identity t
type ASetter' s a = ASetter s s a a
type ASetter s t a b = (a -> Identity b) -> s -> Identity t
type AnIndexedLens' i s a = AnIndexedLens i s s a a
type AnIndexedLens i s t a b = Optical (Indexed i) (->) (Pretext (Indexed i) a b) s t a b
type ALens' s a = ALens s s a a
type ALens s t a b = LensLike (Pretext (->) a b) s t a b
class Field19 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _19 :: Lens s t a b
class Field18 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _18 :: Lens s t a b
class Field17 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _17 :: Lens s t a b
class Field16 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _16 :: Lens s t a b
class Field15 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _15 :: Lens s t a b
class Field14 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _14 :: Lens s t a b
class Field13 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _13 :: Lens s t a b
class Field12 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _12 :: Lens s t a b
class Field11 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _11 :: Lens s t a b
class Field10 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _10 :: Lens s t a b
class Field9 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _9 :: Lens s t a b
class Field8 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _8 :: Lens s t a b
class Field7 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _7 :: Lens s t a b
class Field6 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _6 :: Lens s t a b
class Field5 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _5 :: Lens s t a b
class Field4 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _4 :: Lens s t a b
class Field3 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _3 :: Lens s t a b
class Field2 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _2 :: Lens s t a b
class Field1 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _1 :: Lens s t a b
type Accessing (p :: Type -> Type -> Type) m s a = p a (Const m a) -> s -> Const m s
type IndexedGetting i m s a = Indexed i a (Const m a) -> s -> Const m s
class Suffixed t where
- suffixed :: t -> Prism' t t
class Prefixed t where
- prefixed :: t -> Prism' t t
type APrism' s a = APrism s s a a
type APrism s t a b = Market a b a (Identity b) -> Market a b s (Identity t)
class Ord k => TraverseMax k (m :: Type -> Type) | m -> k where
- traverseMax :: IndexedTraversal' k (m v) v
class Ord k => TraverseMin k (m :: Type -> Type) | m -> k where
- traverseMin :: IndexedTraversal' k (m v) v
type Traversing1' (p :: Type -> Type -> Type) (f :: Type -> Type) s a = Traversing1 p f s s a a
type Traversing' (p :: Type -> Type -> Type) (f :: Type -> Type) s a = Traversing p f s s a a
type Traversing1 (p :: Type -> Type -> Type) (f :: Type -> Type) s t a b = Over p (BazaarT1 p f a b) s t a b
type Traversing (p :: Type -> Type -> Type) (f :: Type -> Type) s t a b = Over p (BazaarT p f a b) s t a b
type AnIndexedTraversal1' i s a = AnIndexedTraversal1 i s s a a
type AnIndexedTraversal' i s a = AnIndexedTraversal i s s a a
type AnIndexedTraversal1 i s t a b = Over (Indexed i) (Bazaar1 (Indexed i) a b) s t a b
type AnIndexedTraversal i s t a b = Over (Indexed i) (Bazaar (Indexed i) a b) s t a b
type ATraversal1' s a = ATraversal1 s s a a
type ATraversal1 s t a b = LensLike (Bazaar1 (->) a b) s t a b
type ATraversal' s a = ATraversal s s a a
type ATraversal s t a b = LensLike (Bazaar (->) a b) s t a b
type ReifiedPrism' s a = ReifiedPrism s s a a
newtype ReifiedPrism s t a b = Prism {
- runPrism :: Prism s t a b
}
type ReifiedIso' s a = ReifiedIso s s a a
newtype ReifiedIso s t a b = Iso {
- runIso :: Iso s t a b
}
type ReifiedIndexedSetter' i s a = ReifiedIndexedSetter i s s a a
newtype ReifiedIndexedSetter i s t a b = IndexedSetter {
- runIndexedSetter :: IndexedSetter i s t a b
}
type ReifiedSetter' s a = ReifiedSetter s s a a
newtype ReifiedSetter s t a b = Setter {
- runSetter :: Setter s t a b
}
newtype ReifiedIndexedFold i s a = IndexedFold {
- runIndexedFold :: IndexedFold i s a
}
newtype ReifiedFold s a = Fold {
- runFold :: Fold s a
}
newtype ReifiedIndexedGetter i s a = IndexedGetter {
- runIndexedGetter :: IndexedGetter i s a
}
newtype ReifiedGetter s a = Getter {
- runGetter :: Getter s a
}
type ReifiedTraversal' s a = ReifiedTraversal s s a a
type ReifiedIndexedTraversal' i s a = ReifiedIndexedTraversal i s s a a
newtype ReifiedIndexedTraversal i s t a b = IndexedTraversal {
- runIndexedTraversal :: IndexedTraversal i s t a b
}
type ReifiedIndexedLens' i s a = ReifiedIndexedLens i s s a a
newtype ReifiedIndexedLens i s t a b = IndexedLens {
- runIndexedLens :: IndexedLens i s t a b
}
type ReifiedLens' s a = ReifiedLens s s a a
newtype ReifiedLens s t a b = Lens {
- runLens :: Lens s t a b
}
type AnEquality' (s :: k) (a :: k) = AnEquality s s a a
type AnEquality (s :: k) (t :: k1) (a :: k) (b :: k2) = Identical a (Proxy b) a (Proxy b) -> Identical a (Proxy b) s (Proxy t)
data Identical (a :: k) (b :: k1) (s :: k) (t :: k1) where
- Identical :: forall {k} {k1} (a :: k) (b :: k1). Identical a b a b
type AnIso' s a = AnIso s s a a
type AnIso s t a b = Exchange a b a (Identity b) -> Exchange a b s (Identity t)
class Snoc s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _Snoc :: Prism s t (s, a) (t, b)
class Cons s t a b | s -> a, t -> b, s b -> t, t a -> s where
- _Cons :: Prism s t (a, s) (b, t)
class (Rewrapped s t, Rewrapped t s) => Rewrapping s t
class Wrapped s => Rewrapped s t
type family Unwrapped s
class (Magnified m ~ Magnified n, MonadReader b m, MonadReader a n) => Magnify (m :: Type -> Type) (n :: Type -> Type) b a | m -> b, n -> a, m a -> n, n b -> m where
- magnify :: ((Functor (Magnified m c), Contravariant (Magnified m c)) => LensLike' (Magnified m c) a b) -> m c -> n c
type family Magnified (m :: Type -> Type) :: Type -> Type -> Type
type family Zoomed (m :: Type -> Type) :: Type -> Type -> Type
class GPlated1 (f :: k -> Type) (g :: k -> Type)
class GPlated a (g :: k -> Type)
class Plated a where
- plate :: Traversal' a a
class Each s t a b | s -> a, t -> b, s b -> t, t a -> s where
- each :: Traversal s t a b
class Ixed m => At m
class Ixed m where
- ix :: Index m -> Traversal' m (IxValue m)
type family IxValue m
class Contains m
type family Index s
type ClassyNamer = Name -> Maybe (Name, Name)
data DefName
- = TopName Name
- | MethodName Name Name
type FieldNamer = Name -> [Name] -> Name -> [DefName]
data LensRules
pattern Empty :: AsEmpty s => s
pattern List :: IsList l => [Item l] -> l
pattern (:>) :: Snoc a a b b => a -> b -> a
pattern (:<) :: Cons b b a a => a -> b -> b
pattern Strict :: Strict s t => t -> s
pattern Lazy :: Strict t s => t -> s
pattern Wrapped :: Rewrapped s s => Unwrapped s -> s
pattern Reversed :: Reversing t => t -> t
pattern Swapped :: Swap p => p b a -> p a b
pattern Unwrapped :: Rewrapped t t => t -> Unwrapped t
lens :: (s -> a) -> (s -> b -> t) -> Lens s t a b
strict :: Strict lazy strict => Iso' lazy strict
index :: (Indexable i p, Eq i, Applicative f) => i -> Optical' p (Indexed i) f a a
lazy :: Strict lazy strict => Iso' strict lazy
uncons :: Cons s s a a => s -> Maybe (a, s)
(<&>) :: Functor f => f a -> (a -> b) -> f b
(&) :: a -> (a -> b) -> b
from :: AnIso s t a b -> Iso b a t s
to :: (Profunctor p, Contravariant f) => (s -> a) -> Optic' p f s a
(<|) :: Cons s s a a => a -> s -> s
cons :: Cons s s a a => a -> s -> s
snoc :: Snoc s s a a => s -> a -> s
unsnoc :: Snoc s s a a => s -> Maybe (s, a)
over :: ASetter s t a b -> (a -> b) -> s -> t
(|>) :: Snoc s s a a => s -> a -> s
lastOf :: Getting (Rightmost a) s a -> s -> Maybe a
firstOf :: Getting (Leftmost a) s a -> s -> Maybe a
traverse1Of_ :: Functor f => Getting (TraversedF r f) s a -> (a -> f r) -> s -> f ()
traverseOf_ :: Functor f => Getting (Traversed r f) s a -> (a -> f r) -> s -> f ()
cloneLens :: ALens s t a b -> Lens s t a b
taking :: (Conjoined p, Applicative f) => Int -> Traversing p f s t a a -> Over p f s t a a
traversed :: forall (f :: Type -> Type) a b. Traversable f => IndexedTraversal Int (f a) (f b) a b
foldMapOf :: Getting r s a -> (a -> r) -> s -> r
re :: AReview t b -> Getter b t
review :: MonadReader b m => AReview t b -> m t
preview :: MonadReader s m => Getting (First a) s a -> m (Maybe a)
(^?) :: s -> Getting (First a) s a -> Maybe a
matching :: APrism s t a b -> s -> Either t a
lengthOf :: Getting (Endo (Endo Int)) s a -> s -> Int
prism :: (b -> t) -> (s -> Either t a) -> Prism s t a b
set :: ASetter s t a b -> b -> s -> t
view :: MonadReader s m => Getting a s a -> m a
cloneTraversal :: ATraversal s t a b -> Traversal s t a b
use :: MonadState s m => Getting a s a -> m a
(^.) :: s -> Getting a s a -> a
(.~) :: ASetter s t a b -> b -> s -> t
(%~) :: ASetter s t a b -> (a -> b) -> s -> t
(+~) :: Num a => ASetter s t a a -> a -> s -> t
(-~) :: Num a => ASetter s t a a -> a -> s -> t
(*~) :: Num a => ASetter s t a a -> a -> s -> t
(//~) :: Fractional a => ASetter s t a a -> a -> s -> t
(^~) :: (Num a, Integral e) => ASetter s t a a -> e -> s -> t
(^^~) :: (Fractional a, Integral e) => ASetter s t a a -> e -> s -> t
(**~) :: Floating a => ASetter s t a a -> a -> s -> t
(||~) :: ASetter s t Bool Bool -> Bool -> s -> t
(&&~) :: ASetter s t Bool Bool -> Bool -> s -> t
(?~) :: ASetter s t a (Maybe b) -> b -> s -> t
(<>~) :: Semigroup a => ASetter s t a a -> a -> s -> t
(%=) :: MonadState s m => ASetter s s a b -> (a -> b) -> m ()
(+=) :: (MonadState s m, Num a) => ASetter' s a -> a -> m ()
(-=) :: (MonadState s m, Num a) => ASetter' s a -> a -> m ()
(*=) :: (MonadState s m, Num a) => ASetter' s a -> a -> m ()
(//=) :: (MonadState s m, Fractional a) => ASetter' s a -> a -> m ()
(^=) :: (MonadState s m, Num a, Integral e) => ASetter' s a -> e -> m ()
(^^=) :: (MonadState s m, Fractional a, Integral e) => ASetter' s a -> e -> m ()
(**=) :: (MonadState s m, Floating a) => ASetter' s a -> a -> m ()
(||=) :: MonadState s m => ASetter' s Bool -> Bool -> m ()
(&&=) :: MonadState s m => ASetter' s Bool -> Bool -> m ()
(.=) :: MonadState s m => ASetter s s a b -> b -> m ()
(?=) :: MonadState s m => ASetter s s a (Maybe b) -> b -> m ()
(<>=) :: (MonadState s m, Semigroup a) => ASetter' s a -> a -> m ()
(%@~) :: AnIndexedSetter i s t a b -> (i -> a -> b) -> s -> t
withIndex :: (Indexable i p, Functor f) => p (i, s) (f (j, t)) -> Indexed i s (f t)
(<.~) :: ASetter s t a b -> b -> s -> (b, t)
(<.=) :: MonadState s m => ASetter s s a b -> b -> m b
anyOf :: Getting Any s a -> (a -> Bool) -> s -> Bool
ifoldMapOf :: IndexedGetting i m s a -> (i -> a -> m) -> s -> m
dropping :: (Conjoined p, Applicative f) => Int -> Over p (Indexing f) s t a a -> Over p f s t a a
traverseOf :: LensLike f s t a b -> (a -> f b) -> s -> f t
_Left :: forall a c b p f. (Choice p, Applicative f) => p a (f b) -> p (Either a c) (f (Either b c))
forOf :: LensLike f s t a b -> s -> (a -> f b) -> f t
itraverseOf :: (Indexed i a (f b) -> s -> f t) -> (i -> a -> f b) -> s -> f t
imapMOf :: Over (Indexed i) (WrappedMonad m) s t a b -> (i -> a -> m b) -> s -> m t
iforMOf :: (Indexed i a (WrappedMonad m b) -> s -> WrappedMonad m t) -> s -> (i -> a -> m b) -> m t
ifor :: (TraversableWithIndex i t, Applicative f) => t a -> (i -> a -> f b) -> f (t b)
contextsOf :: ATraversal' a a -> a -> [Context a a a]
ala :: (Functor f, Rewrapping s t) => (Unwrapped s -> s) -> ((Unwrapped t -> t) -> f s) -> f (Unwrapped s)
alaf :: (Functor f, Functor g, Rewrapping s t) => (Unwrapped s -> s) -> (f t -> g s) -> f (Unwrapped t) -> g (Unwrapped s)
folded :: forall (f :: Type -> Type) a. Foldable f => IndexedFold Int (f a) a
alongside :: LensLike (AlongsideLeft f b') s t a b -> LensLike (AlongsideRight f t) s' t' a' b' -> LensLike f (s, s') (t, t') (a, a') (b, b')
without :: APrism s t a b -> APrism u v c d -> Prism (Either s u) (Either t v) (Either a c) (Either b d)
failing :: (Conjoined p, Applicative f) => Traversing p f s t a b -> Over p f s t a b -> Over p f s t a b
imapM :: (TraversableWithIndex i t, Monad m) => (i -> a -> m b) -> t a -> m (t b)
iforM :: (TraversableWithIndex i t, Monad m) => t a -> (i -> a -> m b) -> m (t b)
imapAccumR :: TraversableWithIndex i t => (i -> s -> a -> (s, b)) -> s -> t a -> (s, t b)
imapAccumL :: TraversableWithIndex i t => (i -> s -> a -> (s, b)) -> s -> t a -> (s, t b)
iany :: FoldableWithIndex i f => (i -> a -> Bool) -> f a -> Bool
iall :: FoldableWithIndex i f => (i -> a -> Bool) -> f a -> Bool
inone :: FoldableWithIndex i f => (i -> a -> Bool) -> f a -> Bool
itraverse_ :: (FoldableWithIndex i t, Applicative f) => (i -> a -> f b) -> t a -> f ()
ifor_ :: (FoldableWithIndex i t, Applicative f) => t a -> (i -> a -> f b) -> f ()
imapM_ :: (FoldableWithIndex i t, Monad m) => (i -> a -> m b) -> t a -> m ()
iforM_ :: (FoldableWithIndex i t, Monad m) => t a -> (i -> a -> m b) -> m ()
iconcatMap :: FoldableWithIndex i f => (i -> a -> [b]) -> f a -> [b]
ifind :: FoldableWithIndex i f => (i -> a -> Bool) -> f a -> Maybe (i, a)
ifoldrM :: (FoldableWithIndex i f, Monad m) => (i -> a -> b -> m b) -> b -> f a -> m b
ifoldlM :: (FoldableWithIndex i f, Monad m) => (i -> b -> a -> m b) -> b -> f a -> m b
itoList :: FoldableWithIndex i f => f a -> [(i, a)]
foldBy :: Foldable t => (a -> a -> a) -> a -> t a -> a
foldMapBy :: Foldable t => (r -> r -> r) -> r -> (a -> r) -> t a -> r
traverseBy :: Traversable t => (forall x. x -> f x) -> (forall x y. f (x -> y) -> f x -> f y) -> (a -> f b) -> t a -> f (t b)
sequenceBy :: Traversable t => (forall x. x -> f x) -> (forall x y. f (x -> y) -> f x -> f y) -> t (f a) -> f (t a)
indexing :: Indexable Int p => ((a -> Indexing f b) -> s -> Indexing f t) -> p a (f b) -> s -> f t
indexing64 :: Indexable Int64 p => ((a -> Indexing64 f b) -> s -> Indexing64 f t) -> p a (f b) -> s -> f t
asIndex :: (Indexable i p, Contravariant f, Functor f) => p i (f i) -> Indexed i s (f s)
retagged :: (Profunctor p, Bifunctor p) => p a b -> p s b
mapped :: forall (f :: Type -> Type) a b. Functor f => Setter (f a) (f b) a b
lifted :: forall (m :: Type -> Type) a b. Monad m => Setter (m a) (m b) a b
contramapped :: forall (f :: Type -> Type) b a. Contravariant f => Setter (f b) (f a) a b
setting :: ((a -> b) -> s -> t) -> IndexPreservingSetter s t a b
sets :: (Profunctor p, Profunctor q, Settable f) => (p a b -> q s t) -> Optical p q f s t a b
cloneSetter :: ASetter s t a b -> Setter s t a b
cloneIndexPreservingSetter :: ASetter s t a b -> IndexPreservingSetter s t a b
cloneIndexedSetter :: AnIndexedSetter i s t a b -> IndexedSetter i s t a b
set' :: ASetter' s a -> a -> s -> s
(<?~) :: ASetter s t a (Maybe b) -> b -> s -> (b, t)
assign :: MonadState s m => ASetter s s a b -> b -> m ()
modifying :: MonadState s m => ASetter s s a b -> (a -> b) -> m ()
(<~) :: MonadState s m => ASetter s s a b -> m b -> m ()
(<?=) :: MonadState s m => ASetter s s a (Maybe b) -> b -> m b
scribe :: (MonadWriter t m, Monoid s) => ASetter s t a b -> b -> m ()
passing :: MonadWriter w m => Setter w w u v -> m (a, u -> v) -> m a
ipassing :: MonadWriter w m => IndexedSetter i w w u v -> m (a, i -> u -> v) -> m a
censoring :: MonadWriter w m => Setter w w u v -> (u -> v) -> m a -> m a
icensoring :: MonadWriter w m => IndexedSetter i w w u v -> (i -> u -> v) -> m a -> m a
locally :: MonadReader s m => ASetter s s a b -> (a -> b) -> m r -> m r
ilocally :: MonadReader s m => AnIndexedSetter i s s a b -> (i -> a -> b) -> m r -> m r
iover :: AnIndexedSetter i s t a b -> (i -> a -> b) -> s -> t
iset :: AnIndexedSetter i s t a b -> (i -> b) -> s -> t
isets :: ((i -> a -> b) -> s -> t) -> IndexedSetter i s t a b
(.@~) :: AnIndexedSetter i s t a b -> (i -> b) -> s -> t
(%@=) :: MonadState s m => AnIndexedSetter i s s a b -> (i -> a -> b) -> m ()
imodifying :: MonadState s m => AnIndexedSetter i s s a b -> (i -> a -> b) -> m ()
(.@=) :: MonadState s m => AnIndexedSetter i s s a b -> (i -> b) -> m ()
assignA :: Arrow p => ASetter s t a b -> p s b -> p s t
mapOf :: ASetter s t a b -> (a -> b) -> s -> t
imapOf :: AnIndexedSetter i s t a b -> (i -> a -> b) -> s -> t
withLens :: forall s t a b (rep :: RuntimeRep) (r :: TYPE rep). ALens s t a b -> ((s -> a) -> (s -> b -> t) -> r) -> r
iplens :: (s -> a) -> (s -> b -> t) -> IndexPreservingLens s t a b
ilens :: (s -> (i, a)) -> (s -> b -> t) -> IndexedLens i s t a b
(&~) :: s -> State s a -> s
(%%~) :: forall {k} f s (t :: k) a (b :: k). LensLike f s t a b -> (a -> f b) -> s -> f t
(%%=) :: forall {k} s m p r (a :: k) b. MonadState s m => Over p ((,) r) s s a b -> p a (r, b) -> m r
(??) :: Functor f => f (a -> b) -> a -> f b
choosing :: Functor f => LensLike f s t a b -> LensLike f s' t' a b -> LensLike f (Either s s') (Either t t') a b
chosen :: forall a b p f. (Conjoined p, Functor f) => p a (f b) -> p (Either a a) (f (Either b b))
locus :: forall (p :: Type -> Type -> Type -> Type) a c s b. IndexedComonadStore p => Lens (p a c s) (p b c s) a b
cloneIndexPreservingLens :: ALens s t a b -> IndexPreservingLens s t a b
cloneIndexedLens :: AnIndexedLens i s t a b -> IndexedLens i s t a b
(<%~) :: LensLike ((,) b) s t a b -> (a -> b) -> s -> (b, t)
(<+~) :: Num a => LensLike ((,) a) s t a a -> a -> s -> (a, t)
(<-~) :: Num a => LensLike ((,) a) s t a a -> a -> s -> (a, t)
(<*~) :: Num a => LensLike ((,) a) s t a a -> a -> s -> (a, t)
(<//~) :: Fractional a => LensLike ((,) a) s t a a -> a -> s -> (a, t)
(<^~) :: (Num a, Integral e) => LensLike ((,) a) s t a a -> e -> s -> (a, t)
(<^^~) :: (Fractional a, Integral e) => LensLike ((,) a) s t a a -> e -> s -> (a, t)
(<**~) :: Floating a => LensLike ((,) a) s t a a -> a -> s -> (a, t)
(<||~) :: LensLike ((,) Bool) s t Bool Bool -> Bool -> s -> (Bool, t)
(<&&~) :: LensLike ((,) Bool) s t Bool Bool -> Bool -> s -> (Bool, t)
(<<%~) :: LensLike ((,) a) s t a b -> (a -> b) -> s -> (a, t)
(<<.~) :: LensLike ((,) a) s t a b -> b -> s -> (a, t)
(<<?~) :: LensLike ((,) a) s t a (Maybe b) -> b -> s -> (a, t)
(<<+~) :: Num a => LensLike' ((,) a) s a -> a -> s -> (a, s)
(<<-~) :: Num a => LensLike' ((,) a) s a -> a -> s -> (a, s)
(<<*~) :: Num a => LensLike' ((,) a) s a -> a -> s -> (a, s)
(<<//~) :: Fractional a => LensLike' ((,) a) s a -> a -> s -> (a, s)
(<<^~) :: (Num a, Integral e) => LensLike' ((,) a) s a -> e -> s -> (a, s)
(<<^^~) :: (Fractional a, Integral e) => LensLike' ((,) a) s a -> e -> s -> (a, s)
(<<**~) :: Floating a => LensLike' ((,) a) s a -> a -> s -> (a, s)
(<<||~) :: LensLike' ((,) Bool) s Bool -> Bool -> s -> (Bool, s)
(<<&&~) :: LensLike' ((,) Bool) s Bool -> Bool -> s -> (Bool, s)
(<<<>~) :: Semigroup r => LensLike' ((,) r) s r -> r -> s -> (r, s)
(<%=) :: MonadState s m => LensLike ((,) b) s s a b -> (a -> b) -> m b
(<+=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a
(<-=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a
(<*=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a
(<//=) :: (MonadState s m, Fractional a) => LensLike' ((,) a) s a -> a -> m a
(<^=) :: (MonadState s m, Num a, Integral e) => LensLike' ((,) a) s a -> e -> m a
(<^^=) :: (MonadState s m, Fractional a, Integral e) => LensLike' ((,) a) s a -> e -> m a
(<**=) :: (MonadState s m, Floating a) => LensLike' ((,) a) s a -> a -> m a
(<||=) :: MonadState s m => LensLike' ((,) Bool) s Bool -> Bool -> m Bool
(<&&=) :: MonadState s m => LensLike' ((,) Bool) s Bool -> Bool -> m Bool
(<<%=) :: (Strong p, MonadState s m) => Over p ((,) a) s s a b -> p a b -> m a
(<<.=) :: MonadState s m => LensLike ((,) a) s s a b -> b -> m a
(<<?=) :: MonadState s m => LensLike ((,) a) s s a (Maybe b) -> b -> m a
(<<+=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a
(<<-=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a
(<<*=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a
(<<//=) :: (MonadState s m, Fractional a) => LensLike' ((,) a) s a -> a -> m a
(<<^=) :: (MonadState s m, Num a, Integral e) => LensLike' ((,) a) s a -> e -> m a
(<<^^=) :: (MonadState s m, Fractional a, Integral e) => LensLike' ((,) a) s a -> e -> m a
(<<**=) :: (MonadState s m, Floating a) => LensLike' ((,) a) s a -> a -> m a
(<<||=) :: MonadState s m => LensLike' ((,) Bool) s Bool -> Bool -> m Bool
(<<&&=) :: MonadState s m => LensLike' ((,) Bool) s Bool -> Bool -> m Bool
(<<<>=) :: (MonadState s m, Semigroup r) => LensLike' ((,) r) s r -> r -> m r
(<<~) :: MonadState s m => ALens s s a b -> m b -> m b
(<<>~) :: Semigroup m => LensLike ((,) m) s t m m -> m -> s -> (m, t)
(<<>=) :: (MonadState s m, Semigroup r) => LensLike' ((,) r) s r -> r -> m r
overA :: Arrow ar => LensLike (Context a b) s t a b -> ar a b -> ar s t
(<%@~) :: Over (Indexed i) ((,) b) s t a b -> (i -> a -> b) -> s -> (b, t)
(<<%@~) :: Over (Indexed i) ((,) a) s t a b -> (i -> a -> b) -> s -> (a, t)
(%%@~) :: forall {k1} i f s (t :: k1) a (b :: k1). Over (Indexed i) f s t a b -> (i -> a -> f b) -> s -> f t
(%%@=) :: MonadState s m => Over (Indexed i) ((,) r) s s a b -> (i -> a -> (r, b)) -> m r
(<%@=) :: MonadState s m => Over (Indexed i) ((,) b) s s a b -> (i -> a -> b) -> m b
(<<%@=) :: MonadState s m => Over (Indexed i) ((,) a) s s a b -> (i -> a -> b) -> m a
(^#) :: s -> ALens s t a b -> a
storing :: ALens s t a b -> b -> s -> t
(#~) :: ALens s t a b -> b -> s -> t
(#%~) :: ALens s t a b -> (a -> b) -> s -> t
(#%%~) :: Functor f => ALens s t a b -> (a -> f b) -> s -> f t
(#=) :: MonadState s m => ALens s s a b -> b -> m ()
(#%=) :: MonadState s m => ALens s s a b -> (a -> b) -> m ()
(<#%~) :: ALens s t a b -> (a -> b) -> s -> (b, t)
(<#%=) :: MonadState s m => ALens s s a b -> (a -> b) -> m b
(#%%=) :: MonadState s m => ALens s s a b -> (a -> (r, b)) -> m r
(<#~) :: ALens s t a b -> b -> s -> (b, t)
(<#=) :: MonadState s m => ALens s s a b -> b -> m b
devoid :: forall {k} p f (a :: k) b. Over p f Void Void a b
united :: forall a f. Functor f => (() -> f ()) -> a -> f a
head1 :: forall (t :: Type -> Type) a. Traversable1 t => Lens' (t a) a
last1 :: forall (t :: Type -> Type) a. Traversable1 t => Lens' (t a) a
fusing :: Functor f => LensLike (Yoneda f) s t a b -> LensLike f s t a b
_1' :: Field1 s t a b => Lens s t a b
_2' :: Field2 s t a b => Lens s t a b
_3' :: Field3 s t a b => Lens s t a b
_4' :: Field4 s t a b => Lens s t a b
_5' :: Field5 s t a b => Lens s t a b
_6' :: Field6 s t a b => Lens s t a b
_7' :: Field7 s t a b => Lens s t a b
_8' :: Field8 s t a b => Lens s t a b
_9' :: Field9 s t a b => Lens s t a b
_10' :: Field10 s t a b => Lens s t a b
_11' :: Field11 s t a b => Lens s t a b
_12' :: Field12 s t a b => Lens s t a b
_13' :: Field13 s t a b => Lens s t a b
_14' :: Field14 s t a b => Lens s t a b
_15' :: Field15 s t a b => Lens s t a b
_16' :: Field16 s t a b => Lens s t a b
_17' :: Field17 s t a b => Lens s t a b
_18' :: Field18 s t a b => Lens s t a b
_19' :: Field19 s t a b => Lens s t a b
ito :: (Indexable i p, Contravariant f) => (s -> (i, a)) -> Over' p f s a
like :: (Profunctor p, Contravariant f, Functor f) => a -> Optic' p f s a
ilike :: (Indexable i p, Contravariant f, Functor f) => i -> a -> Over' p f s a
views :: MonadReader s m => LensLike' (Const r :: Type -> Type) s a -> (a -> r) -> m r
uses :: MonadState s m => LensLike' (Const r :: Type -> Type) s a -> (a -> r) -> m r
listening :: MonadWriter w m => Getting u w u -> m a -> m (a, u)
ilistening :: MonadWriter w m => IndexedGetting i (i, u) w u -> m a -> m (a, (i, u))
listenings :: MonadWriter w m => Getting v w u -> (u -> v) -> m a -> m (a, v)
ilistenings :: MonadWriter w m => IndexedGetting i v w u -> (i -> u -> v) -> m a -> m (a, v)
iview :: MonadReader s m => IndexedGetting i (i, a) s a -> m (i, a)
iviews :: MonadReader s m => IndexedGetting i r s a -> (i -> a -> r) -> m r
iuse :: MonadState s m => IndexedGetting i (i, a) s a -> m (i, a)
iuses :: MonadState s m => IndexedGetting i r s a -> (i -> a -> r) -> m r
(^@.) :: s -> IndexedGetting i (i, a) s a -> (i, a)
getting :: (Profunctor p, Profunctor q, Functor f, Contravariant f) => Optical p q f s t a b -> Optical' p q f s a
unto :: (Profunctor p, Bifunctor p, Functor f) => (b -> t) -> Optic p f s t a b
un :: (Profunctor p, Bifunctor p, Functor f) => Getting a s a -> Optic' p f a s
reviews :: MonadReader b m => AReview t b -> (t -> r) -> m r
reuse :: MonadState b m => AReview t b -> m t
reuses :: MonadState b m => AReview t b -> (t -> r) -> m r
reviewing :: (Bifunctor p, Functor f) => Optic (Tagged :: Type -> Type -> Type) Identity s t a b -> Optic' p f t b
withPrism :: APrism s t a b -> ((b -> t) -> (s -> Either t a) -> r) -> r
clonePrism :: APrism s t a b -> Prism s t a b
prism' :: (b -> s) -> (s -> Maybe a) -> Prism s s a b
aside :: APrism s t a b -> Prism (e, s) (e, t) (e, a) (e, b)
below :: forall (f :: Type -> Type) s a. Traversable f => APrism' s a -> Prism' (f s) (f a)
isn't :: APrism s t a b -> s -> Bool
matching' :: LensLike (Either a) s t a b -> s -> Either t a
_Right :: forall c a b p f. (Choice p, Applicative f) => p a (f b) -> p (Either c a) (f (Either c b))
_Just :: forall a b p f. (Choice p, Applicative f) => p a (f b) -> p (Maybe a) (f (Maybe b))
_Nothing :: forall a p f. (Choice p, Applicative f) => p () (f ()) -> p (Maybe a) (f (Maybe a))
_Void :: forall s a p f. (Choice p, Applicative f) => p a (f Void) -> p s (f s)
only :: Eq a => a -> Prism' a ()
nearly :: a -> (a -> Bool) -> Prism' a ()
_Show :: (Read a, Show a) => Prism' String a
folding :: Foldable f => (s -> f a) -> Fold s a
ifolding :: (Foldable f, Indexable i p, Contravariant g, Applicative g) => (s -> f (i, a)) -> Over p g s t a b
foldring :: (Contravariant f, Applicative f) => ((a -> f a -> f a) -> f a -> s -> f a) -> LensLike f s t a b
ifoldring :: (Indexable i p, Contravariant f, Applicative f) => ((i -> a -> f a -> f a) -> f a -> s -> f a) -> Over p f s t a b
folded64 :: forall (f :: Type -> Type) a. Foldable f => IndexedFold Int64 (f a) a
repeated :: Apply f => LensLike' f a a
replicated :: Int -> Fold a a
cycled :: Apply f => LensLike f s t a b -> LensLike f s t a b
unfolded :: (b -> Maybe (a, b)) -> Fold b a
iterated :: Apply f => (a -> a) -> LensLike' f a a
filtered :: (Choice p, Applicative f) => (a -> Bool) -> Optic' p f a a
filteredBy :: (Indexable i p, Applicative f) => Getting (First i) a i -> p a (f a) -> a -> f a
takingWhile :: (Conjoined p, Applicative f) => (a -> Bool) -> Over p (TakingWhile p f a a) s t a a -> Over p f s t a a
droppingWhile :: (Conjoined p, Profunctor q, Applicative f) => (a -> Bool) -> Optical p q (Compose (State Bool) f) s t a a -> Optical p q f s t a a
worded :: forall (f :: Type -> Type). Applicative f => IndexedLensLike' Int f String String
lined :: forall (f :: Type -> Type). Applicative f => IndexedLensLike' Int f String String
foldOf :: Getting a s a -> s -> a
foldrOf :: Getting (Endo r) s a -> (a -> r -> r) -> r -> s -> r
foldlOf :: Getting (Dual (Endo r)) s a -> (r -> a -> r) -> r -> s -> r
toListOf :: Getting (Endo [a]) s a -> s -> [a]
toNonEmptyOf :: Getting (NonEmptyDList a) s a -> s -> NonEmpty a
altOf :: Applicative f => Getting (Alt f a) s a -> s -> f a
(^..) :: s -> Getting (Endo [a]) s a -> [a]
andOf :: Getting All s Bool -> s -> Bool
orOf :: Getting Any s Bool -> s -> Bool
allOf :: Getting All s a -> (a -> Bool) -> s -> Bool
noneOf :: Getting Any s a -> (a -> Bool) -> s -> Bool
productOf :: Num a => Getting (Endo (Endo a)) s a -> s -> a
sumOf :: Num a => Getting (Endo (Endo a)) s a -> s -> a
forOf_ :: Functor f => Getting (Traversed r f) s a -> s -> (a -> f r) -> f ()
sequenceAOf_ :: Functor f => Getting (Traversed a f) s (f a) -> s -> f ()
for1Of_ :: Functor f => Getting (TraversedF r f) s a -> s -> (a -> f r) -> f ()
sequence1Of_ :: Functor f => Getting (TraversedF a f) s (f a) -> s -> f ()
mapMOf_ :: Monad m => Getting (Sequenced r m) s a -> (a -> m r) -> s -> m ()
forMOf_ :: Monad m => Getting (Sequenced r m) s a -> s -> (a -> m r) -> m ()
sequenceOf_ :: Monad m => Getting (Sequenced a m) s (m a) -> s -> m ()
asumOf :: Alternative f => Getting (Endo (f a)) s (f a) -> s -> f a
msumOf :: MonadPlus m => Getting (Endo (m a)) s (m a) -> s -> m a
elemOf :: Eq a => Getting Any s a -> a -> s -> Bool
notElemOf :: Eq a => Getting All s a -> a -> s -> Bool
concatMapOf :: Getting [r] s a -> (a -> [r]) -> s -> [r]
concatOf :: Getting [r] s [r] -> s -> [r]
(^?!) :: HasCallStack => s -> Getting (Endo a) s a -> a
first1Of :: Getting (First a) s a -> s -> a
last1Of :: Getting (Last a) s a -> s -> a
nullOf :: Getting All s a -> s -> Bool
notNullOf :: Getting Any s a -> s -> Bool
maximumOf :: Ord a => Getting (Endo (Endo (Maybe a))) s a -> s -> Maybe a
maximum1Of :: Ord a => Getting (Max a) s a -> s -> a
minimumOf :: Ord a => Getting (Endo (Endo (Maybe a))) s a -> s -> Maybe a
minimum1Of :: Ord a => Getting (Min a) s a -> s -> a
maximumByOf :: Getting (Endo (Endo (Maybe a))) s a -> (a -> a -> Ordering) -> s -> Maybe a
minimumByOf :: Getting (Endo (Endo (Maybe a))) s a -> (a -> a -> Ordering) -> s -> Maybe a
findOf :: Getting (Endo (Maybe a)) s a -> (a -> Bool) -> s -> Maybe a
findMOf :: Monad m => Getting (Endo (m (Maybe a))) s a -> (a -> m Bool) -> s -> m (Maybe a)
lookupOf :: Eq k => Getting (Endo (Maybe v)) s (k, v) -> k -> s -> Maybe v
foldr1Of :: HasCallStack => Getting (Endo (Maybe a)) s a -> (a -> a -> a) -> s -> a
foldl1Of :: HasCallStack => Getting (Dual (Endo (Maybe a))) s a -> (a -> a -> a) -> s -> a
foldrOf' :: Getting (Dual (Endo (Endo r))) s a -> (a -> r -> r) -> r -> s -> r
foldlOf' :: Getting (Endo (Endo r)) s a -> (r -> a -> r) -> r -> s -> r
foldr1Of' :: HasCallStack => Getting (Dual (Endo (Endo (Maybe a)))) s a -> (a -> a -> a) -> s -> a
foldl1Of' :: HasCallStack => Getting (Endo (Endo (Maybe a))) s a -> (a -> a -> a) -> s -> a
foldrMOf :: Monad m => Getting (Dual (Endo (r -> m r))) s a -> (a -> r -> m r) -> r -> s -> m r
foldlMOf :: Monad m => Getting (Endo (r -> m r)) s a -> (r -> a -> m r) -> r -> s -> m r
has :: Getting Any s a -> s -> Bool
hasn't :: Getting All s a -> s -> Bool
pre :: Getting (First a) s a -> IndexPreservingGetter s (Maybe a)
ipre :: IndexedGetting i (First (i, a)) s a -> IndexPreservingGetter s (Maybe (i, a))
ipreview :: MonadReader s m => IndexedGetting i (First (i, a)) s a -> m (Maybe (i, a))
previews :: MonadReader s m => Getting (First r) s a -> (a -> r) -> m (Maybe r)
ipreviews :: MonadReader s m => IndexedGetting i (First r) s a -> (i -> a -> r) -> m (Maybe r)
preuse :: MonadState s m => Getting (First a) s a -> m (Maybe a)
ipreuse :: MonadState s m => IndexedGetting i (First (i, a)) s a -> m (Maybe (i, a))
preuses :: MonadState s m => Getting (First r) s a -> (a -> r) -> m (Maybe r)
ipreuses :: MonadState s m => IndexedGetting i (First r) s a -> (i -> a -> r) -> m (Maybe r)
ifoldrOf :: IndexedGetting i (Endo r) s a -> (i -> a -> r -> r) -> r -> s -> r
ifoldlOf :: IndexedGetting i (Dual (Endo r)) s a -> (i -> r -> a -> r) -> r -> s -> r
ianyOf :: IndexedGetting i Any s a -> (i -> a -> Bool) -> s -> Bool
iallOf :: IndexedGetting i All s a -> (i -> a -> Bool) -> s -> Bool
inoneOf :: IndexedGetting i Any s a -> (i -> a -> Bool) -> s -> Bool
itraverseOf_ :: Functor f => IndexedGetting i (Traversed r f) s a -> (i -> a -> f r) -> s -> f ()
iforOf_ :: Functor f => IndexedGetting i (Traversed r f) s a -> s -> (i -> a -> f r) -> f ()
imapMOf_ :: Monad m => IndexedGetting i (Sequenced r m) s a -> (i -> a -> m r) -> s -> m ()
iforMOf_ :: Monad m => IndexedGetting i (Sequenced r m) s a -> s -> (i -> a -> m r) -> m ()
iconcatMapOf :: IndexedGetting i [r] s a -> (i -> a -> [r]) -> s -> [r]
ifindOf :: IndexedGetting i (Endo (Maybe a)) s a -> (i -> a -> Bool) -> s -> Maybe a
ifindMOf :: Monad m => IndexedGetting i (Endo (m (Maybe a))) s a -> (i -> a -> m Bool) -> s -> m (Maybe a)
ifoldrOf' :: IndexedGetting i (Dual (Endo (r -> r))) s a -> (i -> a -> r -> r) -> r -> s -> r
ifoldlOf' :: IndexedGetting i (Endo (r -> r)) s a -> (i -> r -> a -> r) -> r -> s -> r
ifoldrMOf :: Monad m => IndexedGetting i (Dual (Endo (r -> m r))) s a -> (i -> a -> r -> m r) -> r -> s -> m r
ifoldlMOf :: Monad m => IndexedGetting i (Endo (r -> m r)) s a -> (i -> r -> a -> m r) -> r -> s -> m r
itoListOf :: IndexedGetting i (Endo [(i, a)]) s a -> s -> [(i, a)]
(^@..) :: s -> IndexedGetting i (Endo [(i, a)]) s a -> [(i, a)]
(^@?) :: s -> IndexedGetting i (Endo (Maybe (i, a))) s a -> Maybe (i, a)
(^@?!) :: HasCallStack => s -> IndexedGetting i (Endo (i, a)) s a -> (i, a)
elemIndexOf :: Eq a => IndexedGetting i (First i) s a -> a -> s -> Maybe i
elemIndicesOf :: Eq a => IndexedGetting i (Endo [i]) s a -> a -> s -> [i]
findIndexOf :: IndexedGetting i (First i) s a -> (a -> Bool) -> s -> Maybe i
findIndicesOf :: IndexedGetting i (Endo [i]) s a -> (a -> Bool) -> s -> [i]
ifiltered :: (Indexable i p, Applicative f) => (i -> a -> Bool) -> Optical' p (Indexed i) f a a
itakingWhile :: (Indexable i p, Profunctor q, Contravariant f, Applicative f) => (i -> a -> Bool) -> Optical' (Indexed i) q (Const (Endo (f s)) :: Type -> Type) s a -> Optical' p q f s a
idroppingWhile :: (Indexable i p, Profunctor q, Applicative f) => (i -> a -> Bool) -> Optical (Indexed i) q (Compose (State Bool) f) s t a a -> Optical p q f s t a a
foldByOf :: Fold s a -> (a -> a -> a) -> a -> s -> a
foldMapByOf :: Fold s a -> (r -> r -> r) -> r -> (a -> r) -> s -> r
traversal :: ((a -> f b) -> s -> f t) -> LensLike f s t a b
sequenceAOf :: LensLike f s t (f b) b -> s -> f t
mapMOf :: LensLike (WrappedMonad m) s t a b -> (a -> m b) -> s -> m t
forMOf :: LensLike (WrappedMonad m) s t a b -> s -> (a -> m b) -> m t
sequenceOf :: LensLike (WrappedMonad m) s t (m b) b -> s -> m t
transposeOf :: LensLike ZipList s t [a] a -> s -> [t]
mapAccumROf :: LensLike (Backwards (State acc)) s t a b -> (acc -> a -> (acc, b)) -> acc -> s -> (acc, t)
mapAccumLOf :: LensLike (State acc) s t a b -> (acc -> a -> (acc, b)) -> acc -> s -> (acc, t)
scanr1Of :: LensLike (Backwards (State (Maybe a))) s t a a -> (a -> a -> a) -> s -> t
scanl1Of :: LensLike (State (Maybe a)) s t a a -> (a -> a -> a) -> s -> t
loci :: forall a c s b f. Applicative f => (a -> f b) -> Bazaar (->) a c s -> f (Bazaar (->) b c s)
iloci :: forall i a c s b p f. (Indexable i p, Applicative f) => p a (f b) -> Bazaar (Indexed i) a c s -> f (Bazaar (Indexed i) b c s)
partsOf :: Functor f => Traversing (->) f s t a a -> LensLike f s t [a] [a]
ipartsOf :: (Indexable [i] p, Functor f) => Traversing (Indexed i) f s t a a -> Over p f s t [a] [a]
partsOf' :: ATraversal s t a a -> Lens s t [a] [a]
ipartsOf' :: forall i p f s t a. (Indexable [i] p, Functor f) => Over (Indexed i) (Bazaar' (Indexed i) a) s t a a -> Over p f s t [a] [a]
unsafePartsOf :: Functor f => Traversing (->) f s t a b -> LensLike f s t [a] [b]
iunsafePartsOf :: (Indexable [i] p, Functor f) => Traversing (Indexed i) f s t a b -> Over p f s t [a] [b]
unsafePartsOf' :: ATraversal s t a b -> Lens s t [a] [b]
iunsafePartsOf' :: forall i s t a b. Over (Indexed i) (Bazaar (Indexed i) a b) s t a b -> IndexedLens [i] s t [a] [b]
unsafeSingular :: (HasCallStack, Conjoined p, Functor f) => Traversing p f s t a b -> Over p f s t a b
holesOf :: Conjoined p => Over p (Bazaar p a a) s t a a -> s -> [Pretext p a a t]
holes1Of :: Conjoined p => Over p (Bazaar1 p a a) s t a a -> s -> NonEmpty (Pretext p a a t)
both :: forall (r :: Type -> Type -> Type) a b. Bitraversable r => Traversal (r a a) (r b b) a b
both1 :: forall (r :: Type -> Type -> Type) a b. Bitraversable1 r => Traversal1 (r a a) (r b b) a b
cloneIndexPreservingTraversal :: ATraversal s t a b -> IndexPreservingTraversal s t a b
cloneIndexedTraversal :: AnIndexedTraversal i s t a b -> IndexedTraversal i s t a b
cloneTraversal1 :: ATraversal1 s t a b -> Traversal1 s t a b
cloneIndexPreservingTraversal1 :: ATraversal1 s t a b -> IndexPreservingTraversal1 s t a b
cloneIndexedTraversal1 :: AnIndexedTraversal1 i s t a b -> IndexedTraversal1 i s t a b
iforOf :: (Indexed i a (f b) -> s -> f t) -> s -> (i -> a -> f b) -> f t
imapAccumROf :: Over (Indexed i) (Backwards (State acc)) s t a b -> (i -> acc -> a -> (acc, b)) -> acc -> s -> (acc, t)
imapAccumLOf :: Over (Indexed i) (State acc) s t a b -> (i -> acc -> a -> (acc, b)) -> acc -> s -> (acc, t)
traversed1 :: forall (f :: Type -> Type) a b. Traversable1 f => IndexedTraversal1 Int (f a) (f b) a b
traversed64 :: forall (f :: Type -> Type) a b. Traversable f => IndexedTraversal Int64 (f a) (f b) a b
ignored :: Applicative f => pafb -> s -> f s
elementOf :: forall (f :: Type -> Type) s t a. Applicative f => LensLike (Indexing f) s t a a -> Int -> IndexedLensLike Int f s t a a
element :: forall (t :: Type -> Type) a. Traversable t => Int -> IndexedTraversal' Int (t a) a
elementsOf :: forall (f :: Type -> Type) s t a. Applicative f => LensLike (Indexing f) s t a a -> (Int -> Bool) -> IndexedLensLike Int f s t a a
elements :: forall (t :: Type -> Type) a. Traversable t => (Int -> Bool) -> IndexedTraversal' Int (t a) a
failover :: Alternative m => LensLike ((,) Any) s t a b -> (a -> b) -> s -> m t
ifailover :: Alternative m => Over (Indexed i) ((,) Any) s t a b -> (i -> a -> b) -> s -> m t
deepOf :: (Conjoined p, Applicative f) => LensLike f s t s t -> Traversing p f s t a b -> Over p f s t a b
confusing :: Applicative f => LensLike (Curried (Yoneda f) (Yoneda f)) s t a b -> LensLike f s t a b
traverseByOf :: Traversal s t a b -> (forall x. x -> f x) -> (forall x y. f (x -> y) -> f x -> f y) -> (a -> f b) -> s -> f t
sequenceByOf :: Traversal s t (f b) b -> (forall x. x -> f x) -> (forall x y. f (x -> y) -> f x -> f y) -> s -> f t
ilevels :: forall (f :: Type -> Type) i s t a b j. Applicative f => Traversing (Indexed i) f s t a b -> IndexedLensLike Int f s t (Level i a) (Level j b)
(<.) :: Indexable i p => (Indexed i s t -> r) -> ((a -> b) -> s -> t) -> p a b -> r
selfIndex :: Indexable a p => p a fb -> a -> fb
reindexed :: Indexable j p => (i -> j) -> (Indexed i a b -> r) -> p a b -> r
icompose :: Indexable p c => (i -> j -> p) -> (Indexed i s t -> r) -> (Indexed j a b -> s -> t) -> c a b -> r
imapped :: forall i (f :: Type -> Type) a b. FunctorWithIndex i f => IndexedSetter i (f a) (f b) a b
ifolded :: forall i (f :: Type -> Type) a. FoldableWithIndex i f => IndexedFold i (f a) a
itraversed :: forall i (t :: Type -> Type) a b. TraversableWithIndex i t => IndexedTraversal i (t a) (t b) a b
ifoldMapBy :: FoldableWithIndex i t => (r -> r -> r) -> r -> (i -> a -> r) -> t a -> r
ifoldMapByOf :: IndexedFold i t a -> (r -> r -> r) -> r -> (i -> a -> r) -> t -> r
itraverseBy :: TraversableWithIndex i t => (forall x. x -> f x) -> (forall x y. f (x -> y) -> f x -> f y) -> (i -> a -> f b) -> t a -> f (t b)
itraverseByOf :: IndexedTraversal i s t a b -> (forall x. x -> f x) -> (forall x y. f (x -> y) -> f x -> f y) -> (i -> a -> f b) -> s -> f t
runEq :: forall {k1} {k2} (s :: k1) (t :: k2) (a :: k1) (b :: k2). AnEquality s t a b -> Identical s t a b
substEq :: forall {k1} {k2} (s :: k1) (t :: k2) (a :: k1) (b :: k2) (rep :: RuntimeRep) (r :: TYPE rep). AnEquality s t a b -> ((s ~ a, t ~ b) => r) -> r
mapEq :: forall k1 k2 (s :: k1) (t :: k2) (a :: k1) (b :: k2) f. AnEquality s t a b -> f s -> f a
fromEq :: forall {k2} {k1} (s :: k2) (t :: k1) (a :: k2) (b :: k1). AnEquality s t a b -> Equality b a t s
simply :: forall {k} {k1} p (f :: k -> k1) (s :: k) (a :: k) (rep :: RuntimeRep) (r :: TYPE rep). (Optic' p f s a -> r) -> Optic' p f s a -> r
simple :: forall {k2} (a :: k2) k3 p (f :: k2 -> k3). p a (f a) -> p a (f a)
cloneEquality :: forall {k1} {k2} (s :: k1) (t :: k2) (a :: k1) (b :: k2). AnEquality s t a b -> Equality s t a b
equality :: forall {k1} {k2} (s :: k1) (a :: k1) (b :: k2) (t :: k2). (s :~: a) -> (b :~: t) -> Equality s t a b
equality' :: forall {k2} (a :: k2) (b :: k2). (a :~: b) -> Equality' a b
overEquality :: forall {k1} {k2} (s :: k1) (t :: k2) (a :: k1) (b :: k2) p. AnEquality s t a b -> p a b -> p s t
underEquality :: forall {k1} {k2} (s :: k1) (t :: k2) (a :: k1) (b :: k2) p. AnEquality s t a b -> p t s -> p b a
fromLeibniz :: forall {k1} {k2} (a :: k1) (b :: k2) (s :: k1) (t :: k2). (Identical a b a b -> Identical a b s t) -> Equality s t a b
fromLeibniz' :: forall {k2} (s :: k2) (a :: k2). ((s :~: s) -> s :~: a) -> Equality' s a
withEquality :: forall {k1} {k2} (s :: k1) (t :: k2) (a :: k1) (b :: k2) (rep :: RuntimeRep) (r :: TYPE rep). AnEquality s t a b -> ((s :~: a) -> (b :~: t) -> r) -> r
iso :: (s -> a) -> (b -> t) -> Iso s t a b
withIso :: forall s t a b (rep :: RuntimeRep) (r :: TYPE rep). AnIso s t a b -> ((s -> a) -> (b -> t) -> r) -> r
cloneIso :: AnIso s t a b -> Iso s t a b
au :: Functor f => AnIso s t a b -> ((b -> t) -> f s) -> f a
auf :: (Functor f, Functor g) => AnIso s t a b -> (f t -> g s) -> f b -> g a
xplat :: forall {k2} s g (t :: k2) a (b :: k2). Optic (Costar ((->) s)) g s t a b -> ((s -> a) -> g b) -> g t
xplatf :: forall {k} {k2} f g (s :: k) (t :: k2) (a :: k) (b :: k2). Optic (Costar f) g s t a b -> (f a -> g b) -> f s -> g t
under :: AnIso s t a b -> (t -> s) -> b -> a
enum :: Enum a => Iso' Int a
mapping :: forall (f :: Type -> Type) (g :: Type -> Type) s t a b. (Functor f, Functor g) => AnIso s t a b -> Iso (f s) (g t) (f a) (g b)
non :: Eq a => a -> Iso' (Maybe a) a
non' :: APrism' a () -> Iso' (Maybe a) a
anon :: a -> (a -> Bool) -> Iso' (Maybe a) a
curried :: forall a b c d e f1 p f2. (Profunctor p, Functor f2) => p (a -> b -> c) (f2 (d -> e -> f1)) -> p ((a, b) -> c) (f2 ((d, e) -> f1))
uncurried :: forall a b c d e f1 p f2. (Profunctor p, Functor f2) => p ((a, b) -> c) (f2 ((d, e) -> f1)) -> p (a -> b -> c) (f2 (d -> e -> f1))
flipped :: forall a b c a' b' c' p f. (Profunctor p, Functor f) => p (b -> a -> c) (f (b' -> a' -> c')) -> p (a -> b -> c) (f (a' -> b' -> c'))
swapped :: forall (p :: Type -> Type -> Type) a b c d. Swap p => Iso (p a b) (p c d) (p b a) (p d c)
reversed :: Reversing a => Iso' a a
involuted :: (a -> a) -> Iso' a a
magma :: LensLike (Mafic a b) s t a b -> Iso s u (Magma Int t b a) (Magma j u c c)
imagma :: Over (Indexed i) (Molten i a b) s t a b -> Iso s t' (Magma i t b a) (Magma j t' c c)
contramapping :: forall (f :: Type -> Type) s t a b. Contravariant f => AnIso s t a b -> Iso (f a) (f b) (f s) (f t)
dimapping :: forall (p :: Type -> Type -> Type) (q :: Type -> Type -> Type) s t a b s' t' a' b'. (Profunctor p, Profunctor q) => AnIso s t a b -> AnIso s' t' a' b' -> Iso (p a s') (q b t') (p s a') (q t b')
lmapping :: forall (p :: Type -> Type -> Type) (q :: Type -> Type -> Type) s t a b x y. (Profunctor p, Profunctor q) => AnIso s t a b -> Iso (p a x) (q b y) (p s x) (q t y)
rmapping :: forall (p :: Type -> Type -> Type) (q :: Type -> Type -> Type) s t a b x y. (Profunctor p, Profunctor q) => AnIso s t a b -> Iso (p x s) (q y t) (p x a) (q y b)
bimapping :: forall (f :: Type -> Type -> Type) (g :: Type -> Type -> Type) s t a b s' t' a' b'. (Bifunctor f, Bifunctor g) => AnIso s t a b -> AnIso s' t' a' b' -> Iso (f s s') (g t t') (f a a') (g b b')
firsting :: forall (f :: Type -> Type -> Type) (g :: Type -> Type -> Type) s t a b x y. (Bifunctor f, Bifunctor g) => AnIso s t a b -> Iso (f s x) (g t y) (f a x) (g b y)
seconding :: forall (f :: Type -> Type -> Type) (g :: Type -> Type -> Type) s t a b x y. (Bifunctor f, Bifunctor g) => AnIso s t a b -> Iso (f x s) (g y t) (f x a) (g y b)
coerced :: forall s t a b. (Coercible s a, Coercible t b) => Iso s t a b
_head :: Cons s s a a => Traversal' s a
_tail :: Cons s s a a => Traversal' s s
_init :: Snoc s s a a => Traversal' s s
_last :: Snoc s s a a => Traversal' s a
_GWrapped' :: forall s (d :: Meta) (c :: Meta) (s' :: Meta) a. (Generic s, D1 d (C1 c (S1 s' (Rec0 a))) ~ Rep s, Unwrapped s ~ GUnwrapped (Rep s)) => Iso' s (Unwrapped s)
_Unwrapped' :: Wrapped s => Iso' (Unwrapped s) s
_Wrapped :: Rewrapping s t => Iso s t (Unwrapped s) (Unwrapped t)
_Unwrapped :: Rewrapping s t => Iso (Unwrapped t) (Unwrapped s) t s
op :: Wrapped s => (Unwrapped s -> s) -> s -> Unwrapped s
_Wrapping' :: Wrapped s => (Unwrapped s -> s) -> Iso' s (Unwrapped s)
_Unwrapping' :: Wrapped s => (Unwrapped s -> s) -> Iso' (Unwrapped s) s
_Wrapping :: Rewrapping s t => (Unwrapped s -> s) -> Iso s t (Unwrapped s) (Unwrapped t)
_Unwrapping :: Rewrapping s t => (Unwrapped s -> s) -> Iso (Unwrapped t) (Unwrapped s) t s
deep :: (Conjoined p, Applicative f, Plated s) => Traversing p f s s a b -> Over p f s s a b
rewrite :: Plated a => (a -> Maybe a) -> a -> a
rewriteOf :: ASetter a b a b -> (b -> Maybe a) -> a -> b
rewriteOn :: Plated a => ASetter s t a a -> (a -> Maybe a) -> s -> t
rewriteOnOf :: ASetter s t a b -> ASetter a b a b -> (b -> Maybe a) -> s -> t
rewriteM :: (Monad m, Plated a) => (a -> m (Maybe a)) -> a -> m a
rewriteMOf :: Monad m => LensLike (WrappedMonad m) a b a b -> (b -> m (Maybe a)) -> a -> m b
rewriteMOn :: (Monad m, Plated a) => LensLike (WrappedMonad m) s t a a -> (a -> m (Maybe a)) -> s -> m t
rewriteMOnOf :: Monad m => LensLike (WrappedMonad m) s t a b -> LensLike (WrappedMonad m) a b a b -> (b -> m (Maybe a)) -> s -> m t
universe :: Plated a => a -> [a]
universeOf :: Getting (Endo [a]) a a -> a -> [a]
universeOn :: Plated a => Getting (Endo [a]) s a -> s -> [a]
universeOnOf :: Getting (Endo [a]) s a -> Getting (Endo [a]) a a -> s -> [a]
cosmos :: Plated a => Fold a a
cosmosOf :: (Applicative f, Contravariant f) => LensLike' f a a -> LensLike' f a a
cosmosOn :: (Applicative f, Contravariant f, Plated a) => LensLike' f s a -> LensLike' f s a
cosmosOnOf :: (Applicative f, Contravariant f) => LensLike' f s a -> LensLike' f a a -> LensLike' f s a
transformOn :: Plated a => ASetter s t a a -> (a -> a) -> s -> t
transformOf :: ASetter a b a b -> (b -> b) -> a -> b
transformOnOf :: ASetter s t a b -> ASetter a b a b -> (b -> b) -> s -> t
transformM :: (Monad m, Plated a) => (a -> m a) -> a -> m a
transformMOn :: (Monad m, Plated a) => LensLike (WrappedMonad m) s t a a -> (a -> m a) -> s -> m t
transformMOf :: Monad m => LensLike (WrappedMonad m) a b a b -> (b -> m b) -> a -> m b
transformMOnOf :: Monad m => LensLike (WrappedMonad m) s t a b -> LensLike (WrappedMonad m) a b a b -> (b -> m b) -> s -> m t
contexts :: Plated a => a -> [Context a a a]
contextsOn :: Plated a => ATraversal s t a a -> s -> [Context a a t]
contextsOnOf :: ATraversal s t a a -> ATraversal' a a -> s -> [Context a a t]
holes :: Plated a => a -> [Pretext (->) a a a]
holesOn :: Conjoined p => Over p (Bazaar p a a) s t a a -> s -> [Pretext p a a t]
holesOnOf :: Conjoined p => LensLike (Bazaar p r r) s t a b -> Over p (Bazaar p r r) a b r r -> s -> [Pretext p r r t]
paraOf :: Getting (Endo [a]) a a -> (a -> [r] -> r) -> a -> r
para :: Plated a => (a -> [r] -> r) -> a -> r
composOpFold :: Plated a => b -> (b -> b -> b) -> (a -> b) -> a -> b
parts :: Plated a => Lens' a [a]
gplate :: (Generic a, GPlated a (Rep a)) => Traversal' a a
gplate1 :: forall {k} (f :: k -> Type) (a :: k). (Generic1 f, GPlated1 f (Rep1 f)) => Traversal' (f a) (f a)
icontains :: Contains m => Index m -> IndexedLens' (Index m) m Bool
iix :: Ixed m => Index m -> IndexedTraversal' (Index m) m (IxValue m)
ixAt :: At m => Index m -> Traversal' m (IxValue m)
sans :: At m => Index m -> m -> m
iat :: At m => Index m -> IndexedLens' (Index m) m (Maybe (IxValue m))
makePrisms :: Name -> DecsQ
makeClassyPrisms :: Name -> DecsQ
simpleLenses :: Lens' LensRules Bool
generateSignatures :: Lens' LensRules Bool
generateUpdateableOptics :: Lens' LensRules Bool
generateLazyPatterns :: Lens' LensRules Bool
generateRecordSyntax :: Lens' LensRules Bool
createClass :: Lens' LensRules Bool
lensField :: Lens' LensRules FieldNamer
lensClass :: Lens' LensRules ClassyNamer
lensRules :: LensRules
underscoreNoPrefixNamer :: FieldNamer
lensRulesFor :: [(String, String)] -> LensRules
lookingupNamer :: [(String, String)] -> FieldNamer
mappingNamer :: (String -> [String]) -> FieldNamer
classyRules :: LensRules
classyRules_ :: LensRules
makeLenses :: Name -> DecsQ
makeClassy :: Name -> DecsQ
makeClassy_ :: Name -> DecsQ
makeLensesFor :: [(String, String)] -> Name -> DecsQ
makeClassyFor :: String -> String -> [(String, String)] -> Name -> DecsQ
makeLensesWith :: LensRules -> Name -> DecsQ
declareLenses :: DecsQ -> DecsQ
declareLensesFor :: [(String, String)] -> DecsQ -> DecsQ
declareClassy :: DecsQ -> DecsQ
declareClassyFor :: [(String, (String, String))] -> [(String, String)] -> DecsQ -> DecsQ
declarePrisms :: DecsQ -> DecsQ
declareWrapped :: DecsQ -> DecsQ
declareFields :: DecsQ -> DecsQ
declareLensesWith :: LensRules -> DecsQ -> DecsQ
makeWrapped :: Name -> DecsQ
underscoreFields :: LensRules
underscoreNamer :: FieldNamer
camelCaseFields :: LensRules
camelCaseNamer :: FieldNamer
classUnderscoreNoPrefixFields :: LensRules
classUnderscoreNoPrefixNamer :: FieldNamer
abbreviatedFields :: LensRules
abbreviatedNamer :: FieldNamer
makeFields :: Name -> DecsQ
makeFieldsNoPrefix :: Name -> DecsQ
defaultFieldRules :: LensRules
class Functor f => Applicative (f :: Type -> Type) where
- pure :: a -> f a
- (<*>) :: f (a -> b) -> f a -> f b
- liftA2 :: (a -> b -> c) -> f a -> f b -> f c
- (*>) :: f a -> f b -> f b
- (<*) :: f a -> f b -> f a
(*>) :: Applicative f => f a -> f b -> f b
(<*) :: Applicative f => f a -> f b -> f a
(<$>) :: Functor f => (a -> b) -> f a -> f b
(<$) :: Functor f => a -> f b -> f a
liftA :: Applicative f => (a -> b) -> f a -> f b
liftA2 :: Applicative f => (a -> b -> c) -> f a -> f b -> f c
liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d

Diagrams library

Exports from this library for working with diagrams.

module Diagrams

Convenience re-exports from other packages

For working with default values. Diagrams also exports with, an alias for def.

module Data.Default.Class

For representing and operating on colors.

class ColourOps (f :: Type -> Type) where Source #

Minimal complete definition

over, darken

Methods

darken :: Num a => a -> f a -> f a Source #

darken s c blends a colour with black without changing it's opacity.

For Colour, darken s c = blend s c mempty

Instances

Instances details

ColourOps AlphaColour
Instance details Defined in Data.Colour.Internal Methods over :: Num a => AlphaColour a -> AlphaColour a -> AlphaColour a Source # darken :: Num a => a -> AlphaColour a -> AlphaColour a Source #
ColourOps Colour
Instance details Defined in Data.Colour.Internal Methods over :: Num a => AlphaColour a -> Colour a -> Colour a Source # darken :: Num a => a -> Colour a -> Colour a Source #

data AlphaColour a Source #

This type represents a Colour that may be semi-transparent.

The Monoid instance allows you to composite colours.

x `mappend` y == x `over` y

To get the (pre-multiplied) colour channel of an AlphaColour c, simply composite c over black.

c `over` black

Instances

Instances details

AffineSpace AlphaColour
Instance details Defined in Data.Colour.Internal Methods affineCombo :: Num a => [(a, AlphaColour a)] -> AlphaColour a -> AlphaColour a Source #
ColourOps AlphaColour
Instance details Defined in Data.Colour.Internal Methods over :: Num a => AlphaColour a -> AlphaColour a -> AlphaColour a Source # darken :: Num a => a -> AlphaColour a -> AlphaColour a Source #
Num a => Monoid (AlphaColour a)
Instance details Defined in Data.Colour.Internal Methods mempty :: AlphaColour a Source # mappend :: AlphaColour a -> AlphaColour a -> AlphaColour a Source # mconcat :: [AlphaColour a] -> AlphaColour a Source #
Num a => Semigroup (AlphaColour a)	`AlphaColour` forms a monoid with `over` and `transparent`.
Instance details Defined in Data.Colour.Internal Methods (<>) :: AlphaColour a -> AlphaColour a -> AlphaColour a Source # sconcat :: NonEmpty (AlphaColour a) -> AlphaColour a Source # stimes :: Integral b => b -> AlphaColour a -> AlphaColour a Source #
a ~ Double => Color (AlphaColour a) Source #
Instance details Defined in Diagrams.Attributes Methods toAlphaColour :: AlphaColour a -> AlphaColour Double Source # fromAlphaColour :: AlphaColour Double -> AlphaColour a Source #
Parseable (AlphaColour Double) Source #	Parse `AlphaColour Double` as either a named color from Data.Colour.Names or a hexadecimal color.
Instance details Defined in Diagrams.Backend.CmdLine Methods parser :: Parser (AlphaColour Double) Source #
Eq a => Eq (AlphaColour a)
Instance details Defined in Data.Colour.Internal Methods (==) :: AlphaColour a -> AlphaColour a -> Bool Source # (/=) :: AlphaColour a -> AlphaColour a -> Bool Source #

data Colour a Source #

This type represents the human preception of colour. The a parameter is a numeric type used internally for the representation.

The Monoid instance allows one to add colours, but beware that adding colours can take you out of gamut. Consider using blend whenever possible.

Instances

Instances details

AffineSpace Colour
Instance details Defined in Data.Colour.Internal Methods affineCombo :: Num a => [(a, Colour a)] -> Colour a -> Colour a Source #
ColourOps Colour
Instance details Defined in Data.Colour.Internal Methods over :: Num a => AlphaColour a -> Colour a -> Colour a Source # darken :: Num a => a -> Colour a -> Colour a Source #
Num a => Monoid (Colour a)
Instance details Defined in Data.Colour.Internal Methods mempty :: Colour a Source # mappend :: Colour a -> Colour a -> Colour a Source # mconcat :: [Colour a] -> Colour a Source #
Num a => Semigroup (Colour a)
Instance details Defined in Data.Colour.Internal Methods (<>) :: Colour a -> Colour a -> Colour a Source # sconcat :: NonEmpty (Colour a) -> Colour a Source # stimes :: Integral b => b -> Colour a -> Colour a Source #
a ~ Double => Color (Colour a) Source #
Instance details Defined in Diagrams.Attributes Methods toAlphaColour :: Colour a -> AlphaColour Double Source # fromAlphaColour :: AlphaColour Double -> Colour a Source #
Parseable (Colour Double) Source #	Parse `Colour Double` as either a named color from Data.Colour.Names or a hexadecimal color.
Instance details Defined in Diagrams.Backend.CmdLine Methods parser :: Parser (Colour Double) Source #
Eq a => Eq (Colour a)
Instance details Defined in Data.Colour.Internal Methods (==) :: Colour a -> Colour a -> Bool Source # (/=) :: Colour a -> Colour a -> Bool Source #

colourConvert :: (Fractional b, Real a) => Colour a -> Colour b Source #

Change the type used to represent the colour coordinates.

black :: Num a => Colour a Source #

transparent :: Num a => AlphaColour a Source #

This AlphaColour is entirely transparent and has no associated colour channel.

alphaColourConvert :: (Fractional b, Real a) => AlphaColour a -> AlphaColour b Source #

Change the type used to represent the colour coordinates.

opaque :: Num a => Colour a -> AlphaColour a Source #

Creates an opaque AlphaColour from a Colour.

dissolve :: Num a => a -> AlphaColour a -> AlphaColour a Source #

Returns an AlphaColour more transparent by a factor of o.

withOpacity :: Num a => Colour a -> a -> AlphaColour a Source #

Creates an AlphaColour from a Colour with a given opacity.

c `withOpacity` o == dissolve o (opaque c)

blend :: (Num a, AffineSpace f) => a -> f a -> f a -> f a Source #

Compute the weighted average of two points. e.g.

blend 0.4 a b = 0.4*a + 0.6*b

The weight can be negative, or greater than 1.0; however, be aware that non-convex combinations may lead to out of gamut colours.

alphaChannel :: AlphaColour a -> a Source #

Returns the opacity of an AlphaColour.

A large list of color names.

black :: Num a => Colour a Source #

readColourName :: (MonadFail m, Monad m, Ord a, Floating a) => String -> m (Colour a) Source #

aliceblue :: (Ord a, Floating a) => Colour a Source #

antiquewhite :: (Ord a, Floating a) => Colour a Source #

aqua :: (Ord a, Floating a) => Colour a Source #

aquamarine :: (Ord a, Floating a) => Colour a Source #

azure :: (Ord a, Floating a) => Colour a Source #

beige :: (Ord a, Floating a) => Colour a Source #

bisque :: (Ord a, Floating a) => Colour a Source #

blanchedalmond :: (Ord a, Floating a) => Colour a Source #

blue :: (Ord a, Floating a) => Colour a Source #

blueviolet :: (Ord a, Floating a) => Colour a Source #

brown :: (Ord a, Floating a) => Colour a Source #

burlywood :: (Ord a, Floating a) => Colour a Source #

cadetblue :: (Ord a, Floating a) => Colour a Source #

chartreuse :: (Ord a, Floating a) => Colour a Source #

chocolate :: (Ord a, Floating a) => Colour a Source #

coral :: (Ord a, Floating a) => Colour a Source #

cornflowerblue :: (Ord a, Floating a) => Colour a Source #

cornsilk :: (Ord a, Floating a) => Colour a Source #

crimson :: (Ord a, Floating a) => Colour a Source #

cyan :: (Ord a, Floating a) => Colour a Source #

darkblue :: (Ord a, Floating a) => Colour a Source #

darkcyan :: (Ord a, Floating a) => Colour a Source #

darkgoldenrod :: (Ord a, Floating a) => Colour a Source #

darkgray :: (Ord a, Floating a) => Colour a Source #

darkgreen :: (Ord a, Floating a) => Colour a Source #

darkgrey :: (Ord a, Floating a) => Colour a Source #

darkkhaki :: (Ord a, Floating a) => Colour a Source #

darkmagenta :: (Ord a, Floating a) => Colour a Source #

darkolivegreen :: (Ord a, Floating a) => Colour a Source #

darkorange :: (Ord a, Floating a) => Colour a Source #

darkorchid :: (Ord a, Floating a) => Colour a Source #

darkred :: (Ord a, Floating a) => Colour a Source #

darksalmon :: (Ord a, Floating a) => Colour a Source #

darkseagreen :: (Ord a, Floating a) => Colour a Source #

darkslateblue :: (Ord a, Floating a) => Colour a Source #

darkslategray :: (Ord a, Floating a) => Colour a Source #

darkslategrey :: (Ord a, Floating a) => Colour a Source #

darkturquoise :: (Ord a, Floating a) => Colour a Source #

darkviolet :: (Ord a, Floating a) => Colour a Source #

deeppink :: (Ord a, Floating a) => Colour a Source #

deepskyblue :: (Ord a, Floating a) => Colour a Source #

dimgray :: (Ord a, Floating a) => Colour a Source #

dimgrey :: (Ord a, Floating a) => Colour a Source #

dodgerblue :: (Ord a, Floating a) => Colour a Source #

firebrick :: (Ord a, Floating a) => Colour a Source #

floralwhite :: (Ord a, Floating a) => Colour a Source #

forestgreen :: (Ord a, Floating a) => Colour a Source #

fuchsia :: (Ord a, Floating a) => Colour a Source #

gainsboro :: (Ord a, Floating a) => Colour a Source #

ghostwhite :: (Ord a, Floating a) => Colour a Source #

gold :: (Ord a, Floating a) => Colour a Source #

goldenrod :: (Ord a, Floating a) => Colour a Source #

gray :: (Ord a, Floating a) => Colour a Source #

grey :: (Ord a, Floating a) => Colour a Source #

green :: (Ord a, Floating a) => Colour a Source #

greenyellow :: (Ord a, Floating a) => Colour a Source #

honeydew :: (Ord a, Floating a) => Colour a Source #

hotpink :: (Ord a, Floating a) => Colour a Source #

indianred :: (Ord a, Floating a) => Colour a Source #

indigo :: (Ord a, Floating a) => Colour a Source #

ivory :: (Ord a, Floating a) => Colour a Source #

khaki :: (Ord a, Floating a) => Colour a Source #

lavender :: (Ord a, Floating a) => Colour a Source #

lavenderblush :: (Ord a, Floating a) => Colour a Source #

lawngreen :: (Ord a, Floating a) => Colour a Source #

lemonchiffon :: (Ord a, Floating a) => Colour a Source #

lightblue :: (Ord a, Floating a) => Colour a Source #

lightcoral :: (Ord a, Floating a) => Colour a Source #

lightcyan :: (Ord a, Floating a) => Colour a Source #

lightgoldenrodyellow :: (Ord a, Floating a) => Colour a Source #

lightgray :: (Ord a, Floating a) => Colour a Source #

lightgreen :: (Ord a, Floating a) => Colour a Source #

lightgrey :: (Ord a, Floating a) => Colour a Source #

lightpink :: (Ord a, Floating a) => Colour a Source #

lightsalmon :: (Ord a, Floating a) => Colour a Source #

lightseagreen :: (Ord a, Floating a) => Colour a Source #

lightskyblue :: (Ord a, Floating a) => Colour a Source #

lightslategray :: (Ord a, Floating a) => Colour a Source #

lightslategrey :: (Ord a, Floating a) => Colour a Source #

lightsteelblue :: (Ord a, Floating a) => Colour a Source #

lightyellow :: (Ord a, Floating a) => Colour a Source #

lime :: (Ord a, Floating a) => Colour a Source #

limegreen :: (Ord a, Floating a) => Colour a Source #

linen :: (Ord a, Floating a) => Colour a Source #

magenta :: (Ord a, Floating a) => Colour a Source #

maroon :: (Ord a, Floating a) => Colour a Source #

mediumaquamarine :: (Ord a, Floating a) => Colour a Source #

mediumblue :: (Ord a, Floating a) => Colour a Source #

mediumorchid :: (Ord a, Floating a) => Colour a Source #

mediumpurple :: (Ord a, Floating a) => Colour a Source #

mediumseagreen :: (Ord a, Floating a) => Colour a Source #

mediumslateblue :: (Ord a, Floating a) => Colour a Source #

mediumspringgreen :: (Ord a, Floating a) => Colour a Source #

mediumturquoise :: (Ord a, Floating a) => Colour a Source #

mediumvioletred :: (Ord a, Floating a) => Colour a Source #

midnightblue :: (Ord a, Floating a) => Colour a Source #

mintcream :: (Ord a, Floating a) => Colour a Source #

mistyrose :: (Ord a, Floating a) => Colour a Source #

moccasin :: (Ord a, Floating a) => Colour a Source #

navajowhite :: (Ord a, Floating a) => Colour a Source #

navy :: (Ord a, Floating a) => Colour a Source #

oldlace :: (Ord a, Floating a) => Colour a Source #

olive :: (Ord a, Floating a) => Colour a Source #

olivedrab :: (Ord a, Floating a) => Colour a Source #

orange :: (Ord a, Floating a) => Colour a Source #

orangered :: (Ord a, Floating a) => Colour a Source #

orchid :: (Ord a, Floating a) => Colour a Source #

palegoldenrod :: (Ord a, Floating a) => Colour a Source #

palegreen :: (Ord a, Floating a) => Colour a Source #

paleturquoise :: (Ord a, Floating a) => Colour a Source #

palevioletred :: (Ord a, Floating a) => Colour a Source #

papayawhip :: (Ord a, Floating a) => Colour a Source #

peachpuff :: (Ord a, Floating a) => Colour a Source #

peru :: (Ord a, Floating a) => Colour a Source #

pink :: (Ord a, Floating a) => Colour a Source #

plum :: (Ord a, Floating a) => Colour a Source #

powderblue :: (Ord a, Floating a) => Colour a Source #

purple :: (Ord a, Floating a) => Colour a Source #

red :: (Ord a, Floating a) => Colour a Source #

rosybrown :: (Ord a, Floating a) => Colour a Source #

royalblue :: (Ord a, Floating a) => Colour a Source #

saddlebrown :: (Ord a, Floating a) => Colour a Source #

salmon :: (Ord a, Floating a) => Colour a Source #

sandybrown :: (Ord a, Floating a) => Colour a Source #

seagreen :: (Ord a, Floating a) => Colour a Source #

seashell :: (Ord a, Floating a) => Colour a Source #

sienna :: (Ord a, Floating a) => Colour a Source #

silver :: (Ord a, Floating a) => Colour a Source #

skyblue :: (Ord a, Floating a) => Colour a Source #

slateblue :: (Ord a, Floating a) => Colour a Source #

slategray :: (Ord a, Floating a) => Colour a Source #

slategrey :: (Ord a, Floating a) => Colour a Source #

snow :: (Ord a, Floating a) => Colour a Source #

springgreen :: (Ord a, Floating a) => Colour a Source #

steelblue :: (Ord a, Floating a) => Colour a Source #

teal :: (Ord a, Floating a) => Colour a Source #

thistle :: (Ord a, Floating a) => Colour a Source #

tomato :: (Ord a, Floating a) => Colour a Source #

turquoise :: (Ord a, Floating a) => Colour a Source #

violet :: (Ord a, Floating a) => Colour a Source #

wheat :: (Ord a, Floating a) => Colour a Source #

white :: (Ord a, Floating a) => Colour a Source #

whitesmoke :: (Ord a, Floating a) => Colour a Source #

yellow :: (Ord a, Floating a) => Colour a Source #

yellowgreen :: (Ord a, Floating a) => Colour a Source #

Specify your own colours.

module Data.Colour.SRGB

Semigroups and monoids show up all over the place, so things from Data.Semigroup and Data.Monoid often come in handy.

module Data.Semigroup

For computing with vectors.

module Linear.Vector

For computing with points and vectors.

module Linear.Affine

For computing with dot products and norm.

module Linear.Metric

For working with Active (i.e. animated) things.

module Data.Active

Most of the lens package. The following functions are not exported from lens because they either conflict with diagrams or may conflict with other libraries:

type Traversal s t a b = forall (f :: Type -> Type). Applicative f => (a -> f b) -> s -> f t Source #

A Traversal can be used directly as a Setter or a Fold (but not as a Lens) and provides the ability to both read and update multiple fields, subject to some relatively weak Traversal laws.

These have also been known as multilenses, but they have the signature and spirit of

traverse :: Traversable f => Traversal (f a) (f b) a b

and the more evocative name suggests their application.

Most of the time the Traversal you will want to use is just traverse, but you can also pass any Lens or Iso as a Traversal, and composition of a Traversal (or Lens or Iso) with a Traversal (or Lens or Iso) using (.) forms a valid Traversal.

The laws for a Traversal t follow from the laws for Traversable as stated in "The Essence of the Iterator Pattern".

t pure ≡ pure
fmap (t f) . t g ≡ getCompose . t (Compose . fmap f . g)

One consequence of this requirement is that a Traversal needs to leave the same number of elements as a candidate for subsequent Traversal that it started with. Another testament to the strength of these laws is that the caveat expressed in section 5.5 of the "Essence of the Iterator Pattern" about exotic Traversable instances that traverse the same entry multiple times was actually already ruled out by the second law in that same paper!

type Fold s a = forall (f :: Type -> Type). (Contravariant f, Applicative f) => (a -> f a) -> s -> f s Source #

A Fold describes how to retrieve multiple values in a way that can be composed with other LensLike constructions.

A Fold s a provides a structure with operations very similar to those of the Foldable typeclass, see foldMapOf and the other Fold combinators.

By convention, if there exists a foo method that expects a Foldable (f a), then there should be a fooOf method that takes a Fold s a and a value of type s.

A Getter is a legal Fold that just ignores the supplied Monoid.

Unlike a Traversal a Fold is read-only. Since a Fold cannot be used to write back there are no Lens laws that apply.

class Contravariant (f :: Type -> Type) where Source #

The class of contravariant functors.

Whereas in Haskell, one can think of a Functor as containing or producing values, a contravariant functor is a functor that can be thought of as consuming values.

As an example, consider the type of predicate functions a -> Bool. One such predicate might be negative x = x < 0, which classifies integers as to whether they are negative. However, given this predicate, we can re-use it in other situations, providing we have a way to map values to integers. For instance, we can use the negative predicate on a person's bank balance to work out if they are currently overdrawn:

newtype Predicate a = Predicate { getPredicate :: a -> Bool }

instance Contravariant Predicate where
  contramap :: (a' -> a) -> (Predicate a -> Predicate a')
  contramap f (Predicate p) = Predicate (p . f)
                                         |   `- First, map the input...
                                         `----- then apply the predicate.

overdrawn :: Predicate Person
overdrawn = contramap personBankBalance negative

Any instance should be subject to the following laws:

Identity: contramap id = id
Composition: contramap (g . f) = contramap f . contramap g

Note, that the second law follows from the free theorem of the type of contramap and the first law, so you need only check that the former condition holds.

Minimal complete definition

contramap

Methods

contramap :: (a' -> a) -> f a -> f a' Source #

(>$) :: b -> f b -> f a infixl 4 Source #

Replace all locations in the output with the same value. The default definition is contramap . const, but this may be overridden with a more efficient version.

Instances

Instances details

Contravariant Comparison	A `Comparison` is a `Contravariant` `Functor`, because `contramap` can apply its function argument to each input of the comparison function.
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> Comparison a -> Comparison a' Source # (>$) :: b -> Comparison b -> Comparison a Source #
Contravariant Equivalence	Equivalence relations are `Contravariant`, because you can apply the contramapped function to each input to the equivalence relation.
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> Equivalence a -> Equivalence a' Source # (>$) :: b -> Equivalence b -> Equivalence a Source #
Contravariant Predicate	A `Predicate` is a `Contravariant` `Functor`, because `contramap` can apply its function argument to the input of the predicate. Without newtypes `contramap f` equals precomposing with `f` (= `(. f)`). contramap :: (a' -> a) -> (Predicate a -> Predicate a') contramap f (Predicate g) = Predicate (g . f)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> Predicate a -> Predicate a' Source # (>$) :: b -> Predicate b -> Predicate a Source #
Contravariant (Op a)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a0) -> Op a a0 -> Op a a' Source # (>$) :: b -> Op a b -> Op a a0 Source #
Contravariant (Proxy :: Type -> Type)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> Proxy a -> Proxy a' Source # (>$) :: b -> Proxy b -> Proxy a Source #
Contravariant (U1 :: Type -> Type)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> U1 a -> U1 a' Source # (>$) :: b -> U1 b -> U1 a Source #
Contravariant (V1 :: Type -> Type)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> V1 a -> V1 a' Source # (>$) :: b -> V1 b -> V1 a Source #
Contravariant f => Contravariant (Indexing f)
Instance details Defined in Control.Lens.Internal.Indexed Methods contramap :: (a' -> a) -> Indexing f a -> Indexing f a' Source # (>$) :: b -> Indexing f b -> Indexing f a Source #
Contravariant f => Contravariant (Indexing64 f)
Instance details Defined in Control.Lens.Internal.Indexed Methods contramap :: (a' -> a) -> Indexing64 f a -> Indexing64 f a' Source # (>$) :: b -> Indexing64 f b -> Indexing64 f a Source #
Contravariant m => Contravariant (MaybeT m)
Instance details Defined in Control.Monad.Trans.Maybe Methods contramap :: (a' -> a) -> MaybeT m a -> MaybeT m a' Source # (>$) :: b -> MaybeT m b -> MaybeT m a Source #
Contravariant (Const a :: Type -> Type)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a0) -> Const a a0 -> Const a a' Source # (>$) :: b -> Const a b -> Const a a0 Source #
Contravariant f => Contravariant (Alt f)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> Alt f a -> Alt f a' Source # (>$) :: b -> Alt f b -> Alt f a Source #
Contravariant f => Contravariant (Rec1 f)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> Rec1 f a -> Rec1 f a' Source # (>$) :: b -> Rec1 f b -> Rec1 f a Source #
Contravariant f => Contravariant (AlongsideLeft f b)
Instance details Defined in Control.Lens.Internal.Getter Methods contramap :: (a' -> a) -> AlongsideLeft f b a -> AlongsideLeft f b a' Source # (>$) :: b0 -> AlongsideLeft f b b0 -> AlongsideLeft f b a Source #
Contravariant f => Contravariant (AlongsideRight f a)
Instance details Defined in Control.Lens.Internal.Getter Methods contramap :: (a' -> a0) -> AlongsideRight f a a0 -> AlongsideRight f a a' Source # (>$) :: b -> AlongsideRight f a b -> AlongsideRight f a a0 Source #
Contravariant f => Contravariant (Backwards f)	Derived instance.
Instance details Defined in Control.Applicative.Backwards Methods contramap :: (a' -> a) -> Backwards f a -> Backwards f a' Source # (>$) :: b -> Backwards f b -> Backwards f a Source #
Contravariant m => Contravariant (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods contramap :: (a' -> a) -> ExceptT e m a -> ExceptT e m a' Source # (>$) :: b -> ExceptT e m b -> ExceptT e m a Source #
Contravariant f => Contravariant (IdentityT f)
Instance details Defined in Control.Monad.Trans.Identity Methods contramap :: (a' -> a) -> IdentityT f a -> IdentityT f a' Source # (>$) :: b -> IdentityT f b -> IdentityT f a Source #
Contravariant m => Contravariant (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods contramap :: (a' -> a) -> ReaderT r m a -> ReaderT r m a' Source # (>$) :: b -> ReaderT r m b -> ReaderT r m a Source #
Contravariant m => Contravariant (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods contramap :: (a' -> a) -> StateT s m a -> StateT s m a' Source # (>$) :: b -> StateT s m b -> StateT s m a Source #
Contravariant m => Contravariant (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Strict Methods contramap :: (a' -> a) -> StateT s m a -> StateT s m a' Source # (>$) :: b -> StateT s m b -> StateT s m a Source #
Contravariant m => Contravariant (WriterT w m)
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods contramap :: (a' -> a) -> WriterT w m a -> WriterT w m a' Source # (>$) :: b -> WriterT w m b -> WriterT w m a Source #
Contravariant m => Contravariant (WriterT w m)
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods contramap :: (a' -> a) -> WriterT w m a -> WriterT w m a' Source # (>$) :: b -> WriterT w m b -> WriterT w m a Source #
Contravariant (Constant a :: Type -> Type)
Instance details Defined in Data.Functor.Constant Methods contramap :: (a' -> a0) -> Constant a a0 -> Constant a a' Source # (>$) :: b -> Constant a b -> Constant a a0 Source #
Contravariant f => Contravariant (Reverse f)	Derived instance.
Instance details Defined in Data.Functor.Reverse Methods contramap :: (a' -> a) -> Reverse f a -> Reverse f a' Source # (>$) :: b -> Reverse f b -> Reverse f a Source #
(Contravariant f, Contravariant g) => Contravariant (Product f g)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> Product f g a -> Product f g a' Source # (>$) :: b -> Product f g b -> Product f g a Source #
(Contravariant f, Contravariant g) => Contravariant (Sum f g)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> Sum f g a -> Sum f g a' Source # (>$) :: b -> Sum f g b -> Sum f g a Source #
(Contravariant f, Contravariant g) => Contravariant (f :*: g)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> (f :: g) a -> (f :: g) a' Source # (>$) :: b -> (f :: g) b -> (f :: g) a Source #
(Contravariant f, Contravariant g) => Contravariant (f :+: g)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> (f :+: g) a -> (f :+: g) a' Source # (>$) :: b -> (f :+: g) b -> (f :+: g) a Source #
Contravariant (K1 i c :: Type -> Type)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> K1 i c a -> K1 i c a' Source # (>$) :: b -> K1 i c b -> K1 i c a Source #
Contravariant (Forget r a :: Type -> Type)
Instance details Defined in Data.Profunctor.Types Methods contramap :: (a' -> a0) -> Forget r a a0 -> Forget r a a' Source # (>$) :: b -> Forget r a b -> Forget r a a0 Source #
Contravariant f => Contravariant (Star f a)
Instance details Defined in Data.Profunctor.Types Methods contramap :: (a' -> a0) -> Star f a a0 -> Star f a a' Source # (>$) :: b -> Star f a b -> Star f a a0 Source #
(Functor f, Contravariant g) => Contravariant (Compose f g)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> Compose f g a -> Compose f g a' Source # (>$) :: b -> Compose f g b -> Compose f g a Source #
(Functor f, Contravariant g) => Contravariant (f :.: g)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> (f :.: g) a -> (f :.: g) a' Source # (>$) :: b -> (f :.: g) b -> (f :.: g) a Source #
Contravariant f => Contravariant (M1 i c f)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> M1 i c f a -> M1 i c f a' Source # (>$) :: b -> M1 i c f b -> M1 i c f a Source #
(Profunctor p, Contravariant g) => Contravariant (BazaarT p g a b)
Instance details Defined in Control.Lens.Internal.Bazaar Methods contramap :: (a' -> a0) -> BazaarT p g a b a0 -> BazaarT p g a b a' Source # (>$) :: b0 -> BazaarT p g a b b0 -> BazaarT p g a b a0 Source #
(Profunctor p, Contravariant g) => Contravariant (BazaarT1 p g a b)
Instance details Defined in Control.Lens.Internal.Bazaar Methods contramap :: (a' -> a0) -> BazaarT1 p g a b a0 -> BazaarT1 p g a b a' Source # (>$) :: b0 -> BazaarT1 p g a b b0 -> BazaarT1 p g a b a0 Source #
(Profunctor p, Contravariant g) => Contravariant (PretextT p g a b)
Instance details Defined in Control.Lens.Internal.Context Methods contramap :: (a' -> a0) -> PretextT p g a b a0 -> PretextT p g a b a' Source # (>$) :: b0 -> PretextT p g a b b0 -> PretextT p g a b a0 Source #
Contravariant f => Contravariant (TakingWhile p f a b)
Instance details Defined in Control.Lens.Internal.Magma Methods contramap :: (a' -> a0) -> TakingWhile p f a b a0 -> TakingWhile p f a b a' Source # (>$) :: b0 -> TakingWhile p f a b b0 -> TakingWhile p f a b a0 Source #
Contravariant m => Contravariant (RWST r w s m)
Instance details Defined in Control.Monad.Trans.RWS.Lazy Methods contramap :: (a' -> a) -> RWST r w s m a -> RWST r w s m a' Source # (>$) :: b -> RWST r w s m b -> RWST r w s m a Source #
Contravariant m => Contravariant (RWST r w s m)
Instance details Defined in Control.Monad.Trans.RWS.Strict Methods contramap :: (a' -> a) -> RWST r w s m a -> RWST r w s m a' Source # (>$) :: b -> RWST r w s m b -> RWST r w s m a Source #

class (forall a. Functor (p a)) => Bifunctor (p :: Type -> Type -> Type) where Source #

A bifunctor is a type constructor that takes two type arguments and is a functor in both arguments. That is, unlike with Functor, a type constructor such as Either does not need to be partially applied for a Bifunctor instance, and the methods in this class permit mapping functions over the Left value or the Right value, or both at the same time.

Formally, the class Bifunctor represents a bifunctor from Hask -> Hask.

Intuitively it is a bifunctor where both the first and second arguments are covariant.

You can define a Bifunctor by either defining bimap or by defining both first and second. A partially applied Bifunctor must be a Functor and the second method must agree with fmap. From this it follows that:

second id = id

If you supply bimap, you should ensure that:

bimap id id ≡ id

If you supply first and second, ensure:

first id ≡ id
second id ≡ id

If you supply both, you should also ensure:

bimap f g ≡ first f . second g

These ensure by parametricity:

bimap  (f . g) (h . i) ≡ bimap f h . bimap g i
first  (f . g) ≡ first  f . first  g
second (f . g) ≡ second f . second g

Since 4.18.0.0 Functor is a superclass of 'Bifunctor.

Since: base-4.8.0.0

Minimal complete definition

bimap | first, second

Methods

bimap :: (a -> b) -> (c -> d) -> p a c -> p b d Source #

Map over both arguments at the same time.

bimap f g ≡ first f . second g

Examples

Expand

>>> bimap toUpper (+1) ('j', 3)
('J',4)

>>> bimap toUpper (+1) (Left 'j')
Left 'J'

>>> bimap toUpper (+1) (Right 3)
Right 4

Instances

Instances details

Bifunctor Either	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> Either a c -> Either b d Source # first :: (a -> b) -> Either a c -> Either b c Source # second :: (b -> c) -> Either a b -> Either a c Source #
Bifunctor Arg	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods bimap :: (a -> b) -> (c -> d) -> Arg a c -> Arg b d Source # first :: (a -> b) -> Arg a c -> Arg b c Source # second :: (b -> c) -> Arg a b -> Arg a c Source #
Bifunctor Either
Instance details Defined in Data.Strict.Either Methods bimap :: (a -> b) -> (c -> d) -> Either a c -> Either b d Source # first :: (a -> b) -> Either a c -> Either b c Source # second :: (b -> c) -> Either a b -> Either a c Source #
Bifunctor These
Instance details Defined in Data.Strict.These Methods bimap :: (a -> b) -> (c -> d) -> These a c -> These b d Source # first :: (a -> b) -> These a c -> These b c Source # second :: (b -> c) -> These a b -> These a c Source #
Bifunctor Pair
Instance details Defined in Data.Strict.Tuple Methods bimap :: (a -> b) -> (c -> d) -> Pair a c -> Pair b d Source # first :: (a -> b) -> Pair a c -> Pair b c Source # second :: (b -> c) -> Pair a b -> Pair a c Source #
Bifunctor These
Instance details Defined in Data.These Methods bimap :: (a -> b) -> (c -> d) -> These a c -> These b d Source # first :: (a -> b) -> These a c -> These b c Source # second :: (b -> c) -> These a b -> These a c Source #
Bifunctor (,)	Class laws for tuples hold only up to laziness. Both `first` `id` and `second` `id` are lazier than `id` (and `fmap` `id`): `>>>` first id (undefined :: (Int, Word)) `seq` ()() `>>>` second id (undefined :: (Int, Word)) `seq` ()() `>>>` id (undefined :: (Int, Word)) `seq` ()*** Exception: Prelude.undefined Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> (a, c) -> (b, d) Source # first :: (a -> b) -> (a, c) -> (b, c) Source # second :: (b -> c) -> (a, b) -> (a, c) Source #
Bifunctor (Const :: Type -> Type -> Type)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> Const a c -> Const b d Source # first :: (a -> b) -> Const a c -> Const b c Source # second :: (b -> c) -> Const a b -> Const a c Source #
Functor f => Bifunctor (CofreeF f)
Instance details Defined in Control.Comonad.Trans.Cofree Methods bimap :: (a -> b) -> (c -> d) -> CofreeF f a c -> CofreeF f b d Source # first :: (a -> b) -> CofreeF f a c -> CofreeF f b c Source # second :: (b -> c) -> CofreeF f a b -> CofreeF f a c Source #
Functor f => Bifunctor (FreeF f)
Instance details Defined in Control.Monad.Trans.Free Methods bimap :: (a -> b) -> (c -> d) -> FreeF f a c -> FreeF f b d Source # first :: (a -> b) -> FreeF f a c -> FreeF f b c Source # second :: (b -> c) -> FreeF f a b -> FreeF f a c Source #
Functor f => Bifunctor (AlongsideLeft f)
Instance details Defined in Control.Lens.Internal.Getter Methods bimap :: (a -> b) -> (c -> d) -> AlongsideLeft f a c -> AlongsideLeft f b d Source # first :: (a -> b) -> AlongsideLeft f a c -> AlongsideLeft f b c Source # second :: (b -> c) -> AlongsideLeft f a b -> AlongsideLeft f a c Source #
Functor f => Bifunctor (AlongsideRight f)
Instance details Defined in Control.Lens.Internal.Getter Methods bimap :: (a -> b) -> (c -> d) -> AlongsideRight f a c -> AlongsideRight f b d Source # first :: (a -> b) -> AlongsideRight f a c -> AlongsideRight f b c Source # second :: (b -> c) -> AlongsideRight f a b -> AlongsideRight f a c Source #
Bifunctor (Tagged :: Type -> Type -> Type)
Instance details Defined in Data.Tagged Methods bimap :: (a -> b) -> (c -> d) -> Tagged a c -> Tagged b d Source # first :: (a -> b) -> Tagged a c -> Tagged b c Source # second :: (b -> c) -> Tagged a b -> Tagged a c Source #
Bifunctor (Constant :: Type -> Type -> Type)
Instance details Defined in Data.Functor.Constant Methods bimap :: (a -> b) -> (c -> d) -> Constant a c -> Constant b d Source # first :: (a -> b) -> Constant a c -> Constant b c Source # second :: (b -> c) -> Constant a b -> Constant a c Source #
Bifunctor ((,,) x1)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> (x1, a, c) -> (x1, b, d) Source # first :: (a -> b) -> (x1, a, c) -> (x1, b, c) Source # second :: (b -> c) -> (x1, a, b) -> (x1, a, c) Source #
Bifunctor (K1 i :: Type -> Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> K1 i a c -> K1 i b d Source # first :: (a -> b) -> K1 i a c -> K1 i b c Source # second :: (b -> c) -> K1 i a b -> K1 i a c Source #
Bifunctor ((,,,) x1 x2)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> (x1, x2, a, c) -> (x1, x2, b, d) Source # first :: (a -> b) -> (x1, x2, a, c) -> (x1, x2, b, c) Source # second :: (b -> c) -> (x1, x2, a, b) -> (x1, x2, a, c) Source #
Functor f => Bifunctor (Clown f :: Type -> Type -> Type)
Instance details Defined in Data.Bifunctor.Clown Methods bimap :: (a -> b) -> (c -> d) -> Clown f a c -> Clown f b d Source # first :: (a -> b) -> Clown f a c -> Clown f b c Source # second :: (b -> c) -> Clown f a b -> Clown f a c Source #
Bifunctor p => Bifunctor (Flip p)
Instance details Defined in Data.Bifunctor.Flip Methods bimap :: (a -> b) -> (c -> d) -> Flip p a c -> Flip p b d Source # first :: (a -> b) -> Flip p a c -> Flip p b c Source # second :: (b -> c) -> Flip p a b -> Flip p a c Source #
Functor g => Bifunctor (Joker g :: Type -> Type -> Type)
Instance details Defined in Data.Bifunctor.Joker Methods bimap :: (a -> b) -> (c -> d) -> Joker g a c -> Joker g b d Source # first :: (a -> b) -> Joker g a c -> Joker g b c Source # second :: (b -> c) -> Joker g a b -> Joker g a c Source #
Bifunctor p => Bifunctor (WrappedBifunctor p)
Instance details Defined in Data.Bifunctor.Wrapped Methods bimap :: (a -> b) -> (c -> d) -> WrappedBifunctor p a c -> WrappedBifunctor p b d Source # first :: (a -> b) -> WrappedBifunctor p a c -> WrappedBifunctor p b c Source # second :: (b -> c) -> WrappedBifunctor p a b -> WrappedBifunctor p a c Source #
Bifunctor ((,,,,) x1 x2 x3)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> (x1, x2, x3, a, c) -> (x1, x2, x3, b, d) Source # first :: (a -> b) -> (x1, x2, x3, a, c) -> (x1, x2, x3, b, c) Source # second :: (b -> c) -> (x1, x2, x3, a, b) -> (x1, x2, x3, a, c) Source #
(Bifunctor f, Bifunctor g) => Bifunctor (Product f g)
Instance details Defined in Data.Bifunctor.Product Methods bimap :: (a -> b) -> (c -> d) -> Product f g a c -> Product f g b d Source # first :: (a -> b) -> Product f g a c -> Product f g b c Source # second :: (b -> c) -> Product f g a b -> Product f g a c Source #
(Bifunctor p, Bifunctor q) => Bifunctor (Sum p q)
Instance details Defined in Data.Bifunctor.Sum Methods bimap :: (a -> b) -> (c -> d) -> Sum p q a c -> Sum p q b d Source # first :: (a -> b) -> Sum p q a c -> Sum p q b c Source # second :: (b -> c) -> Sum p q a b -> Sum p q a c Source #
Bifunctor ((,,,,,) x1 x2 x3 x4)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> (x1, x2, x3, x4, a, c) -> (x1, x2, x3, x4, b, d) Source # first :: (a -> b) -> (x1, x2, x3, x4, a, c) -> (x1, x2, x3, x4, b, c) Source # second :: (b -> c) -> (x1, x2, x3, x4, a, b) -> (x1, x2, x3, x4, a, c) Source #
(Functor f, Bifunctor p) => Bifunctor (Tannen f p)
Instance details Defined in Data.Bifunctor.Tannen Methods bimap :: (a -> b) -> (c -> d) -> Tannen f p a c -> Tannen f p b d Source # first :: (a -> b) -> Tannen f p a c -> Tannen f p b c Source # second :: (b -> c) -> Tannen f p a b -> Tannen f p a c Source #
Bifunctor ((,,,,,,) x1 x2 x3 x4 x5)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> (x1, x2, x3, x4, x5, a, c) -> (x1, x2, x3, x4, x5, b, d) Source # first :: (a -> b) -> (x1, x2, x3, x4, x5, a, c) -> (x1, x2, x3, x4, x5, b, c) Source # second :: (b -> c) -> (x1, x2, x3, x4, x5, a, b) -> (x1, x2, x3, x4, x5, a, c) Source #
(Bifunctor p, Functor f, Functor g) => Bifunctor (Biff p f g)
Instance details Defined in Data.Bifunctor.Biff Methods bimap :: (a -> b) -> (c -> d) -> Biff p f g a c -> Biff p f g b d Source # first :: (a -> b) -> Biff p f g a c -> Biff p f g b c Source # second :: (b -> c) -> Biff p f g a b -> Biff p f g a c Source #

class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where Source #

Functors representing data structures that can be transformed to structures of the same shape by performing an Applicative (or, therefore, Monad) action on each element from left to right.

A more detailed description of what same shape means, the various methods, how traversals are constructed, and example advanced use-cases can be found in the Overview section of Data.Traversable.

For the class laws see the Laws section of Data.Traversable.

Minimal complete definition

traverse | sequenceA

Methods

traverse :: Applicative f => (a -> f b) -> t a -> f (t b) Source #

Map each element of a structure to an action, evaluate these actions from left to right, and collect the results. For a version that ignores the results see traverse_.

Examples

Expand

Basic usage:

In the first two examples we show each evaluated action mapping to the output structure.

>>> traverse Just [1,2,3,4]
Just [1,2,3,4]

>>> traverse id [Right 1, Right 2, Right 3, Right 4]
Right [1,2,3,4]

In the next examples, we show that Nothing and Left values short circuit the created structure.

>>> traverse (const Nothing) [1,2,3,4]
Nothing

>>> traverse (\x -> if odd x then Just x else Nothing)  [1,2,3,4]
Nothing

>>> traverse id [Right 1, Right 2, Right 3, Right 4, Left 0]
Left 0

Instances

Instances details

Traversable ZipList	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> ZipList a -> f (ZipList b) Source # sequenceA :: Applicative f => ZipList (f a) -> f (ZipList a) Source # mapM :: Monad m => (a -> m b) -> ZipList a -> m (ZipList b) Source # sequence :: Monad m => ZipList (m a) -> m (ZipList a) Source #
Traversable Complex	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods traverse :: Applicative f => (a -> f b) -> Complex a -> f (Complex b) Source # sequenceA :: Applicative f => Complex (f a) -> f (Complex a) Source # mapM :: Monad m => (a -> m b) -> Complex a -> m (Complex b) Source # sequence :: Monad m => Complex (m a) -> m (Complex a) Source #
Traversable Identity	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Identity a -> f (Identity b) Source # sequenceA :: Applicative f => Identity (f a) -> f (Identity a) Source # mapM :: Monad m => (a -> m b) -> Identity a -> m (Identity b) Source # sequence :: Monad m => Identity (m a) -> m (Identity a) Source #
Traversable First	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> First a -> f (First b) Source # sequenceA :: Applicative f => First (f a) -> f (First a) Source # mapM :: Monad m => (a -> m b) -> First a -> m (First b) Source # sequence :: Monad m => First (m a) -> m (First a) Source #
Traversable Last	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Last a -> f (Last b) Source # sequenceA :: Applicative f => Last (f a) -> f (Last a) Source # mapM :: Monad m => (a -> m b) -> Last a -> m (Last b) Source # sequence :: Monad m => Last (m a) -> m (Last a) Source #
Traversable Down	Since: base-4.12.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Down a -> f (Down b) Source # sequenceA :: Applicative f => Down (f a) -> f (Down a) Source # mapM :: Monad m => (a -> m b) -> Down a -> m (Down b) Source # sequence :: Monad m => Down (m a) -> m (Down a) Source #
Traversable First	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> First a -> f (First b) Source # sequenceA :: Applicative f => First (f a) -> f (First a) Source # mapM :: Monad m => (a -> m b) -> First a -> m (First b) Source # sequence :: Monad m => First (m a) -> m (First a) Source #
Traversable Last	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Last a -> f (Last b) Source # sequenceA :: Applicative f => Last (f a) -> f (Last a) Source # mapM :: Monad m => (a -> m b) -> Last a -> m (Last b) Source # sequence :: Monad m => Last (m a) -> m (Last a) Source #
Traversable Max	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Max a -> f (Max b) Source # sequenceA :: Applicative f => Max (f a) -> f (Max a) Source # mapM :: Monad m => (a -> m b) -> Max a -> m (Max b) Source # sequence :: Monad m => Max (m a) -> m (Max a) Source #
Traversable Min	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Min a -> f (Min b) Source # sequenceA :: Applicative f => Min (f a) -> f (Min a) Source # mapM :: Monad m => (a -> m b) -> Min a -> m (Min b) Source # sequence :: Monad m => Min (m a) -> m (Min a) Source #
Traversable Dual	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Dual a -> f (Dual b) Source # sequenceA :: Applicative f => Dual (f a) -> f (Dual a) Source # mapM :: Monad m => (a -> m b) -> Dual a -> m (Dual b) Source # sequence :: Monad m => Dual (m a) -> m (Dual a) Source #
Traversable Product	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Product a -> f (Product b) Source # sequenceA :: Applicative f => Product (f a) -> f (Product a) Source # mapM :: Monad m => (a -> m b) -> Product a -> m (Product b) Source # sequence :: Monad m => Product (m a) -> m (Product a) Source #
Traversable Sum	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Sum a -> f (Sum b) Source # sequenceA :: Applicative f => Sum (f a) -> f (Sum a) Source # mapM :: Monad m => (a -> m b) -> Sum a -> m (Sum b) Source # sequence :: Monad m => Sum (m a) -> m (Sum a) Source #
Traversable NonEmpty	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> NonEmpty a -> f (NonEmpty b) Source # sequenceA :: Applicative f => NonEmpty (f a) -> f (NonEmpty a) Source # mapM :: Monad m => (a -> m b) -> NonEmpty a -> m (NonEmpty b) Source # sequence :: Monad m => NonEmpty (m a) -> m (NonEmpty a) Source #
Traversable Par1	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Par1 a -> f (Par1 b) Source # sequenceA :: Applicative f => Par1 (f a) -> f (Par1 a) Source # mapM :: Monad m => (a -> m b) -> Par1 a -> m (Par1 b) Source # sequence :: Monad m => Par1 (m a) -> m (Par1 a) Source #
Traversable IntMap	Traverses in order of increasing key.
Instance details Defined in Data.IntMap.Internal Methods traverse :: Applicative f => (a -> f b) -> IntMap a -> f (IntMap b) Source # sequenceA :: Applicative f => IntMap (f a) -> f (IntMap a) Source # mapM :: Monad m => (a -> m b) -> IntMap a -> m (IntMap b) Source # sequence :: Monad m => IntMap (m a) -> m (IntMap a) Source #
Traversable Digit
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Digit a -> f (Digit b) Source # sequenceA :: Applicative f => Digit (f a) -> f (Digit a) Source # mapM :: Monad m => (a -> m b) -> Digit a -> m (Digit b) Source # sequence :: Monad m => Digit (m a) -> m (Digit a) Source #
Traversable Elem
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Elem a -> f (Elem b) Source # sequenceA :: Applicative f => Elem (f a) -> f (Elem a) Source # mapM :: Monad m => (a -> m b) -> Elem a -> m (Elem b) Source # sequence :: Monad m => Elem (m a) -> m (Elem a) Source #
Traversable FingerTree
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> FingerTree a -> f (FingerTree b) Source # sequenceA :: Applicative f => FingerTree (f a) -> f (FingerTree a) Source # mapM :: Monad m => (a -> m b) -> FingerTree a -> m (FingerTree b) Source # sequence :: Monad m => FingerTree (m a) -> m (FingerTree a) Source #
Traversable Node
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Node a -> f (Node b) Source # sequenceA :: Applicative f => Node (f a) -> f (Node a) Source # mapM :: Monad m => (a -> m b) -> Node a -> m (Node b) Source # sequence :: Monad m => Node (m a) -> m (Node a) Source #
Traversable Seq
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Seq a -> f (Seq b) Source # sequenceA :: Applicative f => Seq (f a) -> f (Seq a) Source # mapM :: Monad m => (a -> m b) -> Seq a -> m (Seq b) Source # sequence :: Monad m => Seq (m a) -> m (Seq a) Source #
Traversable ViewL
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> ViewL a -> f (ViewL b) Source # sequenceA :: Applicative f => ViewL (f a) -> f (ViewL a) Source # mapM :: Monad m => (a -> m b) -> ViewL a -> m (ViewL b) Source # sequence :: Monad m => ViewL (m a) -> m (ViewL a) Source #
Traversable ViewR
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> ViewR a -> f (ViewR b) Source # sequenceA :: Applicative f => ViewR (f a) -> f (ViewR a) Source # mapM :: Monad m => (a -> m b) -> ViewR a -> m (ViewR b) Source # sequence :: Monad m => ViewR (m a) -> m (ViewR a) Source #
Traversable Tree
Instance details Defined in Data.Tree Methods traverse :: Applicative f => (a -> f b) -> Tree a -> f (Tree b) Source # sequenceA :: Applicative f => Tree (f a) -> f (Tree a) Source # mapM :: Monad m => (a -> m b) -> Tree a -> m (Tree b) Source # sequence :: Monad m => Tree (m a) -> m (Tree a) Source #
Traversable Interval
Instance details Defined in Numeric.Interval.Kaucher Methods traverse :: Applicative f => (a -> f b) -> Interval a -> f (Interval b) Source # sequenceA :: Applicative f => Interval (f a) -> f (Interval a) Source # mapM :: Monad m => (a -> m b) -> Interval a -> m (Interval b) Source # sequence :: Monad m => Interval (m a) -> m (Interval a) Source #
Traversable Plucker
Instance details Defined in Linear.Plucker Methods traverse :: Applicative f => (a -> f b) -> Plucker a -> f (Plucker b) Source # sequenceA :: Applicative f => Plucker (f a) -> f (Plucker a) Source # mapM :: Monad m => (a -> m b) -> Plucker a -> m (Plucker b) Source # sequence :: Monad m => Plucker (m a) -> m (Plucker a) Source #
Traversable Quaternion
Instance details Defined in Linear.Quaternion Methods traverse :: Applicative f => (a -> f b) -> Quaternion a -> f (Quaternion b) Source # sequenceA :: Applicative f => Quaternion (f a) -> f (Quaternion a) Source # mapM :: Monad m => (a -> m b) -> Quaternion a -> m (Quaternion b) Source # sequence :: Monad m => Quaternion (m a) -> m (Quaternion a) Source #
Traversable V0
Instance details Defined in Linear.V0 Methods traverse :: Applicative f => (a -> f b) -> V0 a -> f (V0 b) Source # sequenceA :: Applicative f => V0 (f a) -> f (V0 a) Source # mapM :: Monad m => (a -> m b) -> V0 a -> m (V0 b) Source # sequence :: Monad m => V0 (m a) -> m (V0 a) Source #
Traversable V1
Instance details Defined in Linear.V1 Methods traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b) Source # sequenceA :: Applicative f => V1 (f a) -> f (V1 a) Source # mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b) Source # sequence :: Monad m => V1 (m a) -> m (V1 a) Source #
Traversable V2
Instance details Defined in Linear.V2 Methods traverse :: Applicative f => (a -> f b) -> V2 a -> f (V2 b) Source # sequenceA :: Applicative f => V2 (f a) -> f (V2 a) Source # mapM :: Monad m => (a -> m b) -> V2 a -> m (V2 b) Source # sequence :: Monad m => V2 (m a) -> m (V2 a) Source #
Traversable V3
Instance details Defined in Linear.V3 Methods traverse :: Applicative f => (a -> f b) -> V3 a -> f (V3 b) Source # sequenceA :: Applicative f => V3 (f a) -> f (V3 a) Source # mapM :: Monad m => (a -> m b) -> V3 a -> m (V3 b) Source # sequence :: Monad m => V3 (m a) -> m (V3 a) Source #
Traversable V4
Instance details Defined in Linear.V4 Methods traverse :: Applicative f => (a -> f b) -> V4 a -> f (V4 b) Source # sequenceA :: Applicative f => V4 (f a) -> f (V4 a) Source # mapM :: Monad m => (a -> m b) -> V4 a -> m (V4 b) Source # sequence :: Monad m => V4 (m a) -> m (V4 a) Source #
Traversable Deletable
Instance details Defined in Data.Monoid.Deletable Methods traverse :: Applicative f => (a -> f b) -> Deletable a -> f (Deletable b) Source # sequenceA :: Applicative f => Deletable (f a) -> f (Deletable a) Source # mapM :: Monad m => (a -> m b) -> Deletable a -> m (Deletable b) Source # sequence :: Monad m => Deletable (m a) -> m (Deletable a) Source #
Traversable Recommend
Instance details Defined in Data.Monoid.Recommend Methods traverse :: Applicative f => (a -> f b) -> Recommend a -> f (Recommend b) Source # sequenceA :: Applicative f => Recommend (f a) -> f (Recommend a) Source # mapM :: Monad m => (a -> m b) -> Recommend a -> m (Recommend b) Source # sequence :: Monad m => Recommend (m a) -> m (Recommend a) Source #
Traversable SimpleDocStream
Instance details Defined in Prettyprinter.Internal Methods traverse :: Applicative f => (a -> f b) -> SimpleDocStream a -> f (SimpleDocStream b) Source # sequenceA :: Applicative f => SimpleDocStream (f a) -> f (SimpleDocStream a) Source # mapM :: Monad m => (a -> m b) -> SimpleDocStream a -> m (SimpleDocStream b) Source # sequence :: Monad m => SimpleDocStream (m a) -> m (SimpleDocStream a) Source #
Traversable Array
Instance details Defined in Data.Primitive.Array Methods traverse :: Applicative f => (a -> f b) -> Array a -> f (Array b) Source # sequenceA :: Applicative f => Array (f a) -> f (Array a) Source # mapM :: Monad m => (a -> m b) -> Array a -> m (Array b) Source # sequence :: Monad m => Array (m a) -> m (Array a) Source #
Traversable SmallArray
Instance details Defined in Data.Primitive.SmallArray Methods traverse :: Applicative f => (a -> f b) -> SmallArray a -> f (SmallArray b) Source # sequenceA :: Applicative f => SmallArray (f a) -> f (SmallArray a) Source # mapM :: Monad m => (a -> m b) -> SmallArray a -> m (SmallArray b) Source # sequence :: Monad m => SmallArray (m a) -> m (SmallArray a) Source #
Traversable Maybe
Instance details Defined in Data.Strict.Maybe Methods traverse :: Applicative f => (a -> f b) -> Maybe a -> f (Maybe b) Source # sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a) Source # mapM :: Monad m => (a -> m b) -> Maybe a -> m (Maybe b) Source # sequence :: Monad m => Maybe (m a) -> m (Maybe a) Source #
Traversable Vector
Instance details Defined in Data.Vector Methods traverse :: Applicative f => (a -> f b) -> Vector a -> f (Vector b) Source # sequenceA :: Applicative f => Vector (f a) -> f (Vector a) Source # mapM :: Monad m => (a -> m b) -> Vector a -> m (Vector b) Source # sequence :: Monad m => Vector (m a) -> m (Vector a) Source #
Traversable Maybe	Since: base-2.1
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Maybe a -> f (Maybe b) Source # sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a) Source # mapM :: Monad m => (a -> m b) -> Maybe a -> m (Maybe b) Source # sequence :: Monad m => Maybe (m a) -> m (Maybe a) Source #
Traversable Solo	Since: base-4.15
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Solo a -> f (Solo b) Source # sequenceA :: Applicative f => Solo (f a) -> f (Solo a) Source # mapM :: Monad m => (a -> m b) -> Solo a -> m (Solo b) Source # sequence :: Monad m => Solo (m a) -> m (Solo a) Source #
Traversable List	Since: base-2.1
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> [a] -> f [b] Source # sequenceA :: Applicative f => [f a] -> f [a] Source # mapM :: Monad m => (a -> m b) -> [a] -> m [b] Source # sequence :: Monad m => [m a] -> m [a] Source #
Traversable (Either a)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> Either a a0 -> f (Either a b) Source # sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0) Source # mapM :: Monad m => (a0 -> m b) -> Either a a0 -> m (Either a b) Source # sequence :: Monad m => Either a (m a0) -> m (Either a a0) Source #
Traversable (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Proxy a -> f (Proxy b) Source # sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a) Source # mapM :: Monad m => (a -> m b) -> Proxy a -> m (Proxy b) Source # sequence :: Monad m => Proxy (m a) -> m (Proxy a) Source #
Traversable (Arg a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a0 -> f b) -> Arg a a0 -> f (Arg a b) Source # sequenceA :: Applicative f => Arg a (f a0) -> f (Arg a a0) Source # mapM :: Monad m => (a0 -> m b) -> Arg a a0 -> m (Arg a b) Source # sequence :: Monad m => Arg a (m a0) -> m (Arg a a0) Source #
Ix i => Traversable (Array i)	Since: base-2.1
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Array i a -> f (Array i b) Source # sequenceA :: Applicative f => Array i (f a) -> f (Array i a) Source # mapM :: Monad m => (a -> m b) -> Array i a -> m (Array i b) Source # sequence :: Monad m => Array i (m a) -> m (Array i a) Source #
Traversable (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> U1 a -> f (U1 b) Source # sequenceA :: Applicative f => U1 (f a) -> f (U1 a) Source # mapM :: Monad m => (a -> m b) -> U1 a -> m (U1 b) Source # sequence :: Monad m => U1 (m a) -> m (U1 a) Source #
Traversable (UAddr :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UAddr a -> f (UAddr b) Source # sequenceA :: Applicative f => UAddr (f a) -> f (UAddr a) Source # mapM :: Monad m => (a -> m b) -> UAddr a -> m (UAddr b) Source # sequence :: Monad m => UAddr (m a) -> m (UAddr a) Source #
Traversable (UChar :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UChar a -> f (UChar b) Source # sequenceA :: Applicative f => UChar (f a) -> f (UChar a) Source # mapM :: Monad m => (a -> m b) -> UChar a -> m (UChar b) Source # sequence :: Monad m => UChar (m a) -> m (UChar a) Source #
Traversable (UDouble :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UDouble a -> f (UDouble b) Source # sequenceA :: Applicative f => UDouble (f a) -> f (UDouble a) Source # mapM :: Monad m => (a -> m b) -> UDouble a -> m (UDouble b) Source # sequence :: Monad m => UDouble (m a) -> m (UDouble a) Source #
Traversable (UFloat :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UFloat a -> f (UFloat b) Source # sequenceA :: Applicative f => UFloat (f a) -> f (UFloat a) Source # mapM :: Monad m => (a -> m b) -> UFloat a -> m (UFloat b) Source # sequence :: Monad m => UFloat (m a) -> m (UFloat a) Source #
Traversable (UInt :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UInt a -> f (UInt b) Source # sequenceA :: Applicative f => UInt (f a) -> f (UInt a) Source # mapM :: Monad m => (a -> m b) -> UInt a -> m (UInt b) Source # sequence :: Monad m => UInt (m a) -> m (UInt a) Source #
Traversable (UWord :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UWord a -> f (UWord b) Source # sequenceA :: Applicative f => UWord (f a) -> f (UWord a) Source # mapM :: Monad m => (a -> m b) -> UWord a -> m (UWord b) Source # sequence :: Monad m => UWord (m a) -> m (UWord a) Source #
Traversable (V1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b) Source # sequenceA :: Applicative f => V1 (f a) -> f (V1 a) Source # mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b) Source # sequence :: Monad m => V1 (m a) -> m (V1 a) Source #
Traversable (Map k)	Traverses in order of increasing key.
Instance details Defined in Data.Map.Internal Methods traverse :: Applicative f => (a -> f b) -> Map k a -> f (Map k b) Source # sequenceA :: Applicative f => Map k (f a) -> f (Map k a) Source # mapM :: Monad m => (a -> m b) -> Map k a -> m (Map k b) Source # sequence :: Monad m => Map k (m a) -> m (Map k a) Source #
Traversable f => Traversable (Cofree f)
Instance details Defined in Control.Comonad.Cofree Methods traverse :: Applicative f0 => (a -> f0 b) -> Cofree f a -> f0 (Cofree f b) Source # sequenceA :: Applicative f0 => Cofree f (f0 a) -> f0 (Cofree f a) Source # mapM :: Monad m => (a -> m b) -> Cofree f a -> m (Cofree f b) Source # sequence :: Monad m => Cofree f (m a) -> m (Cofree f a) Source #
Traversable f => Traversable (Free f)
Instance details Defined in Control.Monad.Free Methods traverse :: Applicative f0 => (a -> f0 b) -> Free f a -> f0 (Free f b) Source # sequenceA :: Applicative f0 => Free f (f0 a) -> f0 (Free f a) Source # mapM :: Monad m => (a -> m b) -> Free f a -> m (Free f b) Source # sequence :: Monad m => Free f (m a) -> m (Free f a) Source #
Traversable f => Traversable (Yoneda f)
Instance details Defined in Data.Functor.Yoneda Methods traverse :: Applicative f0 => (a -> f0 b) -> Yoneda f a -> f0 (Yoneda f b) Source # sequenceA :: Applicative f0 => Yoneda f (f0 a) -> f0 (Yoneda f a) Source # mapM :: Monad m => (a -> m b) -> Yoneda f a -> m (Yoneda f b) Source # sequence :: Monad m => Yoneda f (m a) -> m (Yoneda f a) Source #
Traversable (Level i)
Instance details Defined in Control.Lens.Internal.Level Methods traverse :: Applicative f => (a -> f b) -> Level i a -> f (Level i b) Source # sequenceA :: Applicative f => Level i (f a) -> f (Level i a) Source # mapM :: Monad m => (a -> m b) -> Level i a -> m (Level i b) Source # sequence :: Monad m => Level i (m a) -> m (Level i a) Source #
Traversable f => Traversable (Point f)
Instance details Defined in Linear.Affine Methods traverse :: Applicative f0 => (a -> f0 b) -> Point f a -> f0 (Point f b) Source # sequenceA :: Applicative f0 => Point f (f0 a) -> f0 (Point f a) Source # mapM :: Monad m => (a -> m b) -> Point f a -> m (Point f b) Source # sequence :: Monad m => Point f (m a) -> m (Point f a) Source #
Traversable (Inf p)
Instance details Defined in Data.Monoid.Inf Methods traverse :: Applicative f => (a -> f b) -> Inf p a -> f (Inf p b) Source # sequenceA :: Applicative f => Inf p (f a) -> f (Inf p a) Source # mapM :: Monad m => (a -> m b) -> Inf p a -> m (Inf p b) Source # sequence :: Monad m => Inf p (m a) -> m (Inf p a) Source #
Traversable (Either e)
Instance details Defined in Data.Strict.Either Methods traverse :: Applicative f => (a -> f b) -> Either e a -> f (Either e b) Source # sequenceA :: Applicative f => Either e (f a) -> f (Either e a) Source # mapM :: Monad m => (a -> m b) -> Either e a -> m (Either e b) Source # sequence :: Monad m => Either e (m a) -> m (Either e a) Source #
Traversable (These a)
Instance details Defined in Data.Strict.These Methods traverse :: Applicative f => (a0 -> f b) -> These a a0 -> f (These a b) Source # sequenceA :: Applicative f => These a (f a0) -> f (These a a0) Source # mapM :: Monad m => (a0 -> m b) -> These a a0 -> m (These a b) Source # sequence :: Monad m => These a (m a0) -> m (These a a0) Source #
Traversable (Pair e)
Instance details Defined in Data.Strict.Tuple Methods traverse :: Applicative f => (a -> f b) -> Pair e a -> f (Pair e b) Source # sequenceA :: Applicative f => Pair e (f a) -> f (Pair e a) Source # mapM :: Monad m => (a -> m b) -> Pair e a -> m (Pair e b) Source # sequence :: Monad m => Pair e (m a) -> m (Pair e a) Source #
Traversable (These a)
Instance details Defined in Data.These Methods traverse :: Applicative f => (a0 -> f b) -> These a a0 -> f (These a b) Source # sequenceA :: Applicative f => These a (f a0) -> f (These a a0) Source # mapM :: Monad m => (a0 -> m b) -> These a a0 -> m (These a b) Source # sequence :: Monad m => These a (m a0) -> m (These a a0) Source #
Traversable f => Traversable (Lift f)
Instance details Defined in Control.Applicative.Lift Methods traverse :: Applicative f0 => (a -> f0 b) -> Lift f a -> f0 (Lift f b) Source # sequenceA :: Applicative f0 => Lift f (f0 a) -> f0 (Lift f a) Source # mapM :: Monad m => (a -> m b) -> Lift f a -> m (Lift f b) Source # sequence :: Monad m => Lift f (m a) -> m (Lift f a) Source #
Traversable f => Traversable (MaybeT f)
Instance details Defined in Control.Monad.Trans.Maybe Methods traverse :: Applicative f0 => (a -> f0 b) -> MaybeT f a -> f0 (MaybeT f b) Source # sequenceA :: Applicative f0 => MaybeT f (f0 a) -> f0 (MaybeT f a) Source # mapM :: Monad m => (a -> m b) -> MaybeT f a -> m (MaybeT f b) Source # sequence :: Monad m => MaybeT f (m a) -> m (MaybeT f a) Source #
Traversable (HashMap k)
Instance details Defined in Data.HashMap.Internal Methods traverse :: Applicative f => (a -> f b) -> HashMap k a -> f (HashMap k b) Source # sequenceA :: Applicative f => HashMap k (f a) -> f (HashMap k a) Source # mapM :: Monad m => (a -> m b) -> HashMap k a -> m (HashMap k b) Source # sequence :: Monad m => HashMap k (m a) -> m (HashMap k a) Source #
Traversable ((,) a)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> (a, a0) -> f (a, b) Source # sequenceA :: Applicative f => (a, f a0) -> f (a, a0) Source # mapM :: Monad m => (a0 -> m b) -> (a, a0) -> m (a, b) Source # sequence :: Monad m => (a, m a0) -> m (a, a0) Source #
Traversable (Const m :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Const m a -> f (Const m b) Source # sequenceA :: Applicative f => Const m (f a) -> f (Const m a) Source # mapM :: Monad m0 => (a -> m0 b) -> Const m a -> m0 (Const m b) Source # sequence :: Monad m0 => Const m (m0 a) -> m0 (Const m a) Source #
Traversable f => Traversable (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> Ap f a -> f0 (Ap f b) Source # sequenceA :: Applicative f0 => Ap f (f0 a) -> f0 (Ap f a) Source # mapM :: Monad m => (a -> m b) -> Ap f a -> m (Ap f b) Source # sequence :: Monad m => Ap f (m a) -> m (Ap f a) Source #
Traversable f => Traversable (Alt f)	Since: base-4.12.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> Alt f a -> f0 (Alt f b) Source # sequenceA :: Applicative f0 => Alt f (f0 a) -> f0 (Alt f a) Source # mapM :: Monad m => (a -> m b) -> Alt f a -> m (Alt f b) Source # sequence :: Monad m => Alt f (m a) -> m (Alt f a) Source #
Traversable f => Traversable (Rec1 f)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> Rec1 f a -> f0 (Rec1 f b) Source # sequenceA :: Applicative f0 => Rec1 f (f0 a) -> f0 (Rec1 f a) Source # mapM :: Monad m => (a -> m b) -> Rec1 f a -> m (Rec1 f b) Source # sequence :: Monad m => Rec1 f (m a) -> m (Rec1 f a) Source #
Bitraversable p => Traversable (Fix p)
Instance details Defined in Data.Bifunctor.Fix Methods traverse :: Applicative f => (a -> f b) -> Fix p a -> f (Fix p b) Source # sequenceA :: Applicative f => Fix p (f a) -> f (Fix p a) Source # mapM :: Monad m => (a -> m b) -> Fix p a -> m (Fix p b) Source # sequence :: Monad m => Fix p (m a) -> m (Fix p a) Source #
Bitraversable p => Traversable (Join p)
Instance details Defined in Data.Bifunctor.Join Methods traverse :: Applicative f => (a -> f b) -> Join p a -> f (Join p b) Source # sequenceA :: Applicative f => Join p (f a) -> f (Join p a) Source # mapM :: Monad m => (a -> m b) -> Join p a -> m (Join p b) Source # sequence :: Monad m => Join p (m a) -> m (Join p a) Source #
Traversable f => Traversable (CofreeF f a)
Instance details Defined in Control.Comonad.Trans.Cofree Methods traverse :: Applicative f0 => (a0 -> f0 b) -> CofreeF f a a0 -> f0 (CofreeF f a b) Source # sequenceA :: Applicative f0 => CofreeF f a (f0 a0) -> f0 (CofreeF f a a0) Source # mapM :: Monad m => (a0 -> m b) -> CofreeF f a a0 -> m (CofreeF f a b) Source # sequence :: Monad m => CofreeF f a (m a0) -> m (CofreeF f a a0) Source #
(Traversable f, Traversable w) => Traversable (CofreeT f w)
Instance details Defined in Control.Comonad.Trans.Cofree Methods traverse :: Applicative f0 => (a -> f0 b) -> CofreeT f w a -> f0 (CofreeT f w b) Source # sequenceA :: Applicative f0 => CofreeT f w (f0 a) -> f0 (CofreeT f w a) Source # mapM :: Monad m => (a -> m b) -> CofreeT f w a -> m (CofreeT f w b) Source # sequence :: Monad m => CofreeT f w (m a) -> m (CofreeT f w a) Source #
Traversable f => Traversable (FreeF f a)
Instance details Defined in Control.Monad.Trans.Free Methods traverse :: Applicative f0 => (a0 -> f0 b) -> FreeF f a a0 -> f0 (FreeF f a b) Source # sequenceA :: Applicative f0 => FreeF f a (f0 a0) -> f0 (FreeF f a a0) Source # mapM :: Monad m => (a0 -> m b) -> FreeF f a a0 -> m (FreeF f a b) Source # sequence :: Monad m => FreeF f a (m a0) -> m (FreeF f a a0) Source #
(Monad m, Traversable m, Traversable f) => Traversable (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods traverse :: Applicative f0 => (a -> f0 b) -> FreeT f m a -> f0 (FreeT f m b) Source # sequenceA :: Applicative f0 => FreeT f m (f0 a) -> f0 (FreeT f m a) Source # mapM :: Monad m0 => (a -> m0 b) -> FreeT f m a -> m0 (FreeT f m b) Source # sequence :: Monad m0 => FreeT f m (m0 a) -> m0 (FreeT f m a) Source #
Traversable f => Traversable (AlongsideLeft f b)
Instance details Defined in Control.Lens.Internal.Getter Methods traverse :: Applicative f0 => (a -> f0 b0) -> AlongsideLeft f b a -> f0 (AlongsideLeft f b b0) Source # sequenceA :: Applicative f0 => AlongsideLeft f b (f0 a) -> f0 (AlongsideLeft f b a) Source # mapM :: Monad m => (a -> m b0) -> AlongsideLeft f b a -> m (AlongsideLeft f b b0) Source # sequence :: Monad m => AlongsideLeft f b (m a) -> m (AlongsideLeft f b a) Source #
Traversable f => Traversable (AlongsideRight f a)
Instance details Defined in Control.Lens.Internal.Getter Methods traverse :: Applicative f0 => (a0 -> f0 b) -> AlongsideRight f a a0 -> f0 (AlongsideRight f a b) Source # sequenceA :: Applicative f0 => AlongsideRight f a (f0 a0) -> f0 (AlongsideRight f a a0) Source # mapM :: Monad m => (a0 -> m b) -> AlongsideRight f a a0 -> m (AlongsideRight f a b) Source # sequence :: Monad m => AlongsideRight f a (m a0) -> m (AlongsideRight f a a0) Source #
Traversable (V n)
Instance details Defined in Linear.V Methods traverse :: Applicative f => (a -> f b) -> V n a -> f (V n b) Source # sequenceA :: Applicative f => V n (f a) -> f (V n a) Source # mapM :: Monad m => (a -> m b) -> V n a -> m (V n b) Source # sequence :: Monad m => V n (m a) -> m (V n a) Source #
Traversable (Tagged s)
Instance details Defined in Data.Tagged Methods traverse :: Applicative f => (a -> f b) -> Tagged s a -> f (Tagged s b) Source # sequenceA :: Applicative f => Tagged s (f a) -> f (Tagged s a) Source # mapM :: Monad m => (a -> m b) -> Tagged s a -> m (Tagged s b) Source # sequence :: Monad m => Tagged s (m a) -> m (Tagged s a) Source #
Traversable f => Traversable (Backwards f)	Derived instance.
Instance details Defined in Control.Applicative.Backwards Methods traverse :: Applicative f0 => (a -> f0 b) -> Backwards f a -> f0 (Backwards f b) Source # sequenceA :: Applicative f0 => Backwards f (f0 a) -> f0 (Backwards f a) Source # mapM :: Monad m => (a -> m b) -> Backwards f a -> m (Backwards f b) Source # sequence :: Monad m => Backwards f (m a) -> m (Backwards f a) Source #
Traversable f => Traversable (ExceptT e f)
Instance details Defined in Control.Monad.Trans.Except Methods traverse :: Applicative f0 => (a -> f0 b) -> ExceptT e f a -> f0 (ExceptT e f b) Source # sequenceA :: Applicative f0 => ExceptT e f (f0 a) -> f0 (ExceptT e f a) Source # mapM :: Monad m => (a -> m b) -> ExceptT e f a -> m (ExceptT e f b) Source # sequence :: Monad m => ExceptT e f (m a) -> m (ExceptT e f a) Source #
Traversable f => Traversable (IdentityT f)
Instance details Defined in Control.Monad.Trans.Identity Methods traverse :: Applicative f0 => (a -> f0 b) -> IdentityT f a -> f0 (IdentityT f b) Source # sequenceA :: Applicative f0 => IdentityT f (f0 a) -> f0 (IdentityT f a) Source # mapM :: Monad m => (a -> m b) -> IdentityT f a -> m (IdentityT f b) Source # sequence :: Monad m => IdentityT f (m a) -> m (IdentityT f a) Source #
Traversable f => Traversable (WriterT w f)
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods traverse :: Applicative f0 => (a -> f0 b) -> WriterT w f a -> f0 (WriterT w f b) Source # sequenceA :: Applicative f0 => WriterT w f (f0 a) -> f0 (WriterT w f a) Source # mapM :: Monad m => (a -> m b) -> WriterT w f a -> m (WriterT w f b) Source # sequence :: Monad m => WriterT w f (m a) -> m (WriterT w f a) Source #
Traversable f => Traversable (WriterT w f)
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods traverse :: Applicative f0 => (a -> f0 b) -> WriterT w f a -> f0 (WriterT w f b) Source # sequenceA :: Applicative f0 => WriterT w f (f0 a) -> f0 (WriterT w f a) Source # mapM :: Monad m => (a -> m b) -> WriterT w f a -> m (WriterT w f b) Source # sequence :: Monad m => WriterT w f (m a) -> m (WriterT w f a) Source #
Traversable (Constant a :: Type -> Type)
Instance details Defined in Data.Functor.Constant Methods traverse :: Applicative f => (a0 -> f b) -> Constant a a0 -> f (Constant a b) Source # sequenceA :: Applicative f => Constant a (f a0) -> f (Constant a a0) Source # mapM :: Monad m => (a0 -> m b) -> Constant a a0 -> m (Constant a b) Source # sequence :: Monad m => Constant a (m a0) -> m (Constant a a0) Source #
Traversable f => Traversable (Reverse f)	Traverse from right to left.
Instance details Defined in Data.Functor.Reverse Methods traverse :: Applicative f0 => (a -> f0 b) -> Reverse f a -> f0 (Reverse f b) Source # sequenceA :: Applicative f0 => Reverse f (f0 a) -> f0 (Reverse f a) Source # mapM :: Monad m => (a -> m b) -> Reverse f a -> m (Reverse f b) Source # sequence :: Monad m => Reverse f (m a) -> m (Reverse f a) Source #
(Traversable f, Traversable g) => Traversable (Product f g)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods traverse :: Applicative f0 => (a -> f0 b) -> Product f g a -> f0 (Product f g b) Source # sequenceA :: Applicative f0 => Product f g (f0 a) -> f0 (Product f g a) Source # mapM :: Monad m => (a -> m b) -> Product f g a -> m (Product f g b) Source # sequence :: Monad m => Product f g (m a) -> m (Product f g a) Source #
(Traversable f, Traversable g) => Traversable (Sum f g)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods traverse :: Applicative f0 => (a -> f0 b) -> Sum f g a -> f0 (Sum f g b) Source # sequenceA :: Applicative f0 => Sum f g (f0 a) -> f0 (Sum f g a) Source # mapM :: Monad m => (a -> m b) -> Sum f g a -> m (Sum f g b) Source # sequence :: Monad m => Sum f g (m a) -> m (Sum f g a) Source #
(Traversable f, Traversable g) => Traversable (f :*: g)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :: g) a -> f0 ((f :: g) b) Source # sequenceA :: Applicative f0 => (f :: g) (f0 a) -> f0 ((f :: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :: g) a -> m ((f :: g) b) Source # sequence :: Monad m => (f :: g) (m a) -> m ((f :: g) a) Source #
(Traversable f, Traversable g) => Traversable (f :+: g)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) Source # sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b) Source # sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a) Source #
Traversable (K1 i c :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> K1 i c a -> f (K1 i c b) Source # sequenceA :: Applicative f => K1 i c (f a) -> f (K1 i c a) Source # mapM :: Monad m => (a -> m b) -> K1 i c a -> m (K1 i c b) Source # sequence :: Monad m => K1 i c (m a) -> m (K1 i c a) Source #
Traversable (Magma i t b)
Instance details Defined in Control.Lens.Internal.Magma Methods traverse :: Applicative f => (a -> f b0) -> Magma i t b a -> f (Magma i t b b0) Source # sequenceA :: Applicative f => Magma i t b (f a) -> f (Magma i t b a) Source # mapM :: Monad m => (a -> m b0) -> Magma i t b a -> m (Magma i t b b0) Source # sequence :: Monad m => Magma i t b (m a) -> m (Magma i t b a) Source #
Traversable (Forget r a :: Type -> Type)
Instance details Defined in Data.Profunctor.Types Methods traverse :: Applicative f => (a0 -> f b) -> Forget r a a0 -> f (Forget r a b) Source # sequenceA :: Applicative f => Forget r a (f a0) -> f (Forget r a a0) Source # mapM :: Monad m => (a0 -> m b) -> Forget r a a0 -> m (Forget r a b) Source # sequence :: Monad m => Forget r a (m a0) -> m (Forget r a a0) Source #
(Traversable f, Traversable g) => Traversable (Compose f g)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose Methods traverse :: Applicative f0 => (a -> f0 b) -> Compose f g a -> f0 (Compose f g b) Source # sequenceA :: Applicative f0 => Compose f g (f0 a) -> f0 (Compose f g a) Source # mapM :: Monad m => (a -> m b) -> Compose f g a -> m (Compose f g b) Source # sequence :: Monad m => Compose f g (m a) -> m (Compose f g a) Source #
(Traversable f, Traversable g) => Traversable (f :.: g)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) Source # sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) Source # sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) Source #
Traversable f => Traversable (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b) Source # sequenceA :: Applicative f0 => M1 i c f (f0 a) -> f0 (M1 i c f a) Source # mapM :: Monad m => (a -> m b) -> M1 i c f a -> m (M1 i c f b) Source # sequence :: Monad m => M1 i c f (m a) -> m (M1 i c f a) Source #
Traversable (Clown f a :: Type -> Type)
Instance details Defined in Data.Bifunctor.Clown Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Clown f a a0 -> f0 (Clown f a b) Source # sequenceA :: Applicative f0 => Clown f a (f0 a0) -> f0 (Clown f a a0) Source # mapM :: Monad m => (a0 -> m b) -> Clown f a a0 -> m (Clown f a b) Source # sequence :: Monad m => Clown f a (m a0) -> m (Clown f a a0) Source #
Bitraversable p => Traversable (Flip p a)
Instance details Defined in Data.Bifunctor.Flip Methods traverse :: Applicative f => (a0 -> f b) -> Flip p a a0 -> f (Flip p a b) Source # sequenceA :: Applicative f => Flip p a (f a0) -> f (Flip p a a0) Source # mapM :: Monad m => (a0 -> m b) -> Flip p a a0 -> m (Flip p a b) Source # sequence :: Monad m => Flip p a (m a0) -> m (Flip p a a0) Source #
Traversable g => Traversable (Joker g a)
Instance details Defined in Data.Bifunctor.Joker Methods traverse :: Applicative f => (a0 -> f b) -> Joker g a a0 -> f (Joker g a b) Source # sequenceA :: Applicative f => Joker g a (f a0) -> f (Joker g a a0) Source # mapM :: Monad m => (a0 -> m b) -> Joker g a a0 -> m (Joker g a b) Source # sequence :: Monad m => Joker g a (m a0) -> m (Joker g a a0) Source #
Bitraversable p => Traversable (WrappedBifunctor p a)
Instance details Defined in Data.Bifunctor.Wrapped Methods traverse :: Applicative f => (a0 -> f b) -> WrappedBifunctor p a a0 -> f (WrappedBifunctor p a b) Source # sequenceA :: Applicative f => WrappedBifunctor p a (f a0) -> f (WrappedBifunctor p a a0) Source # mapM :: Monad m => (a0 -> m b) -> WrappedBifunctor p a a0 -> m (WrappedBifunctor p a b) Source # sequence :: Monad m => WrappedBifunctor p a (m a0) -> m (WrappedBifunctor p a a0) Source #
(Traversable (f a), Traversable (g a)) => Traversable (Product f g a)
Instance details Defined in Data.Bifunctor.Product Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Product f g a a0 -> f0 (Product f g a b) Source # sequenceA :: Applicative f0 => Product f g a (f0 a0) -> f0 (Product f g a a0) Source # mapM :: Monad m => (a0 -> m b) -> Product f g a a0 -> m (Product f g a b) Source # sequence :: Monad m => Product f g a (m a0) -> m (Product f g a a0) Source #
(Traversable (f a), Traversable (g a)) => Traversable (Sum f g a)
Instance details Defined in Data.Bifunctor.Sum Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Sum f g a a0 -> f0 (Sum f g a b) Source # sequenceA :: Applicative f0 => Sum f g a (f0 a0) -> f0 (Sum f g a a0) Source # mapM :: Monad m => (a0 -> m b) -> Sum f g a a0 -> m (Sum f g a b) Source # sequence :: Monad m => Sum f g a (m a0) -> m (Sum f g a a0) Source #
(Traversable f, Bitraversable p) => Traversable (Tannen f p a)
Instance details Defined in Data.Bifunctor.Tannen Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Tannen f p a a0 -> f0 (Tannen f p a b) Source # sequenceA :: Applicative f0 => Tannen f p a (f0 a0) -> f0 (Tannen f p a a0) Source # mapM :: Monad m => (a0 -> m b) -> Tannen f p a a0 -> m (Tannen f p a b) Source # sequence :: Monad m => Tannen f p a (m a0) -> m (Tannen f p a a0) Source #
(Bitraversable p, Traversable g) => Traversable (Biff p f g a)
Instance details Defined in Data.Bifunctor.Biff Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Biff p f g a a0 -> f0 (Biff p f g a b) Source # sequenceA :: Applicative f0 => Biff p f g a (f0 a0) -> f0 (Biff p f g a a0) Source # mapM :: Monad m => (a0 -> m b) -> Biff p f g a a0 -> m (Biff p f g a b) Source # sequence :: Monad m => Biff p f g a (m a0) -> m (Biff p f g a a0) Source #

data (a :: k) :~: (b :: k) where infix 4 Source #

Propositional equality. If a :~: b is inhabited by some terminating value, then the type a is the same as the type b. To use this equality in practice, pattern-match on the a :~: b to get out the Refl constructor; in the body of the pattern-match, the compiler knows that a ~ b.

Since: base-4.7.0.0

Constructors

Refl :: forall {k} (a :: k). a :~: a

Instances

Instances details

Category ((:~:) :: k -> k -> Type)	Since: base-4.7.0.0
Instance details Defined in Control.Category Methods id :: forall (a :: k0). a :~: a Source # (.) :: forall (b :: k0) (c :: k0) (a :: k0). (b :~: c) -> (a :~: b) -> a :~: c Source #
TestEquality ((:~:) a :: k -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods testEquality :: forall (a0 :: k0) (b :: k0). (a :~: a0) -> (a :~: b) -> Maybe (a0 :~: b) Source #
NFData2 ((:~:) :: Type -> Type -> Type)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf2 :: (a -> ()) -> (b -> ()) -> (a :~: b) -> () Source #
NFData1 ((:~:) a)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a0 -> ()) -> (a :~: a0) -> () Source #
(a ~ b, Data a) => Data (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> (a :~: b) -> c (a :~: b) Source # gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (a :~: b) Source # toConstr :: (a :~: b) -> Constr Source # dataTypeOf :: (a :~: b) -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (a :~: b)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (a :~: b)) Source # gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a :~: b) -> a :~: b Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r Source # gmapQ :: (forall d. Data d => d -> u) -> (a :~: b) -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> (a :~: b) -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source #
a ~ b => Bounded (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods minBound :: a :~: b Source # maxBound :: a :~: b Source #
a ~ b => Enum (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods succ :: (a :~: b) -> a :~: b Source # pred :: (a :~: b) -> a :~: b Source # toEnum :: Int -> a :~: b Source # fromEnum :: (a :~: b) -> Int Source # enumFrom :: (a :~: b) -> [a :~: b] Source # enumFromThen :: (a :~: b) -> (a :~: b) -> [a :~: b] Source # enumFromTo :: (a :~: b) -> (a :~: b) -> [a :~: b] Source # enumFromThenTo :: (a :~: b) -> (a :~: b) -> (a :~: b) -> [a :~: b] Source #
a ~ b => Read (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods readsPrec :: Int -> ReadS (a :~: b) Source # readList :: ReadS [a :~: b] Source # readPrec :: ReadPrec (a :~: b) Source # readListPrec :: ReadPrec [a :~: b] Source #
Show (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods showsPrec :: Int -> (a :~: b) -> ShowS Source # show :: (a :~: b) -> String Source # showList :: [a :~: b] -> ShowS Source #
NFData (a :~: b)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods rnf :: (a :~: b) -> () Source #
Eq (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods (==) :: (a :~: b) -> (a :~: b) -> Bool Source # (/=) :: (a :~: b) -> (a :~: b) -> Bool Source #
Ord (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods compare :: (a :~: b) -> (a :~: b) -> Ordering Source # (<) :: (a :~: b) -> (a :~: b) -> Bool Source # (<=) :: (a :~: b) -> (a :~: b) -> Bool Source # (>) :: (a :~: b) -> (a :~: b) -> Bool Source # (>=) :: (a :~: b) -> (a :~: b) -> Bool Source # max :: (a :~: b) -> (a :~: b) -> a :~: b Source # min :: (a :~: b) -> (a :~: b) -> a :~: b Source #

newtype Const a (b :: k) Source #

The Const functor.

Constructors

Const
Fields getConst :: a

Instances

Instances details

Generic1 (Const a :: k -> Type)
Instance details Defined in Data.Functor.Const Associated Types type Rep1 (Const a) :: k -> Type Source # Methods from1 :: forall (a0 :: k0). Const a a0 -> Rep1 (Const a) a0 Source # to1 :: forall (a0 :: k0). Rep1 (Const a) a0 -> Const a a0 Source #
FoldableWithIndex Void (Const e :: Type -> Type)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Void -> a -> m) -> Const e a -> m # ifoldMap' :: Monoid m => (Void -> a -> m) -> Const e a -> m # ifoldr :: (Void -> a -> b -> b) -> b -> Const e a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> Const e a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> Const e a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> Const e a -> b #
FunctorWithIndex Void (Const e :: Type -> Type)
Instance details Defined in WithIndex Methods imap :: (Void -> a -> b) -> Const e a -> Const e b #
TraversableWithIndex Void (Const e :: Type -> Type)
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (Void -> a -> f b) -> Const e a -> f (Const e b) #
Unbox a => Vector Vector (Const a b)
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s (Const a b) -> ST s (Vector (Const a b)) basicUnsafeThaw :: Vector (Const a b) -> ST s (Mutable Vector s (Const a b)) basicLength :: Vector (Const a b) -> Int basicUnsafeSlice :: Int -> Int -> Vector (Const a b) -> Vector (Const a b) basicUnsafeIndexM :: Vector (Const a b) -> Int -> Box (Const a b) basicUnsafeCopy :: Mutable Vector s (Const a b) -> Vector (Const a b) -> ST s () elemseq :: Vector (Const a b) -> Const a b -> b0 -> b0
Unbox a => MVector MVector (Const a b)
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s (Const a b) -> Int basicUnsafeSlice :: Int -> Int -> MVector s (Const a b) -> MVector s (Const a b) basicOverlaps :: MVector s (Const a b) -> MVector s (Const a b) -> Bool basicUnsafeNew :: Int -> ST s (MVector s (Const a b)) basicInitialize :: MVector s (Const a b) -> ST s () basicUnsafeReplicate :: Int -> Const a b -> ST s (MVector s (Const a b)) basicUnsafeRead :: MVector s (Const a b) -> Int -> ST s (Const a b) basicUnsafeWrite :: MVector s (Const a b) -> Int -> Const a b -> ST s () basicClear :: MVector s (Const a b) -> ST s () basicSet :: MVector s (Const a b) -> Const a b -> ST s () basicUnsafeCopy :: MVector s (Const a b) -> MVector s (Const a b) -> ST s () basicUnsafeMove :: MVector s (Const a b) -> MVector s (Const a b) -> ST s () basicUnsafeGrow :: MVector s (Const a b) -> Int -> ST s (MVector s (Const a b))
Bifoldable (Const :: Type -> Type -> Type)	Since: base-4.10.0.0
Instance details Defined in Data.Bifoldable Methods bifold :: Monoid m => Const m m -> m Source # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Const a b -> m Source # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Const a b -> c Source # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Const a b -> c Source #
Bifunctor (Const :: Type -> Type -> Type)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> Const a c -> Const b d Source # first :: (a -> b) -> Const a c -> Const b c Source # second :: (b -> c) -> Const a b -> Const a c Source #
Bitraversable (Const :: Type -> Type -> Type)	Since: base-4.10.0.0
Instance details Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Const a b -> f (Const c d) Source #
NFData2 (Const :: Type -> Type -> Type)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf2 :: (a -> ()) -> (b -> ()) -> Const a b -> () Source #
Hashable2 (Const :: Type -> Type -> Type)
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> Const a b -> Int Source #
Biapply (Const :: Type -> Type -> Type)
Instance details Defined in Data.Functor.Bind.Class Methods (<<.>>) :: Const (a -> b) (c -> d) -> Const a c -> Const b d (.>>) :: Const a b -> Const c d -> Const c d (<<.) :: Const a b -> Const c d -> Const a b
Bitraversable1 (Const :: Type -> Type -> Type)
Instance details Defined in Data.Semigroup.Traversable.Class Methods bitraverse1 :: Apply f => (a -> f b) -> (c -> f d) -> Const a c -> f (Const b d) bisequence1 :: Apply f => Const (f a) (f b) -> f (Const a b)
Foldable (Const m :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Functor.Const Methods fold :: Monoid m0 => Const m m0 -> m0 Source # foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source # foldMap' :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source # foldr :: (a -> b -> b) -> b -> Const m a -> b Source # foldr' :: (a -> b -> b) -> b -> Const m a -> b Source # foldl :: (b -> a -> b) -> b -> Const m a -> b Source # foldl' :: (b -> a -> b) -> b -> Const m a -> b Source # foldr1 :: (a -> a -> a) -> Const m a -> a Source # foldl1 :: (a -> a -> a) -> Const m a -> a Source # toList :: Const m a -> [a] Source # null :: Const m a -> Bool Source # length :: Const m a -> Int Source # elem :: Eq a => a -> Const m a -> Bool Source # maximum :: Ord a => Const m a -> a Source # minimum :: Ord a => Const m a -> a Source # sum :: Num a => Const m a -> a Source # product :: Num a => Const m a -> a Source #
Contravariant (Const a :: Type -> Type)
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a0) -> Const a a0 -> Const a a' Source # (>$) :: b -> Const a b -> Const a a0 Source #
Traversable (Const m :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Const m a -> f (Const m b) Source # sequenceA :: Applicative f => Const m (f a) -> f (Const m a) Source # mapM :: Monad m0 => (a -> m0 b) -> Const m a -> m0 (Const m b) Source # sequence :: Monad m0 => Const m (m0 a) -> m0 (Const m a) Source #
Monoid m => Applicative (Const m :: Type -> Type)	Since: base-2.0.1
Instance details Defined in Data.Functor.Const Methods pure :: a -> Const m a Source # (<>) :: Const m (a -> b) -> Const m a -> Const m b Source # liftA2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c Source # (>) :: Const m a -> Const m b -> Const m b Source # (<*) :: Const m a -> Const m b -> Const m a Source #
Functor (Const m :: Type -> Type)	Since: base-2.1
Instance details Defined in Data.Functor.Const Methods fmap :: (a -> b) -> Const m a -> Const m b Source # (<$) :: a -> Const m b -> Const m a Source #
NFData a => NFData1 (Const a :: Type -> Type)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a0 -> ()) -> Const a a0 -> () Source #
Hashable a => Hashable1 (Const a :: Type -> Type)
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a0 -> Int) -> Int -> Const a a0 -> Int Source #
Semigroup m => Apply (Const m :: Type -> Type)
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Const m (a -> b) -> Const m a -> Const m b (.>) :: Const m a -> Const m b -> Const m b (<.) :: Const m a -> Const m b -> Const m a liftF2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c
Sieve (Forget r :: Type -> Type -> Type) (Const r :: Type -> Type)
Instance details Defined in Data.Profunctor.Sieve Methods sieve :: Forget r a b -> a -> Const r b Source #
(Typeable k, Data a, Typeable b) => Data (Const a b)	Since: base-4.10.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Const a b -> c (Const a b) Source # gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Const a b) Source # toConstr :: Const a b -> Constr Source # dataTypeOf :: Const a b -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Const a b)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Const a b)) Source # gmapT :: (forall b0. Data b0 => b0 -> b0) -> Const a b -> Const a b Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Const a b -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Const a b -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Const a b -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Const a b -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Const a b -> m (Const a b) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Const a b -> m (Const a b) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Const a b -> m (Const a b) Source #
IsString a => IsString (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.String Methods fromString :: String -> Const a b Source #
Storable a => Storable (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods sizeOf :: Const a b -> Int Source # alignment :: Const a b -> Int Source # peekElemOff :: Ptr (Const a b) -> Int -> IO (Const a b) Source # pokeElemOff :: Ptr (Const a b) -> Int -> Const a b -> IO () Source # peekByteOff :: Ptr b0 -> Int -> IO (Const a b) Source # pokeByteOff :: Ptr b0 -> Int -> Const a b -> IO () Source # peek :: Ptr (Const a b) -> IO (Const a b) Source # poke :: Ptr (Const a b) -> Const a b -> IO () Source #
Monoid a => Monoid (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods mempty :: Const a b Source # mappend :: Const a b -> Const a b -> Const a b Source # mconcat :: [Const a b] -> Const a b Source #
Semigroup a => Semigroup (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (<>) :: Const a b -> Const a b -> Const a b Source # sconcat :: NonEmpty (Const a b) -> Const a b Source # stimes :: Integral b0 => b0 -> Const a b -> Const a b Source #
Bits a => Bits (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (.&.) :: Const a b -> Const a b -> Const a b Source # (.\|.) :: Const a b -> Const a b -> Const a b Source # xor :: Const a b -> Const a b -> Const a b Source # complement :: Const a b -> Const a b Source # shift :: Const a b -> Int -> Const a b Source # rotate :: Const a b -> Int -> Const a b Source # zeroBits :: Const a b Source # bit :: Int -> Const a b Source # setBit :: Const a b -> Int -> Const a b Source # clearBit :: Const a b -> Int -> Const a b Source # complementBit :: Const a b -> Int -> Const a b Source # testBit :: Const a b -> Int -> Bool Source # bitSizeMaybe :: Const a b -> Maybe Int Source # bitSize :: Const a b -> Int Source # isSigned :: Const a b -> Bool Source # shiftL :: Const a b -> Int -> Const a b Source # unsafeShiftL :: Const a b -> Int -> Const a b Source # shiftR :: Const a b -> Int -> Const a b Source # unsafeShiftR :: Const a b -> Int -> Const a b Source # rotateL :: Const a b -> Int -> Const a b Source # rotateR :: Const a b -> Int -> Const a b Source # popCount :: Const a b -> Int Source #
FiniteBits a => FiniteBits (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods finiteBitSize :: Const a b -> Int Source # countLeadingZeros :: Const a b -> Int Source # countTrailingZeros :: Const a b -> Int Source #
Bounded a => Bounded (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods minBound :: Const a b Source # maxBound :: Const a b Source #
Enum a => Enum (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods succ :: Const a b -> Const a b Source # pred :: Const a b -> Const a b Source # toEnum :: Int -> Const a b Source # fromEnum :: Const a b -> Int Source # enumFrom :: Const a b -> [Const a b] Source # enumFromThen :: Const a b -> Const a b -> [Const a b] Source # enumFromTo :: Const a b -> Const a b -> [Const a b] Source # enumFromThenTo :: Const a b -> Const a b -> Const a b -> [Const a b] Source #
Floating a => Floating (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods pi :: Const a b Source # exp :: Const a b -> Const a b Source # log :: Const a b -> Const a b Source # sqrt :: Const a b -> Const a b Source # (**) :: Const a b -> Const a b -> Const a b Source # logBase :: Const a b -> Const a b -> Const a b Source # sin :: Const a b -> Const a b Source # cos :: Const a b -> Const a b Source # tan :: Const a b -> Const a b Source # asin :: Const a b -> Const a b Source # acos :: Const a b -> Const a b Source # atan :: Const a b -> Const a b Source # sinh :: Const a b -> Const a b Source # cosh :: Const a b -> Const a b Source # tanh :: Const a b -> Const a b Source # asinh :: Const a b -> Const a b Source # acosh :: Const a b -> Const a b Source # atanh :: Const a b -> Const a b Source # log1p :: Const a b -> Const a b Source # expm1 :: Const a b -> Const a b Source # log1pexp :: Const a b -> Const a b Source # log1mexp :: Const a b -> Const a b Source #
RealFloat a => RealFloat (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods floatRadix :: Const a b -> Integer Source # floatDigits :: Const a b -> Int Source # floatRange :: Const a b -> (Int, Int) Source # decodeFloat :: Const a b -> (Integer, Int) Source # encodeFloat :: Integer -> Int -> Const a b Source # exponent :: Const a b -> Int Source # significand :: Const a b -> Const a b Source # scaleFloat :: Int -> Const a b -> Const a b Source # isNaN :: Const a b -> Bool Source # isInfinite :: Const a b -> Bool Source # isDenormalized :: Const a b -> Bool Source # isNegativeZero :: Const a b -> Bool Source # isIEEE :: Const a b -> Bool Source # atan2 :: Const a b -> Const a b -> Const a b Source #
Generic (Const a b)
Instance details Defined in Data.Functor.Const Associated Types type Rep (Const a b) :: Type -> Type Source # Methods from :: Const a b -> Rep (Const a b) x Source # to :: Rep (Const a b) x -> Const a b Source #
Ix a => Ix (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods range :: (Const a b, Const a b) -> [Const a b] Source # index :: (Const a b, Const a b) -> Const a b -> Int Source # unsafeIndex :: (Const a b, Const a b) -> Const a b -> Int Source # inRange :: (Const a b, Const a b) -> Const a b -> Bool Source # rangeSize :: (Const a b, Const a b) -> Int Source # unsafeRangeSize :: (Const a b, Const a b) -> Int Source #
Num a => Num (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (+) :: Const a b -> Const a b -> Const a b Source # (-) :: Const a b -> Const a b -> Const a b Source # (*) :: Const a b -> Const a b -> Const a b Source # negate :: Const a b -> Const a b Source # abs :: Const a b -> Const a b Source # signum :: Const a b -> Const a b Source # fromInteger :: Integer -> Const a b Source #
Read a => Read (Const a b)	This instance would be equivalent to the derived instances of the `Const` newtype if the `getConst` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Const Methods readsPrec :: Int -> ReadS (Const a b) Source # readList :: ReadS [Const a b] Source # readPrec :: ReadPrec (Const a b) Source # readListPrec :: ReadPrec [Const a b] Source #
Fractional a => Fractional (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (/) :: Const a b -> Const a b -> Const a b Source # recip :: Const a b -> Const a b Source # fromRational :: Rational -> Const a b Source #
Integral a => Integral (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods quot :: Const a b -> Const a b -> Const a b Source # rem :: Const a b -> Const a b -> Const a b Source # div :: Const a b -> Const a b -> Const a b Source # mod :: Const a b -> Const a b -> Const a b Source # quotRem :: Const a b -> Const a b -> (Const a b, Const a b) Source # divMod :: Const a b -> Const a b -> (Const a b, Const a b) Source # toInteger :: Const a b -> Integer Source #
Real a => Real (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods toRational :: Const a b -> Rational Source #
RealFrac a => RealFrac (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods properFraction :: Integral b0 => Const a b -> (b0, Const a b) Source # truncate :: Integral b0 => Const a b -> b0 Source # round :: Integral b0 => Const a b -> b0 Source # ceiling :: Integral b0 => Const a b -> b0 Source # floor :: Integral b0 => Const a b -> b0 Source #
Show a => Show (Const a b)	This instance would be equivalent to the derived instances of the `Const` newtype if the `getConst` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Const Methods showsPrec :: Int -> Const a b -> ShowS Source # show :: Const a b -> String Source # showList :: [Const a b] -> ShowS Source #
NFData a => NFData (Const a b)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Const a b -> () Source #
Eq a => Eq (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (==) :: Const a b -> Const a b -> Bool Source # (/=) :: Const a b -> Const a b -> Bool Source #
Ord a => Ord (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods compare :: Const a b -> Const a b -> Ordering Source # (<) :: Const a b -> Const a b -> Bool Source # (<=) :: Const a b -> Const a b -> Bool Source # (>) :: Const a b -> Const a b -> Bool Source # (>=) :: Const a b -> Const a b -> Bool Source # max :: Const a b -> Const a b -> Const a b Source # min :: Const a b -> Const a b -> Const a b Source #
Hashable a => Hashable (Const a b)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Const a b -> Int Source # hash :: Const a b -> Int Source #
Wrapped (Const a x)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Const a x) Source # Methods _Wrapped' :: Iso' (Const a x) (Unwrapped (Const a x)) Source #
Pretty a => Pretty (Const a b)
Instance details Defined in Prettyprinter.Internal Methods pretty :: Const a b -> Doc ann # prettyList :: [Const a b] -> Doc ann #
Unbox a => Unbox (Const a b)
Instance details Defined in Data.Vector.Unboxed.Base
t ~ Const a' x' => Rewrapped (Const a x) t
Instance details Defined in Control.Lens.Wrapped
type Rep1 (Const a :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const type Rep1 (Const a :: k -> Type) = D1 ('MetaData "Const" "Data.Functor.Const" "base" 'True) (C1 ('MetaCons "Const" 'PrefixI 'True) (S1 ('MetaSel ('Just "getConst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
newtype MVector s (Const a b)
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s (Const a b) = MV_Const (MVector s a)
type Rep (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const type Rep (Const a b) = D1 ('MetaData "Const" "Data.Functor.Const" "base" 'True) (C1 ('MetaCons "Const" 'PrefixI 'True) (S1 ('MetaSel ('Just "getConst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
type Unwrapped (Const a x)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Const a x) = a
newtype Vector (Const a b)
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector (Const a b) = V_Const (Vector a)

newtype Identity a Source #

Identity functor and monad. (a non-strict monad)

Since: base-4.8.0.0

Constructors

Identity
Fields runIdentity :: a

Instances

Instances details

Representable Identity
Instance details Defined in Data.Functor.Rep Associated Types type Rep Identity Source # Methods tabulate :: (Rep Identity -> a) -> Identity a Source # index :: Identity a -> Rep Identity -> a Source #
MonadFix Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods mfix :: (a -> Identity a) -> Identity a Source #
Foldable Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods fold :: Monoid m => Identity m -> m Source # foldMap :: Monoid m => (a -> m) -> Identity a -> m Source # foldMap' :: Monoid m => (a -> m) -> Identity a -> m Source # foldr :: (a -> b -> b) -> b -> Identity a -> b Source # foldr' :: (a -> b -> b) -> b -> Identity a -> b Source # foldl :: (b -> a -> b) -> b -> Identity a -> b Source # foldl' :: (b -> a -> b) -> b -> Identity a -> b Source # foldr1 :: (a -> a -> a) -> Identity a -> a Source # foldl1 :: (a -> a -> a) -> Identity a -> a Source # toList :: Identity a -> [a] Source # null :: Identity a -> Bool Source # length :: Identity a -> Int Source # elem :: Eq a => a -> Identity a -> Bool Source # maximum :: Ord a => Identity a -> a Source # minimum :: Ord a => Identity a -> a Source # sum :: Num a => Identity a -> a Source # product :: Num a => Identity a -> a Source #
Traversable Identity	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Identity a -> f (Identity b) Source # sequenceA :: Applicative f => Identity (f a) -> f (Identity a) Source # mapM :: Monad m => (a -> m b) -> Identity a -> m (Identity b) Source # sequence :: Monad m => Identity (m a) -> m (Identity a) Source #
Applicative Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods pure :: a -> Identity a Source # (<>) :: Identity (a -> b) -> Identity a -> Identity b Source # liftA2 :: (a -> b -> c) -> Identity a -> Identity b -> Identity c Source # (>) :: Identity a -> Identity b -> Identity b Source # (<*) :: Identity a -> Identity b -> Identity a Source #
Functor Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods fmap :: (a -> b) -> Identity a -> Identity b Source # (<$) :: a -> Identity b -> Identity a Source #
Monad Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods (>>=) :: Identity a -> (a -> Identity b) -> Identity b Source # (>>) :: Identity a -> Identity b -> Identity b Source # return :: a -> Identity a Source #
Comonad Identity
Instance details Defined in Control.Comonad Methods extract :: Identity a -> a duplicate :: Identity a -> Identity (Identity a) extend :: (Identity a -> b) -> Identity a -> Identity b
ComonadApply Identity
Instance details Defined in Control.Comonad Methods (<@>) :: Identity (a -> b) -> Identity a -> Identity b (@>) :: Identity a -> Identity b -> Identity b (<@) :: Identity a -> Identity b -> Identity a
NFData1 Identity	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Identity a -> () Source #
Distributive Identity
Instance details Defined in Data.Distributive Methods distribute :: Functor f => f (Identity a) -> Identity (f a) Source # collect :: Functor f => (a -> Identity b) -> f a -> Identity (f b) Source # distributeM :: Monad m => m (Identity a) -> Identity (m a) Source # collectM :: Monad m => (a -> Identity b) -> m a -> Identity (m b) Source #
Hashable1 Identity
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> Identity a -> Int Source #
Settable Identity	So you can pass our `Setter` into combinators from other lens libraries.
Instance details Defined in Control.Lens.Internal.Setter Methods untainted :: Identity a -> a Source # untaintedDot :: Profunctor p => p a (Identity b) -> p a b Source # taintedDot :: Profunctor p => p a b -> p a (Identity b) Source #
Affine Identity
Instance details Defined in Linear.Affine Associated Types type Diff Identity :: Type -> Type Source # Methods (.-.) :: Num a => Identity a -> Identity a -> Diff Identity a Source # (.+^) :: Num a => Identity a -> Diff Identity a -> Identity a Source # (.-^) :: Num a => Identity a -> Diff Identity a -> Identity a Source #
Metric Identity
Instance details Defined in Linear.Metric Methods dot :: Num a => Identity a -> Identity a -> a Source # quadrance :: Num a => Identity a -> a Source # qd :: Num a => Identity a -> Identity a -> a Source # distance :: Floating a => Identity a -> Identity a -> a Source # norm :: Floating a => Identity a -> a Source # signorm :: Floating a => Identity a -> Identity a Source #
R1 Identity
Instance details Defined in Linear.V1 Methods _x :: Lens' (Identity a) a Source #
Additive Identity
Instance details Defined in Linear.Vector Methods zero :: Num a => Identity a Source # (^+^) :: Num a => Identity a -> Identity a -> Identity a Source # (^-^) :: Num a => Identity a -> Identity a -> Identity a Source # lerp :: Num a => a -> Identity a -> Identity a -> Identity a Source # liftU2 :: (a -> a -> a) -> Identity a -> Identity a -> Identity a Source # liftI2 :: (a -> b -> c) -> Identity a -> Identity b -> Identity c Source #
Apply Identity
Instance details Defined in Data.Functor.Bind.Class Methods (<.>) :: Identity (a -> b) -> Identity a -> Identity b (.>) :: Identity a -> Identity b -> Identity b (<.) :: Identity a -> Identity b -> Identity a liftF2 :: (a -> b -> c) -> Identity a -> Identity b -> Identity c
Bind Identity
Instance details Defined in Data.Functor.Bind.Class Methods (>>-) :: Identity a -> (a -> Identity b) -> Identity b join :: Identity (Identity a) -> Identity a
Traversable1 Identity
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> Identity a -> f (Identity b) # sequence1 :: Apply f => Identity (f b) -> f (Identity b)
Generic1 Identity
Instance details Defined in Data.Functor.Identity Associated Types type Rep1 Identity :: k -> Type Source # Methods from1 :: forall (a :: k). Identity a -> Rep1 Identity a Source # to1 :: forall (a :: k). Rep1 Identity a -> Identity a Source #
FoldableWithIndex () Identity
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (() -> a -> m) -> Identity a -> m # ifoldMap' :: Monoid m => (() -> a -> m) -> Identity a -> m # ifoldr :: (() -> a -> b -> b) -> b -> Identity a -> b # ifoldl :: (() -> b -> a -> b) -> b -> Identity a -> b # ifoldr' :: (() -> a -> b -> b) -> b -> Identity a -> b # ifoldl' :: (() -> b -> a -> b) -> b -> Identity a -> b #
FunctorWithIndex () Identity
Instance details Defined in WithIndex Methods imap :: (() -> a -> b) -> Identity a -> Identity b #
TraversableWithIndex () Identity
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (() -> a -> f b) -> Identity a -> f (Identity b) #
Cosieve ReifiedGetter Identity
Instance details Defined in Control.Lens.Reified Methods cosieve :: ReifiedGetter a b -> Identity a -> b Source #
Sieve ReifiedGetter Identity
Instance details Defined in Control.Lens.Reified Methods sieve :: ReifiedGetter a b -> a -> Identity b Source #
Unbox a => Vector Vector (Identity a)
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s (Identity a) -> ST s (Vector (Identity a)) basicUnsafeThaw :: Vector (Identity a) -> ST s (Mutable Vector s (Identity a)) basicLength :: Vector (Identity a) -> Int basicUnsafeSlice :: Int -> Int -> Vector (Identity a) -> Vector (Identity a) basicUnsafeIndexM :: Vector (Identity a) -> Int -> Box (Identity a) basicUnsafeCopy :: Mutable Vector s (Identity a) -> Vector (Identity a) -> ST s () elemseq :: Vector (Identity a) -> Identity a -> b -> b
Unbox a => MVector MVector (Identity a)
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s (Identity a) -> Int basicUnsafeSlice :: Int -> Int -> MVector s (Identity a) -> MVector s (Identity a) basicOverlaps :: MVector s (Identity a) -> MVector s (Identity a) -> Bool basicUnsafeNew :: Int -> ST s (MVector s (Identity a)) basicInitialize :: MVector s (Identity a) -> ST s () basicUnsafeReplicate :: Int -> Identity a -> ST s (MVector s (Identity a)) basicUnsafeRead :: MVector s (Identity a) -> Int -> ST s (Identity a) basicUnsafeWrite :: MVector s (Identity a) -> Int -> Identity a -> ST s () basicClear :: MVector s (Identity a) -> ST s () basicSet :: MVector s (Identity a) -> Identity a -> ST s () basicUnsafeCopy :: MVector s (Identity a) -> MVector s (Identity a) -> ST s () basicUnsafeMove :: MVector s (Identity a) -> MVector s (Identity a) -> ST s () basicUnsafeGrow :: MVector s (Identity a) -> Int -> ST s (MVector s (Identity a))
Data a => Data (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Identity a -> c (Identity a) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Identity a) Source # toConstr :: Identity a -> Constr Source # dataTypeOf :: Identity a -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Identity a)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Identity a)) Source # gmapT :: (forall b. Data b => b -> b) -> Identity a -> Identity a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Identity a -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Identity a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Identity a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Identity a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Identity a -> m (Identity a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Identity a -> m (Identity a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Identity a -> m (Identity a) Source #
IsString a => IsString (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.String Methods fromString :: String -> Identity a Source #
Storable a => Storable (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods sizeOf :: Identity a -> Int Source # alignment :: Identity a -> Int Source # peekElemOff :: Ptr (Identity a) -> Int -> IO (Identity a) Source # pokeElemOff :: Ptr (Identity a) -> Int -> Identity a -> IO () Source # peekByteOff :: Ptr b -> Int -> IO (Identity a) Source # pokeByteOff :: Ptr b -> Int -> Identity a -> IO () Source # peek :: Ptr (Identity a) -> IO (Identity a) Source # poke :: Ptr (Identity a) -> Identity a -> IO () Source #
Monoid a => Monoid (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods mempty :: Identity a Source # mappend :: Identity a -> Identity a -> Identity a Source # mconcat :: [Identity a] -> Identity a Source #
Semigroup a => Semigroup (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (<>) :: Identity a -> Identity a -> Identity a Source # sconcat :: NonEmpty (Identity a) -> Identity a Source # stimes :: Integral b => b -> Identity a -> Identity a Source #
Bits a => Bits (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (.&.) :: Identity a -> Identity a -> Identity a Source # (.\|.) :: Identity a -> Identity a -> Identity a Source # xor :: Identity a -> Identity a -> Identity a Source # complement :: Identity a -> Identity a Source # shift :: Identity a -> Int -> Identity a Source # rotate :: Identity a -> Int -> Identity a Source # zeroBits :: Identity a Source # bit :: Int -> Identity a Source # setBit :: Identity a -> Int -> Identity a Source # clearBit :: Identity a -> Int -> Identity a Source # complementBit :: Identity a -> Int -> Identity a Source # testBit :: Identity a -> Int -> Bool Source # bitSizeMaybe :: Identity a -> Maybe Int Source # bitSize :: Identity a -> Int Source # isSigned :: Identity a -> Bool Source # shiftL :: Identity a -> Int -> Identity a Source # unsafeShiftL :: Identity a -> Int -> Identity a Source # shiftR :: Identity a -> Int -> Identity a Source # unsafeShiftR :: Identity a -> Int -> Identity a Source # rotateL :: Identity a -> Int -> Identity a Source # rotateR :: Identity a -> Int -> Identity a Source # popCount :: Identity a -> Int Source #
FiniteBits a => FiniteBits (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods finiteBitSize :: Identity a -> Int Source # countLeadingZeros :: Identity a -> Int Source # countTrailingZeros :: Identity a -> Int Source #
Bounded a => Bounded (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods minBound :: Identity a Source # maxBound :: Identity a Source #
Enum a => Enum (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods succ :: Identity a -> Identity a Source # pred :: Identity a -> Identity a Source # toEnum :: Int -> Identity a Source # fromEnum :: Identity a -> Int Source # enumFrom :: Identity a -> [Identity a] Source # enumFromThen :: Identity a -> Identity a -> [Identity a] Source # enumFromTo :: Identity a -> Identity a -> [Identity a] Source # enumFromThenTo :: Identity a -> Identity a -> Identity a -> [Identity a] Source #
Floating a => Floating (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods pi :: Identity a Source # exp :: Identity a -> Identity a Source # log :: Identity a -> Identity a Source # sqrt :: Identity a -> Identity a Source # (**) :: Identity a -> Identity a -> Identity a Source # logBase :: Identity a -> Identity a -> Identity a Source # sin :: Identity a -> Identity a Source # cos :: Identity a -> Identity a Source # tan :: Identity a -> Identity a Source # asin :: Identity a -> Identity a Source # acos :: Identity a -> Identity a Source # atan :: Identity a -> Identity a Source # sinh :: Identity a -> Identity a Source # cosh :: Identity a -> Identity a Source # tanh :: Identity a -> Identity a Source # asinh :: Identity a -> Identity a Source # acosh :: Identity a -> Identity a Source # atanh :: Identity a -> Identity a Source # log1p :: Identity a -> Identity a Source # expm1 :: Identity a -> Identity a Source # log1pexp :: Identity a -> Identity a Source # log1mexp :: Identity a -> Identity a Source #
RealFloat a => RealFloat (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods floatRadix :: Identity a -> Integer Source # floatDigits :: Identity a -> Int Source # floatRange :: Identity a -> (Int, Int) Source # decodeFloat :: Identity a -> (Integer, Int) Source # encodeFloat :: Integer -> Int -> Identity a Source # exponent :: Identity a -> Int Source # significand :: Identity a -> Identity a Source # scaleFloat :: Int -> Identity a -> Identity a Source # isNaN :: Identity a -> Bool Source # isInfinite :: Identity a -> Bool Source # isDenormalized :: Identity a -> Bool Source # isNegativeZero :: Identity a -> Bool Source # isIEEE :: Identity a -> Bool Source # atan2 :: Identity a -> Identity a -> Identity a Source #
Generic (Identity a)
Instance details Defined in Data.Functor.Identity Associated Types type Rep (Identity a) :: Type -> Type Source # Methods from :: Identity a -> Rep (Identity a) x Source # to :: Rep (Identity a) x -> Identity a Source #
Ix a => Ix (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods range :: (Identity a, Identity a) -> [Identity a] Source # index :: (Identity a, Identity a) -> Identity a -> Int Source # unsafeIndex :: (Identity a, Identity a) -> Identity a -> Int Source # inRange :: (Identity a, Identity a) -> Identity a -> Bool Source # rangeSize :: (Identity a, Identity a) -> Int Source # unsafeRangeSize :: (Identity a, Identity a) -> Int Source #
Num a => Num (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (+) :: Identity a -> Identity a -> Identity a Source # (-) :: Identity a -> Identity a -> Identity a Source # (*) :: Identity a -> Identity a -> Identity a Source # negate :: Identity a -> Identity a Source # abs :: Identity a -> Identity a Source # signum :: Identity a -> Identity a Source # fromInteger :: Integer -> Identity a Source #
Read a => Read (Identity a)	This instance would be equivalent to the derived instances of the `Identity` newtype if the `runIdentity` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods readsPrec :: Int -> ReadS (Identity a) Source # readList :: ReadS [Identity a] Source # readPrec :: ReadPrec (Identity a) Source # readListPrec :: ReadPrec [Identity a] Source #
Fractional a => Fractional (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (/) :: Identity a -> Identity a -> Identity a Source # recip :: Identity a -> Identity a Source # fromRational :: Rational -> Identity a Source #
Integral a => Integral (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods quot :: Identity a -> Identity a -> Identity a Source # rem :: Identity a -> Identity a -> Identity a Source # div :: Identity a -> Identity a -> Identity a Source # mod :: Identity a -> Identity a -> Identity a Source # quotRem :: Identity a -> Identity a -> (Identity a, Identity a) Source # divMod :: Identity a -> Identity a -> (Identity a, Identity a) Source # toInteger :: Identity a -> Integer Source #
Real a => Real (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods toRational :: Identity a -> Rational Source #
RealFrac a => RealFrac (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods properFraction :: Integral b => Identity a -> (b, Identity a) Source # truncate :: Integral b => Identity a -> b Source # round :: Integral b => Identity a -> b Source # ceiling :: Integral b => Identity a -> b Source # floor :: Integral b => Identity a -> b Source #
Show a => Show (Identity a)	This instance would be equivalent to the derived instances of the `Identity` newtype if the `runIdentity` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods showsPrec :: Int -> Identity a -> ShowS Source # show :: Identity a -> String Source # showList :: [Identity a] -> ShowS Source #
NFData a => NFData (Identity a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Identity a -> () Source #
Eq a => Eq (Identity a)	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods (==) :: Identity a -> Identity a -> Bool Source # (/=) :: Identity a -> Identity a -> Bool Source #
Ord a => Ord (Identity a)	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods compare :: Identity a -> Identity a -> Ordering Source # (<) :: Identity a -> Identity a -> Bool Source # (<=) :: Identity a -> Identity a -> Bool Source # (>) :: Identity a -> Identity a -> Bool Source # (>=) :: Identity a -> Identity a -> Bool Source # max :: Identity a -> Identity a -> Identity a Source # min :: Identity a -> Identity a -> Identity a Source #
Hashable a => Hashable (Identity a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Identity a -> Int Source # hash :: Identity a -> Int Source #
Ixed (Identity a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Identity a) -> Traversal' (Identity a) (IxValue (Identity a)) Source #
Wrapped (Identity a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Identity a) Source # Methods _Wrapped' :: Iso' (Identity a) (Unwrapped (Identity a)) Source #
Pretty a => Pretty (Identity a)
Instance details Defined in Prettyprinter.Internal Methods pretty :: Identity a -> Doc ann # prettyList :: [Identity a] -> Doc ann #
Unbox a => Unbox (Identity a)
Instance details Defined in Data.Vector.Unboxed.Base
t ~ Identity b => Rewrapped (Identity a) t
Instance details Defined in Control.Lens.Wrapped
Action m s => Action (Identity m) s
Instance details Defined in Data.Monoid.Action Methods act :: Identity m -> s -> s Source #
Each (Identity a) (Identity b) a b	`each` :: `Traversal` (`Identity` a) (`Identity` b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Identity a) (Identity b) a b Source #
Field1 (Identity a) (Identity b) a b
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (Identity a) (Identity b) a b Source #
Cosieve (->) Identity
Instance details Defined in Data.Profunctor.Sieve Methods cosieve :: (a -> b) -> Identity a -> b Source #
Sieve (->) Identity
Instance details Defined in Data.Profunctor.Sieve Methods sieve :: (a -> b) -> a -> Identity b Source #
type Rep Identity
Instance details Defined in Data.Functor.Rep type Rep Identity = ()
type Diff Identity
Instance details Defined in Linear.Affine type Diff Identity = Identity
type Rep1 Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity type Rep1 Identity = D1 ('MetaData "Identity" "Data.Functor.Identity" "base" 'True) (C1 ('MetaCons "Identity" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentity") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
newtype MVector s (Identity a)
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s (Identity a) = MV_Identity (MVector s a)
type Rep (Identity a)	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity type Rep (Identity a) = D1 ('MetaData "Identity" "Data.Functor.Identity" "base" 'True) (C1 ('MetaCons "Identity" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentity") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
type Index (Identity a)
Instance details Defined in Control.Lens.At type Index (Identity a) = ()
type IxValue (Identity a)
Instance details Defined in Control.Lens.At type IxValue (Identity a) = a
type Unwrapped (Identity a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Identity a) = a
newtype Vector (Identity a)
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector (Identity a) = V_Identity (Vector a)

type Iso s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Profunctor p, Functor f) => p a (f b) -> p s (f t) Source #

Isomorphism families can be composed with another Lens using (.) and id.

Since every Iso is both a valid Lens and a valid Prism, the laws for those types imply the following laws for an Iso f:

f . from f ≡ id
from f . f ≡ id

Note: Composition with an Iso is index- and measure- preserving.

type IndexedTraversal i s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Indexable i p, Applicative f) => p a (f b) -> s -> f t Source #

Every IndexedTraversal is a valid Traversal or IndexedFold.

The Indexed constraint is used to allow an IndexedTraversal to be used directly as a Traversal.

The Traversal laws are still required to hold.

In addition, the index i should satisfy the requirement that it stays unchanged even when modifying the value a, otherwise traversals like indices break the Traversal laws.

type IndexedFold i s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Indexable i p, Contravariant f, Applicative f) => p a (f a) -> s -> f s Source #

Every IndexedFold is a valid Fold and can be used for Getting.

type Prism s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Choice p, Applicative f) => p a (f b) -> p s (f t) Source #

A Prism l is a Traversal that can also be turned around with re to obtain a Getter in the opposite direction.

There are three laws that a Prism should satisfy:

First, if I re or review a value with a Prism and then preview or use (^?), I will get it back:

preview l (review l b) ≡ Just b

Second, if you can extract a value a using a Prism l from a value s, then the value s is completely described by l and a:

preview l s ≡ Just a ⟹ review l a ≡ s

Third, if you get non-match t, you can convert it result back to s:

matching l s ≡ Left t ⟹ matching l t ≡ Left s

The first two laws imply that the Traversal laws hold for every Prism and that we traverse at most 1 element:

lengthOf l x <= 1

It may help to think of this as an Iso that can be partial in one direction.

Every Prism is a valid Traversal.

Every Iso is a valid Prism.

For example, you might have a Prism' Integer Natural allows you to always go from a Natural to an Integer, and provide you with tools to check if an Integer is a Natural and/or to edit one if it is.

nat :: Prism' Integer Natural
nat = prism toInteger $ \ i ->
   if i < 0
   then Left i
   else Right (fromInteger i)

Now we can ask if an Integer is a Natural.

>>> 5^?nat
Just 5

>>> (-5)^?nat
Nothing

We can update the ones that are:

>>> (-3,4) & both.nat *~ 2
(-3,8)

And we can then convert from a Natural to an Integer.

>>> 5 ^. re nat -- :: Natural
5

Similarly we can use a Prism to traverse the Left half of an Either:

>>> Left "hello" & _Left %~ length
Left 5

or to construct an Either:

>>> 5^.re _Left
Left 5

such that if you query it with the Prism, you will get your original input back.

>>> 5^.re _Left ^? _Left
Just 5

Another interesting way to think of a Prism is as the categorical dual of a Lens -- a co-Lens, so to speak. This is what permits the construction of outside.

Note: Composition with a Prism is index-preserving.

type Lens s t a b = forall (f :: Type -> Type). Functor f => (a -> f b) -> s -> f t Source #

A Lens is actually a lens family as described in http://comonad.com/reader/2012/mirrored-lenses/.

With great power comes great responsibility and a Lens is subject to the three common sense Lens laws:

1) You get back what you put in:

view l (set l v s)  ≡ v

2) Putting back what you got doesn't change anything:

set l (view l s) s  ≡ s

3) Setting twice is the same as setting once:

set l v' (set l v s) ≡ set l v' s

These laws are strong enough that the 4 type parameters of a Lens cannot vary fully independently. For more on how they interact, read the "Why is it a Lens Family?" section of http://comonad.com/reader/2012/mirrored-lenses/.

There are some emergent properties of these laws:

1) set l s must be injective for every s This is a consequence of law #1

2) set l must be surjective, because of law #2, which indicates that it is possible to obtain any v from some s such that set s v = s

3) Given just the first two laws you can prove a weaker form of law #3 where the values v that you are setting match:

set l v (set l v s) ≡ set l v s

Every Lens can be used directly as a Setter or Traversal.

You can also use a Lens for Getting as if it were a Fold or Getter.

Since every Lens is a valid Traversal, the Traversal laws are required of any Lens you create:

l pure ≡ pure
fmap (l f) . l g ≡ getCompose . l (Compose . fmap f . g)

type Lens s t a b = forall f. Functor f => LensLike f s t a b

type IndexedLens i s t a b = forall (f :: Type -> Type) (p :: Type -> Type -> Type). (Indexable i p, Functor f) => p a (f b) -> s -> f t Source #

Every IndexedLens is a valid Lens and a valid IndexedTraversal.

type Getter s a = forall (f :: Type -> Type). (Contravariant f, Functor f) => (a -> f a) -> s -> f s Source #

A Getter describes how to retrieve a single value in a way that can be composed with other LensLike constructions.

Unlike a Lens a Getter is read-only. Since a Getter cannot be used to write back there are no Lens laws that can be applied to it. In fact, it is isomorphic to an arbitrary function from (s -> a).

Moreover, a Getter can be used directly as a Fold, since it just ignores the Applicative.

type IndexedGetter i s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Indexable i p, Contravariant f, Functor f) => p a (f a) -> s -> f s Source #

Every IndexedGetter is a valid IndexedFold and can be used for Getting like a Getter.

type LensLike (f :: k -> Type) s (t :: k) a (b :: k) = (a -> f b) -> s -> f t Source #

Many combinators that accept a Lens can also accept a Traversal in limited situations.

They do so by specializing the type of Functor that they require of the caller.

If a function accepts a LensLike f s t a b for some Functor f, then they may be passed a Lens.

Further, if f is an Applicative, they may also be passed a Traversal.

type Over (p :: k -> Type -> Type) (f :: k1 -> Type) s (t :: k1) (a :: k) (b :: k1) = p a (f b) -> s -> f t Source #

This is a convenient alias for use when you need to consume either indexed or non-indexed lens-likes based on context.

newtype Bazaar (p :: Type -> Type -> Type) a b t Source #

This is used to characterize a Traversal.

a.k.a. indexed Cartesian store comonad, indexed Kleene store comonad, or an indexed FunList.

http://twanvl.nl/blog/haskell/non-regular1

A Bazaar is like a Traversal that has already been applied to some structure.

Where a Context a b t holds an a and a function from b to t, a Bazaar a b t holds N as and a function from N bs to t, (where N might be infinite).

Mnemonically, a Bazaar holds many stores and you can easily add more.

This is a final encoding of Bazaar.

Constructors

Bazaar
Fields runBazaar :: forall (f :: Type -> Type). Applicative f => p a (f b) -> f t

Instances

Instances details

Profunctor p => Bizarre p (Bazaar p)
Instance details Defined in Control.Lens.Internal.Bazaar Methods bazaar :: Applicative f => p a (f b) -> Bazaar p a b t -> f t Source #
Corepresentable p => Sellable p (Bazaar p)
Instance details Defined in Control.Lens.Internal.Bazaar Methods sell :: p a (Bazaar p a b b) Source #
Conjoined p => IndexedComonad (Bazaar p)
Instance details Defined in Control.Lens.Internal.Bazaar Methods iextract :: Bazaar p a a t -> t Source # iduplicate :: Bazaar p a c t -> Bazaar p a b (Bazaar p b c t) Source # iextend :: (Bazaar p b c t -> r) -> Bazaar p a c t -> Bazaar p a b r Source #
IndexedFunctor (Bazaar p)
Instance details Defined in Control.Lens.Internal.Bazaar Methods ifmap :: (s -> t) -> Bazaar p a b s -> Bazaar p a b t Source #
Applicative (Bazaar p a b)
Instance details Defined in Control.Lens.Internal.Bazaar Methods pure :: a0 -> Bazaar p a b a0 Source # (<>) :: Bazaar p a b (a0 -> b0) -> Bazaar p a b a0 -> Bazaar p a b b0 Source # liftA2 :: (a0 -> b0 -> c) -> Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b c Source # (>) :: Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b b0 Source # (<*) :: Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b a0 Source #
Functor (Bazaar p a b)
Instance details Defined in Control.Lens.Internal.Bazaar Methods fmap :: (a0 -> b0) -> Bazaar p a b a0 -> Bazaar p a b b0 Source # (<$) :: a0 -> Bazaar p a b b0 -> Bazaar p a b a0 Source #
(a ~ b, Conjoined p) => Comonad (Bazaar p a b)
Instance details Defined in Control.Lens.Internal.Bazaar Methods extract :: Bazaar p a b a0 -> a0 duplicate :: Bazaar p a b a0 -> Bazaar p a b (Bazaar p a b a0) extend :: (Bazaar p a b a0 -> b0) -> Bazaar p a b a0 -> Bazaar p a b b0
(a ~ b, Conjoined p) => ComonadApply (Bazaar p a b)
Instance details Defined in Control.Lens.Internal.Bazaar Methods (<@>) :: Bazaar p a b (a0 -> b0) -> Bazaar p a b a0 -> Bazaar p a b b0 (@>) :: Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b b0 (<@) :: Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b a0
Apply (Bazaar p a b)
Instance details Defined in Control.Lens.Internal.Bazaar Methods (<.>) :: Bazaar p a b (a0 -> b0) -> Bazaar p a b a0 -> Bazaar p a b b0 (.>) :: Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b b0 (<.) :: Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b a0 liftF2 :: (a0 -> b0 -> c) -> Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b c

type Setter s t a b = forall (f :: Type -> Type). Settable f => (a -> f b) -> s -> f t Source #

The only LensLike law that can apply to a Setter l is that

set l y (set l x a) ≡ set l y a

You can't view a Setter in general, so the other two laws are irrelevant.

However, two Functor laws apply to a Setter:

over l id ≡ id
over l f . over l g ≡ over l (f . g)

These can be stated more directly:

l pure ≡ pure
l f . untainted . l g ≡ l (f . untainted . g)

You can compose a Setter with a Lens or a Traversal using (.) from the Prelude and the result is always only a Setter and nothing more.

>>> over traverse f [a,b,c,d]
[f a,f b,f c,f d]

>>> over _1 f (a,b)
(f a,b)

>>> over (traverse._1) f [(a,b),(c,d)]
[(f a,b),(f c,d)]

>>> over both f (a,b)
(f a,f b)

>>> over (traverse.both) f [(a,b),(c,d)]
[(f a,f b),(f c,f d)]

class (MonadState s m, MonadState t n) => Zoom (m :: Type -> Type) (n :: Type -> Type) s t | m -> s, n -> t, m t -> n, n s -> m where Source #

This class allows us to use zoom in, changing the State supplied by many different Monad transformers, potentially quite deep in a Monad transformer stack.

Methods

zoom :: LensLike' (Zoomed m c) t s -> m c -> n c infixr 2 Source #

Run a monadic action in a larger State than it was defined in, using a Lens' or Traversal'.

This is commonly used to lift actions in a simpler State Monad into a State Monad with a larger State type.

When applied to a Traversal' over multiple values, the actions for each target are executed sequentially and the results are aggregated.

This can be used to edit pretty much any Monad transformer stack with a State in it!

>>> flip State.evalState (a,b) $ zoom _1 $ use id
a

>>> flip State.execState (a,b) $ zoom _1 $ id .= c
(c,b)

>>> flip State.execState [(a,b),(c,d)] $ zoom traverse $ _2 %= f
[(a,f b),(c,f d)]

>>> flip State.runState [(a,b),(c,d)] $ zoom traverse $ _2 <%= f
(f b <> f d <> mempty,[(a,f b),(c,f d)])

>>> flip State.evalState (a,b) $ zoom both (use id)
a <> b

zoom :: Monad m             => Lens' s t      -> StateT t m a -> StateT s m a
zoom :: (Monad m, Monoid c) => Traversal' s t -> StateT t m c -> StateT s m c
zoom :: (Monad m, Monoid w)             => Lens' s t      -> RWST r w t m c -> RWST r w s m c
zoom :: (Monad m, Monoid w, Monoid c) => Traversal' s t -> RWST r w t m c -> RWST r w s m c
zoom :: (Monad m, Monoid w, Error e)  => Lens' s t      -> ErrorT e (RWST r w t m) c -> ErrorT e (RWST r w s m) c
zoom :: (Monad m, Monoid w, Monoid c, Error e) => Traversal' s t -> ErrorT e (RWST r w t m) c -> ErrorT e (RWST r w s m) c
...

Instances

Instances details

Zoom m n s t => Zoom (MaybeT m) (MaybeT n) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (MaybeT m) c) t s -> MaybeT m c -> MaybeT n c Source #
(Functor f, Zoom m n s t) => Zoom (FreeT f m) (FreeT f n) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (FreeT f m) c) t s -> FreeT f m c -> FreeT f n c Source #
Zoom m n s t => Zoom (ExceptT e m) (ExceptT e n) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (ExceptT e m) c) t s -> ExceptT e m c -> ExceptT e n c Source #
Zoom m n s t => Zoom (IdentityT m) (IdentityT n) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (IdentityT m) c) t s -> IdentityT m c -> IdentityT n c Source #
Zoom m n s t => Zoom (ReaderT e m) (ReaderT e n) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (ReaderT e m) c) t s -> ReaderT e m c -> ReaderT e n c Source #
Monad z => Zoom (StateT s z) (StateT t z) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (StateT s z) c) t s -> StateT s z c -> StateT t z c Source #
Monad z => Zoom (StateT s z) (StateT t z) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (StateT s z) c) t s -> StateT s z c -> StateT t z c Source #
(Monoid w, Zoom m n s t) => Zoom (WriterT w m) (WriterT w n) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (WriterT w m) c) t s -> WriterT w m c -> WriterT w n c Source #
(Monoid w, Zoom m n s t) => Zoom (WriterT w m) (WriterT w n) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (WriterT w m) c) t s -> WriterT w m c -> WriterT w n c Source #
(Monoid w, Monad z) => Zoom (RWST r w s z) (RWST r w t z) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (RWST r w s z) c) t s -> RWST r w s z c -> RWST r w t z c Source #
(Monoid w, Monad z) => Zoom (RWST r w s z) (RWST r w t z) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (RWST r w s z) c) t s -> RWST r w s z c -> RWST r w t z c Source #

type Getting r s a = (a -> Const r a) -> s -> Const r s Source #

When you see this in a type signature it indicates that you can pass the function a Lens, Getter, Traversal, Fold, Prism, Iso, or one of the indexed variants, and it will just "do the right thing".

Most Getter combinators are able to be used with both a Getter or a Fold in limited situations, to do so, they need to be monomorphic in what we are going to extract with Const. To be compatible with Lens, Traversal and Iso we also restricted choices of the irrelevant t and b parameters.

If a function accepts a Getting r s a, then when r is a Monoid, then you can pass a Fold (or Traversal), otherwise you can only pass this a Getter or Lens.

type Traversal' s a = Traversal s s a a Source #

type Traversal' = Simple Traversal

type Setter' s a = Setter s s a a Source #

A Setter' is just a Setter that doesn't change the types.

These are particularly common when talking about monomorphic containers. e.g.

sets Data.Text.map :: Setter' Text Char

type Setter' = Simple Setter

type Iso' s a = Iso s s a a Source #

type Iso' = Simple Iso

class AsEmpty a where Source #

Minimal complete definition

Nothing

Methods

_Empty :: Prism' a () Source #

>>> isn't _Empty [1,2,3]
True

Instances

Instances details

AsEmpty All
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' All () Source #
AsEmpty Any
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' Any () Source #
AsEmpty Event
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' Event () Source #
AsEmpty ByteString
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' ByteString () Source #
AsEmpty ByteString
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' ByteString () Source #
AsEmpty IntSet
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' IntSet () Source #
AsEmpty Ordering
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' Ordering () Source #
AsEmpty Text
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' Text () Source #
AsEmpty Text
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' Text () Source #
AsEmpty ()
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' () () Source #
AsEmpty (ZipList a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (ZipList a) () Source #
AsEmpty (First a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (First a) () Source #
AsEmpty (Last a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (Last a) () Source #
AsEmpty a => AsEmpty (Dual a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (Dual a) () Source #
(Eq a, Num a) => AsEmpty (Product a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (Product a) () Source #
(Eq a, Num a) => AsEmpty (Sum a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (Sum a) () Source #
AsEmpty (IntMap a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (IntMap a) () Source #
AsEmpty (Seq a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (Seq a) () Source #
AsEmpty (Set a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (Set a) () Source #
AsEmpty (Clip n) Source #
Instance details Defined in Diagrams.TwoD.Path Methods _Empty :: Prism' (Clip n) () Source #
AsEmpty (HashSet a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (HashSet a) () Source #
AsEmpty (Vector a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (Vector a) () Source #
Storable a => AsEmpty (Vector a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (Vector a) () Source #
Unbox a => AsEmpty (Vector a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (Vector a) () Source #
AsEmpty (Maybe a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (Maybe a) () Source #
AsEmpty [a]
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' [a] () Source #
AsEmpty (Map k a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (Map k a) () Source #
AsEmpty (BoundingBox v n) Source #
Instance details Defined in Diagrams.BoundingBox Methods _Empty :: Prism' (BoundingBox v n) () Source #
AsEmpty (Path v n) Source #
Instance details Defined in Diagrams.Path Methods _Empty :: Prism' (Path v n) () Source #
(Metric v, OrderedField n) => AsEmpty (Trail v n) Source #
Instance details Defined in Diagrams.Trail Methods _Empty :: Prism' (Trail v n) () Source #
AsEmpty (HashMap k a)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (HashMap k a) () Source #
(AsEmpty a, AsEmpty b) => AsEmpty (a, b)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (a, b) () Source #
(Metric v, OrderedField n) => AsEmpty (Trail' Line v n) Source #
Instance details Defined in Diagrams.Trail Methods _Empty :: Prism' (Trail' Line v n) () Source #
(AsEmpty a, AsEmpty b, AsEmpty c) => AsEmpty (a, b, c)
Instance details Defined in Control.Lens.Empty Methods _Empty :: Prism' (a, b, c) () Source #

newtype ReifiedTraversal s t a b Source #

A form of Traversal that can be stored monomorphically in a container.

Constructors

Traversal
Fields runTraversal :: Traversal s t a b

type Prism' s a = Prism s s a a Source #

A Simple Prism.

type Lens' s a = Lens s s a a Source #

type Lens' = Simple Lens

newtype Indexed i a b Source #

A function with access to a index. This constructor may be useful when you need to store an Indexable in a container to avoid ImpredicativeTypes.

index :: Indexed i a b -> i -> a -> b

Constructors

Indexed
Fields runIndexed :: i -> a -> b

Instances

Instances details

Category (Indexed i :: Type -> Type -> Type)
Instance details Defined in Control.Lens.Internal.Indexed Methods id :: forall (a :: k). Indexed i a a Source # (.) :: forall (b :: k) (c :: k) (a :: k). Indexed i b c -> Indexed i a b -> Indexed i a c Source #
i ~ j => Indexable i (Indexed j)
Instance details Defined in Control.Lens.Internal.Indexed Methods indexed :: Indexed j a b -> i -> a -> b Source #
Arrow (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods arr :: (b -> c) -> Indexed i b c Source # first :: Indexed i b c -> Indexed i (b, d) (c, d) Source # second :: Indexed i b c -> Indexed i (d, b) (d, c) Source # (***) :: Indexed i b c -> Indexed i b' c' -> Indexed i (b, b') (c, c') Source # (&&&) :: Indexed i b c -> Indexed i b c' -> Indexed i b (c, c') Source #
ArrowApply (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods app :: Indexed i (Indexed i b c, b) c Source #
ArrowChoice (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods left :: Indexed i b c -> Indexed i (Either b d) (Either c d) Source # right :: Indexed i b c -> Indexed i (Either d b) (Either d c) Source # (+++) :: Indexed i b c -> Indexed i b' c' -> Indexed i (Either b b') (Either c c') Source # (\|\|\|) :: Indexed i b d -> Indexed i c d -> Indexed i (Either b c) d Source #
ArrowLoop (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods loop :: Indexed i (b, d) (c, d) -> Indexed i b c Source #
Conjoined (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods distrib :: Functor f => Indexed i a b -> Indexed i (f a) (f b) Source # conjoined :: (Indexed i ~ (->) => q (a -> b) r) -> q (Indexed i a b) r -> q (Indexed i a b) r Source #
Choice (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods left' :: Indexed i a b -> Indexed i (Either a c) (Either b c) Source # right' :: Indexed i a b -> Indexed i (Either c a) (Either c b) Source #
Closed (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods closed :: Indexed i a b -> Indexed i (x -> a) (x -> b) Source #
Corepresentable (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Associated Types type Corep (Indexed i) :: Type -> Type Source # Methods cotabulate :: (Corep (Indexed i) d -> c) -> Indexed i d c Source #
Representable (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Associated Types type Rep (Indexed i) :: Type -> Type Source # Methods tabulate :: (d -> Rep (Indexed i) c) -> Indexed i d c Source #
Costrong (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods unfirst :: Indexed i (a, d) (b, d) -> Indexed i a b Source # unsecond :: Indexed i (d, a) (d, b) -> Indexed i a b Source #
Strong (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods first' :: Indexed i a b -> Indexed i (a, c) (b, c) Source # second' :: Indexed i a b -> Indexed i (c, a) (c, b) Source #
Profunctor (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods dimap :: (a -> b) -> (c -> d) -> Indexed i b c -> Indexed i a d Source # lmap :: (a -> b) -> Indexed i b c -> Indexed i a c Source # rmap :: (b -> c) -> Indexed i a b -> Indexed i a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Indexed i a b -> Indexed i a c Source # (.#) :: forall a b c q. Coercible b a => Indexed i b c -> q a b -> Indexed i a c Source #
Bizarre (Indexed Int) Mafic
Instance details Defined in Control.Lens.Internal.Magma Methods bazaar :: Applicative f => Indexed Int a (f b) -> Mafic a b t -> f t Source #
Bizarre (Indexed i) (Molten i)
Instance details Defined in Control.Lens.Internal.Magma Methods bazaar :: Applicative f => Indexed i a (f b) -> Molten i a b t -> f t Source #
Sellable (Indexed i) (Molten i)
Instance details Defined in Control.Lens.Internal.Magma Methods sell :: Indexed i a (Molten i a b b) Source #
Cosieve (Indexed i) ((,) i)
Instance details Defined in Control.Lens.Internal.Indexed Methods cosieve :: Indexed i a b -> (i, a) -> b Source #
Sieve (Indexed i) ((->) i)
Instance details Defined in Control.Lens.Internal.Indexed Methods sieve :: Indexed i a b -> a -> i -> b Source #
MonadFix (Indexed i a)
Instance details Defined in Control.Lens.Internal.Indexed Methods mfix :: (a0 -> Indexed i a a0) -> Indexed i a a0 Source #
Applicative (Indexed i a)
Instance details Defined in Control.Lens.Internal.Indexed Methods pure :: a0 -> Indexed i a a0 Source # (<>) :: Indexed i a (a0 -> b) -> Indexed i a a0 -> Indexed i a b Source # liftA2 :: (a0 -> b -> c) -> Indexed i a a0 -> Indexed i a b -> Indexed i a c Source # (>) :: Indexed i a a0 -> Indexed i a b -> Indexed i a b Source # (<*) :: Indexed i a a0 -> Indexed i a b -> Indexed i a a0 Source #
Functor (Indexed i a)
Instance details Defined in Control.Lens.Internal.Indexed Methods fmap :: (a0 -> b) -> Indexed i a a0 -> Indexed i a b Source # (<$) :: a0 -> Indexed i a b -> Indexed i a a0 Source #
Monad (Indexed i a)
Instance details Defined in Control.Lens.Internal.Indexed Methods (>>=) :: Indexed i a a0 -> (a0 -> Indexed i a b) -> Indexed i a b Source # (>>) :: Indexed i a a0 -> Indexed i a b -> Indexed i a b Source # return :: a0 -> Indexed i a a0 Source #
Apply (Indexed i a)
Instance details Defined in Control.Lens.Internal.Indexed Methods (<.>) :: Indexed i a (a0 -> b) -> Indexed i a a0 -> Indexed i a b (.>) :: Indexed i a a0 -> Indexed i a b -> Indexed i a b (<.) :: Indexed i a a0 -> Indexed i a b -> Indexed i a a0 liftF2 :: (a0 -> b -> c) -> Indexed i a a0 -> Indexed i a b -> Indexed i a c
Bind (Indexed i a)
Instance details Defined in Control.Lens.Internal.Indexed Methods (>>-) :: Indexed i a a0 -> (a0 -> Indexed i a b) -> Indexed i a b join :: Indexed i a (Indexed i a a0) -> Indexed i a a0
type Corep (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed type Corep (Indexed i) = (,) i
type Rep (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed type Rep (Indexed i) = (->) i

type Simple (f :: k1 -> k1 -> k2 -> k2 -> k) (s :: k1) (a :: k2) = f s s a a Source #

A Simple Lens, Simple Traversal, ... can be used instead of a Lens,Traversal, ... whenever the type variables don't change upon setting a value.

_imagPart :: Simple Lens (Complex a) a
traversed :: Simple (IndexedTraversal Int) [a] a

Note: To use this alias in your own code with LensLike f or Setter, you may have to turn on LiberalTypeSynonyms.

This is commonly abbreviated as a "prime" marker, e.g. Lens' = Simple Lens.

class Wrapped s where Source #

Wrapped provides isomorphisms to wrap and unwrap newtypes or data types with one constructor.

Minimal complete definition

Nothing

Associated Types

type Unwrapped s Source #

type Unwrapped s = GUnwrapped (Rep s)

Methods

_Wrapped' :: Iso' s (Unwrapped s) Source #

An isomorphism between s and a.

If your type has a Generic instance, _Wrapped' will default to _GWrapped', and you can choose to not override it with your own definition.

Instances

Instances details

Wrapped NoMethodError
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped NoMethodError Source # Methods _Wrapped' :: Iso' NoMethodError (Unwrapped NoMethodError) Source #
Wrapped PatternMatchFail
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped PatternMatchFail Source # Methods _Wrapped' :: Iso' PatternMatchFail (Unwrapped PatternMatchFail) Source #
Wrapped RecConError
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped RecConError Source # Methods _Wrapped' :: Iso' RecConError (Unwrapped RecConError) Source #
Wrapped RecSelError
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped RecSelError Source # Methods _Wrapped' :: Iso' RecSelError (Unwrapped RecSelError) Source #
Wrapped RecUpdError
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped RecUpdError Source # Methods _Wrapped' :: Iso' RecUpdError (Unwrapped RecUpdError) Source #
Wrapped TypeError
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped TypeError Source # Methods _Wrapped' :: Iso' TypeError (Unwrapped TypeError) Source #
Wrapped All
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped All Source # Methods _Wrapped' :: Iso' All (Unwrapped All) Source #
Wrapped Any
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped Any Source # Methods _Wrapped' :: Iso' Any (Unwrapped Any) Source #
Wrapped Errno
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped Errno Source # Methods _Wrapped' :: Iso' Errno (Unwrapped Errno) Source #
Wrapped CBool
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CBool Source # Methods _Wrapped' :: Iso' CBool (Unwrapped CBool) Source #
Wrapped CChar
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CChar Source # Methods _Wrapped' :: Iso' CChar (Unwrapped CChar) Source #
Wrapped CClock
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CClock Source # Methods _Wrapped' :: Iso' CClock (Unwrapped CClock) Source #
Wrapped CDouble
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CDouble Source # Methods _Wrapped' :: Iso' CDouble (Unwrapped CDouble) Source #
Wrapped CFloat
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CFloat Source # Methods _Wrapped' :: Iso' CFloat (Unwrapped CFloat) Source #
Wrapped CInt
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CInt Source # Methods _Wrapped' :: Iso' CInt (Unwrapped CInt) Source #
Wrapped CIntMax
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CIntMax Source # Methods _Wrapped' :: Iso' CIntMax (Unwrapped CIntMax) Source #
Wrapped CIntPtr
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CIntPtr Source # Methods _Wrapped' :: Iso' CIntPtr (Unwrapped CIntPtr) Source #
Wrapped CLLong
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CLLong Source # Methods _Wrapped' :: Iso' CLLong (Unwrapped CLLong) Source #
Wrapped CLong
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CLong Source # Methods _Wrapped' :: Iso' CLong (Unwrapped CLong) Source #
Wrapped CPtrdiff
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CPtrdiff Source # Methods _Wrapped' :: Iso' CPtrdiff (Unwrapped CPtrdiff) Source #
Wrapped CSChar
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CSChar Source # Methods _Wrapped' :: Iso' CSChar (Unwrapped CSChar) Source #
Wrapped CSUSeconds
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CSUSeconds Source # Methods _Wrapped' :: Iso' CSUSeconds (Unwrapped CSUSeconds) Source #
Wrapped CShort
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CShort Source # Methods _Wrapped' :: Iso' CShort (Unwrapped CShort) Source #
Wrapped CSigAtomic
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CSigAtomic Source # Methods _Wrapped' :: Iso' CSigAtomic (Unwrapped CSigAtomic) Source #
Wrapped CSize
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CSize Source # Methods _Wrapped' :: Iso' CSize (Unwrapped CSize) Source #
Wrapped CTime
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CTime Source # Methods _Wrapped' :: Iso' CTime (Unwrapped CTime) Source #
Wrapped CUChar
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CUChar Source # Methods _Wrapped' :: Iso' CUChar (Unwrapped CUChar) Source #
Wrapped CUInt
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CUInt Source # Methods _Wrapped' :: Iso' CUInt (Unwrapped CUInt) Source #
Wrapped CUIntMax
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CUIntMax Source # Methods _Wrapped' :: Iso' CUIntMax (Unwrapped CUIntMax) Source #
Wrapped CUIntPtr
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CUIntPtr Source # Methods _Wrapped' :: Iso' CUIntPtr (Unwrapped CUIntPtr) Source #
Wrapped CULLong
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CULLong Source # Methods _Wrapped' :: Iso' CULLong (Unwrapped CULLong) Source #
Wrapped CULong
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CULong Source # Methods _Wrapped' :: Iso' CULong (Unwrapped CULong) Source #
Wrapped CUSeconds
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CUSeconds Source # Methods _Wrapped' :: Iso' CUSeconds (Unwrapped CUSeconds) Source #
Wrapped CUShort
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CUShort Source # Methods _Wrapped' :: Iso' CUShort (Unwrapped CUShort) Source #
Wrapped CWchar
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CWchar Source # Methods _Wrapped' :: Iso' CWchar (Unwrapped CWchar) Source #
Wrapped ErrorCall
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped ErrorCall Source # Methods _Wrapped' :: Iso' ErrorCall (Unwrapped ErrorCall) Source #
Wrapped AssertionFailed
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped AssertionFailed Source # Methods _Wrapped' :: Iso' AssertionFailed (Unwrapped AssertionFailed) Source #
Wrapped CompactionFailed
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CompactionFailed Source # Methods _Wrapped' :: Iso' CompactionFailed (Unwrapped CompactionFailed) Source #
Wrapped CBlkCnt
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CBlkCnt Source # Methods _Wrapped' :: Iso' CBlkCnt (Unwrapped CBlkCnt) Source #
Wrapped CBlkSize
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CBlkSize Source # Methods _Wrapped' :: Iso' CBlkSize (Unwrapped CBlkSize) Source #
Wrapped CCc
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CCc Source # Methods _Wrapped' :: Iso' CCc (Unwrapped CCc) Source #
Wrapped CClockId
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CClockId Source # Methods _Wrapped' :: Iso' CClockId (Unwrapped CClockId) Source #
Wrapped CDev
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CDev Source # Methods _Wrapped' :: Iso' CDev (Unwrapped CDev) Source #
Wrapped CFsBlkCnt
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CFsBlkCnt Source # Methods _Wrapped' :: Iso' CFsBlkCnt (Unwrapped CFsBlkCnt) Source #
Wrapped CFsFilCnt
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CFsFilCnt Source # Methods _Wrapped' :: Iso' CFsFilCnt (Unwrapped CFsFilCnt) Source #
Wrapped CGid
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CGid Source # Methods _Wrapped' :: Iso' CGid (Unwrapped CGid) Source #
Wrapped CId
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CId Source # Methods _Wrapped' :: Iso' CId (Unwrapped CId) Source #
Wrapped CIno
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CIno Source # Methods _Wrapped' :: Iso' CIno (Unwrapped CIno) Source #
Wrapped CKey
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CKey Source # Methods _Wrapped' :: Iso' CKey (Unwrapped CKey) Source #
Wrapped CMode
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CMode Source # Methods _Wrapped' :: Iso' CMode (Unwrapped CMode) Source #
Wrapped CNlink
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CNlink Source # Methods _Wrapped' :: Iso' CNlink (Unwrapped CNlink) Source #
Wrapped COff
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped COff Source # Methods _Wrapped' :: Iso' COff (Unwrapped COff) Source #
Wrapped CPid
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CPid Source # Methods _Wrapped' :: Iso' CPid (Unwrapped CPid) Source #
Wrapped CRLim
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CRLim Source # Methods _Wrapped' :: Iso' CRLim (Unwrapped CRLim) Source #
Wrapped CSpeed
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CSpeed Source # Methods _Wrapped' :: Iso' CSpeed (Unwrapped CSpeed) Source #
Wrapped CSsize
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CSsize Source # Methods _Wrapped' :: Iso' CSsize (Unwrapped CSsize) Source #
Wrapped CTcflag
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CTcflag Source # Methods _Wrapped' :: Iso' CTcflag (Unwrapped CTcflag) Source #
Wrapped CTimer
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CTimer Source # Methods _Wrapped' :: Iso' CTimer (Unwrapped CTimer) Source #
Wrapped CUid
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CUid Source # Methods _Wrapped' :: Iso' CUid (Unwrapped CUid) Source #
Wrapped Fd
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped Fd Source # Methods _Wrapped' :: Iso' Fd (Unwrapped Fd) Source #
Wrapped IntSet
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped IntSet Source # Methods _Wrapped' :: Iso' IntSet (Unwrapped IntSet) Source #
Wrapped Name
Instance details Defined in Diagrams.Core.Names Associated Types type Unwrapped Name Source # Methods _Wrapped' :: Iso' Name (Unwrapped Name) Source #
Wrapped SegCount Source #
Instance details Defined in Diagrams.Segment Associated Types type Unwrapped SegCount Source # Methods _Wrapped' :: Iso' SegCount (Unwrapped SegCount) Source #
Wrapped (Active a)
Instance details Defined in Data.Active Associated Types type Unwrapped (Active a) Source # Methods _Wrapped' :: Iso' (Active a) (Unwrapped (Active a)) Source #
Wrapped (Duration a)
Instance details Defined in Data.Active Associated Types type Unwrapped (Duration a) Source # Methods _Wrapped' :: Iso' (Duration a) (Unwrapped (Duration a)) Source #
Wrapped (Time a)
Instance details Defined in Data.Active Associated Types type Unwrapped (Time a) Source # Methods _Wrapped' :: Iso' (Time a) (Unwrapped (Time a)) Source #
Wrapped (ZipList a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (ZipList a) Source # Methods _Wrapped' :: Iso' (ZipList a) (Unwrapped (ZipList a)) Source #
Wrapped (Comparison a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Comparison a) Source # Methods _Wrapped' :: Iso' (Comparison a) (Unwrapped (Comparison a)) Source #
Wrapped (Equivalence a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Equivalence a) Source # Methods _Wrapped' :: Iso' (Equivalence a) (Unwrapped (Equivalence a)) Source #
Wrapped (Predicate a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Predicate a) Source # Methods _Wrapped' :: Iso' (Predicate a) (Unwrapped (Predicate a)) Source #
Wrapped (Identity a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Identity a) Source # Methods _Wrapped' :: Iso' (Identity a) (Unwrapped (Identity a)) Source #
Wrapped (First a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (First a) Source # Methods _Wrapped' :: Iso' (First a) (Unwrapped (First a)) Source #
Wrapped (Last a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Last a) Source # Methods _Wrapped' :: Iso' (Last a) (Unwrapped (Last a)) Source #
Wrapped (Down a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Down a) Source # Methods _Wrapped' :: Iso' (Down a) (Unwrapped (Down a)) Source #
Wrapped (First a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (First a) Source # Methods _Wrapped' :: Iso' (First a) (Unwrapped (First a)) Source #
Wrapped (Last a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Last a) Source # Methods _Wrapped' :: Iso' (Last a) (Unwrapped (Last a)) Source #
Wrapped (Max a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Max a) Source # Methods _Wrapped' :: Iso' (Max a) (Unwrapped (Max a)) Source #
Wrapped (Min a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Min a) Source # Methods _Wrapped' :: Iso' (Min a) (Unwrapped (Min a)) Source #
Wrapped (WrappedMonoid a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (WrappedMonoid a) Source # Methods _Wrapped' :: Iso' (WrappedMonoid a) (Unwrapped (WrappedMonoid a)) Source #
Wrapped (Dual a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Dual a) Source # Methods _Wrapped' :: Iso' (Dual a) (Unwrapped (Dual a)) Source #
Wrapped (Endo a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Endo a) Source # Methods _Wrapped' :: Iso' (Endo a) (Unwrapped (Endo a)) Source #
Wrapped (Product a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Product a) Source # Methods _Wrapped' :: Iso' (Product a) (Unwrapped (Product a)) Source #
Wrapped (Sum a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Sum a) Source # Methods _Wrapped' :: Iso' (Sum a) (Unwrapped (Sum a)) Source #
Wrapped (NonEmpty a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (NonEmpty a) Source # Methods _Wrapped' :: Iso' (NonEmpty a) (Unwrapped (NonEmpty a)) Source #
Wrapped (Par1 p)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Par1 p) Source # Methods _Wrapped' :: Iso' (Par1 p) (Unwrapped (Par1 p)) Source #
Wrapped (IntMap a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (IntMap a) Source # Methods _Wrapped' :: Iso' (IntMap a) (Unwrapped (IntMap a)) Source #
Wrapped (Seq a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Seq a) Source # Methods _Wrapped' :: Iso' (Seq a) (Unwrapped (Seq a)) Source #
Ord a => Wrapped (Set a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Set a) Source # Methods _Wrapped' :: Iso' (Set a) (Unwrapped (Set a)) Source #
Wrapped (TransInv t)
Instance details Defined in Diagrams.Core.Transform Associated Types type Unwrapped (TransInv t) Source # Methods _Wrapped' :: Iso' (TransInv t) (Unwrapped (TransInv t)) Source #
Wrapped (ArcLength n) Source #
Instance details Defined in Diagrams.Segment Associated Types type Unwrapped (ArcLength n) Source # Methods _Wrapped' :: Iso' (ArcLength n) (Unwrapped (ArcLength n)) Source #
Wrapped (Clip n) Source #
Instance details Defined in Diagrams.TwoD.Path Associated Types type Unwrapped (Clip n) Source # Methods _Wrapped' :: Iso' (Clip n) (Unwrapped (Clip n)) Source #
(Hashable a, Eq a) => Wrapped (HashSet a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (HashSet a) Source # Methods _Wrapped' :: Iso' (HashSet a) (Unwrapped (HashSet a)) Source #
Wrapped (Vector a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Vector a) Source # Methods _Wrapped' :: Iso' (Vector a) (Unwrapped (Vector a)) Source #
Prim a => Wrapped (Vector a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Vector a) Source # Methods _Wrapped' :: Iso' (Vector a) (Unwrapped (Vector a)) Source #
Storable a => Wrapped (Vector a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Vector a) Source # Methods _Wrapped' :: Iso' (Vector a) (Unwrapped (Vector a)) Source #
Unbox a => Wrapped (Vector a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Vector a) Source # Methods _Wrapped' :: Iso' (Vector a) (Unwrapped (Vector a)) Source #
Wrapped (WrappedMonad m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (WrappedMonad m a) Source # Methods _Wrapped' :: Iso' (WrappedMonad m a) (Unwrapped (WrappedMonad m a)) Source #
Wrapped (ArrowMonad m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (ArrowMonad m a) Source # Methods _Wrapped' :: Iso' (ArrowMonad m a) (Unwrapped (ArrowMonad m a)) Source #
Wrapped (Op a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Op a b) Source # Methods _Wrapped' :: Iso' (Op a b) (Unwrapped (Op a b)) Source #
Ord k => Wrapped (Map k a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Map k a) Source # Methods _Wrapped' :: Iso' (Map k a) (Unwrapped (Map k a)) Source #
Wrapped (Envelope v n)
Instance details Defined in Diagrams.Core.Envelope Associated Types type Unwrapped (Envelope v n) Source # Methods _Wrapped' :: Iso' (Envelope v n) (Unwrapped (Envelope v n)) Source #
Wrapped (Style v n)
Instance details Defined in Diagrams.Core.Style Associated Types type Unwrapped (Style v n) Source # Methods _Wrapped' :: Iso' (Style v n) (Unwrapped (Style v n)) Source #
Wrapped (Trace v n)
Instance details Defined in Diagrams.Core.Trace Associated Types type Unwrapped (Trace v n) Source # Methods _Wrapped' :: Iso' (Trace v n) (Unwrapped (Trace v n)) Source #
Wrapped (Path v n) Source #
Instance details Defined in Diagrams.Path Associated Types type Unwrapped (Path v n) Source # Methods _Wrapped' :: Iso' (Path v n) (Unwrapped (Path v n)) Source #
Wrapped (TotalOffset v n) Source #
Instance details Defined in Diagrams.Segment Associated Types type Unwrapped (TotalOffset v n) Source # Methods _Wrapped' :: Iso' (TotalOffset v n) (Unwrapped (TotalOffset v n)) Source #
Wrapped (SegTree v n) Source #
Instance details Defined in Diagrams.Trail Associated Types type Unwrapped (SegTree v n) Source # Methods _Wrapped' :: Iso' (SegTree v n) (Unwrapped (SegTree v n)) Source #
Wrapped (Trail v n) Source #
Instance details Defined in Diagrams.Trail Associated Types type Unwrapped (Trail v n) Source # Methods _Wrapped' :: Iso' (Trail v n) (Unwrapped (Trail v n)) Source #
Wrapped (CatchT m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (CatchT m a) Source # Methods _Wrapped' :: Iso' (CatchT m a) (Unwrapped (CatchT m a)) Source #
Wrapped (Alt f a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Alt f a) Source # Methods _Wrapped' :: Iso' (Alt f a) (Unwrapped (Alt f a)) Source #
Wrapped (CoiterT w a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (CoiterT w a) Source # Methods _Wrapped' :: Iso' (CoiterT w a) (Unwrapped (CoiterT w a)) Source #
Wrapped (IterT m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (IterT m a) Source # Methods _Wrapped' :: Iso' (IterT m a) (Unwrapped (IterT m a)) Source #
Wrapped (Point f a)
Instance details Defined in Linear.Affine Associated Types type Unwrapped (Point f a) Source # Methods _Wrapped' :: Iso' (Point f a) (Unwrapped (Point f a)) Source #
Wrapped (MaybeApply f a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (MaybeApply f a) Source # Methods _Wrapped' :: Iso' (MaybeApply f a) (Unwrapped (MaybeApply f a)) Source #
Wrapped (WrappedApplicative f a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (WrappedApplicative f a) Source # Methods _Wrapped' :: Iso' (WrappedApplicative f a) (Unwrapped (WrappedApplicative f a)) Source #
Wrapped (MaybeT m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (MaybeT m a) Source # Methods _Wrapped' :: Iso' (MaybeT m a) (Unwrapped (MaybeT m a)) Source #
(Hashable k, Eq k) => Wrapped (HashMap k a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (HashMap k a) Source # Methods _Wrapped' :: Iso' (HashMap k a) (Unwrapped (HashMap k a)) Source #
Wrapped (WrappedArrow a b c)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (WrappedArrow a b c) Source # Methods _Wrapped' :: Iso' (WrappedArrow a b c) (Unwrapped (WrappedArrow a b c)) Source #
Wrapped (Kleisli m a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Kleisli m a b) Source # Methods _Wrapped' :: Iso' (Kleisli m a b) (Unwrapped (Kleisli m a b)) Source #
Wrapped (Const a x)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Const a x) Source # Methods _Wrapped' :: Iso' (Const a x) (Unwrapped (Const a x)) Source #
Wrapped (Ap f a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Ap f a) Source # Methods _Wrapped' :: Iso' (Ap f a) (Unwrapped (Ap f a)) Source #
Wrapped (Alt f a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Alt f a) Source # Methods _Wrapped' :: Iso' (Alt f a) (Unwrapped (Alt f a)) Source #
Wrapped (Rec1 f p)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Rec1 f p) Source # Methods _Wrapped' :: Iso' (Rec1 f p) (Unwrapped (Rec1 f p)) Source #
Wrapped (Fix p a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Fix p a) Source # Methods _Wrapped' :: Iso' (Fix p a) (Unwrapped (Fix p a)) Source #
Wrapped (Join p a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Join p a) Source # Methods _Wrapped' :: Iso' (Join p a) (Unwrapped (Join p a)) Source #
Wrapped (TracedT m w a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (TracedT m w a) Source # Methods _Wrapped' :: Iso' (TracedT m w a) (Unwrapped (TracedT m w a)) Source #
Wrapped (Compose f g a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Compose f g a) Source # Methods _Wrapped' :: Iso' (Compose f g a) (Unwrapped (Compose f g a)) Source #
Wrapped (ComposeCF f g a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (ComposeCF f g a) Source # Methods _Wrapped' :: Iso' (ComposeCF f g a) (Unwrapped (ComposeCF f g a)) Source #
Wrapped (ComposeFC f g a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (ComposeFC f g a) Source # Methods _Wrapped' :: Iso' (ComposeFC f g a) (Unwrapped (ComposeFC f g a)) Source #
Wrapped (Query v n m)
Instance details Defined in Diagrams.Core.Query Associated Types type Unwrapped (Query v n m) Source # Methods _Wrapped' :: Iso' (Query v n m) (Unwrapped (Query v n m)) Source #
Wrapped (Trail' Line v n) Source #
Instance details Defined in Diagrams.Trail Associated Types type Unwrapped (Trail' Line v n) Source # Methods _Wrapped' :: Iso' (Trail' Line v n) (Unwrapped (Trail' Line v n)) Source #
Wrapped (ApT f g a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (ApT f g a) Source # Methods _Wrapped' :: Iso' (ApT f g a) (Unwrapped (ApT f g a)) Source #
Wrapped (CofreeT f w a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (CofreeT f w a) Source # Methods _Wrapped' :: Iso' (CofreeT f w a) (Unwrapped (CofreeT f w a)) Source #
Wrapped (FreeT f m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (FreeT f m a) Source # Methods _Wrapped' :: Iso' (FreeT f m a) (Unwrapped (FreeT f m a)) Source #
Wrapped (Static f a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Static f a b) Source # Methods _Wrapped' :: Iso' (Static f a b) (Unwrapped (Static f a b)) Source #
Wrapped (Tagged s a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Tagged s a) Source # Methods _Wrapped' :: Iso' (Tagged s a) (Unwrapped (Tagged s a)) Source #
Wrapped (Backwards f a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Backwards f a) Source # Methods _Wrapped' :: Iso' (Backwards f a) (Unwrapped (Backwards f a)) Source #
Wrapped (ExceptT e m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (ExceptT e m a) Source # Methods _Wrapped' :: Iso' (ExceptT e m a) (Unwrapped (ExceptT e m a)) Source #
Wrapped (IdentityT m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (IdentityT m a) Source # Methods _Wrapped' :: Iso' (IdentityT m a) (Unwrapped (IdentityT m a)) Source #
Wrapped (ReaderT r m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (ReaderT r m a) Source # Methods _Wrapped' :: Iso' (ReaderT r m a) (Unwrapped (ReaderT r m a)) Source #
Wrapped (StateT s m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (StateT s m a) Source # Methods _Wrapped' :: Iso' (StateT s m a) (Unwrapped (StateT s m a)) Source #
Wrapped (StateT s m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (StateT s m a) Source # Methods _Wrapped' :: Iso' (StateT s m a) (Unwrapped (StateT s m a)) Source #
Wrapped (WriterT w m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (WriterT w m a) Source # Methods _Wrapped' :: Iso' (WriterT w m a) (Unwrapped (WriterT w m a)) Source #
Wrapped (WriterT w m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (WriterT w m a) Source # Methods _Wrapped' :: Iso' (WriterT w m a) (Unwrapped (WriterT w m a)) Source #
Wrapped (Constant a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Constant a b) Source # Methods _Wrapped' :: Iso' (Constant a b) (Unwrapped (Constant a b)) Source #
Wrapped (Reverse f a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Reverse f a) Source # Methods _Wrapped' :: Iso' (Reverse f a) (Unwrapped (Reverse f a)) Source #
Wrapped (K1 i c p)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (K1 i c p) Source # Methods _Wrapped' :: Iso' (K1 i c p) (Unwrapped (K1 i c p)) Source #
Wrapped (QDiagram b v n m)
Instance details Defined in Diagrams.Core.Types Associated Types type Unwrapped (QDiagram b v n m) Source # Methods _Wrapped' :: Iso' (QDiagram b v n m) (Unwrapped (QDiagram b v n m)) Source #
Wrapped (SubMap b v n m)
Instance details Defined in Diagrams.Core.Types Associated Types type Unwrapped (SubMap b v n m) Source # Methods _Wrapped' :: Iso' (SubMap b v n m) (Unwrapped (SubMap b v n m)) Source #
Wrapped (Costar f d c)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Costar f d c) Source # Methods _Wrapped' :: Iso' (Costar f d c) (Unwrapped (Costar f d c)) Source #
Wrapped (Forget r a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Forget r a b) Source # Methods _Wrapped' :: Iso' (Forget r a b) (Unwrapped (Forget r a b)) Source #
Wrapped (Star f d c)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Star f d c) Source # Methods _Wrapped' :: Iso' (Star f d c) (Unwrapped (Star f d c)) Source #
Wrapped (ContT r m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (ContT r m a) Source # Methods _Wrapped' :: Iso' (ContT r m a) (Unwrapped (ContT r m a)) Source #
Wrapped (Compose f g a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Compose f g a) Source # Methods _Wrapped' :: Iso' (Compose f g a) (Unwrapped (Compose f g a)) Source #
Wrapped ((f :.: g) p)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped ((f :.: g) p) Source # Methods _Wrapped' :: Iso' ((f :.: g) p) (Unwrapped ((f :.: g) p)) Source #
Wrapped (M1 i c f p)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (M1 i c f p) Source # Methods _Wrapped' :: Iso' (M1 i c f p) (Unwrapped (M1 i c f p)) Source #
Wrapped (Clown f a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Clown f a b) Source # Methods _Wrapped' :: Iso' (Clown f a b) (Unwrapped (Clown f a b)) Source #
Wrapped (Flip p a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Flip p a b) Source # Methods _Wrapped' :: Iso' (Flip p a b) (Unwrapped (Flip p a b)) Source #
Wrapped (Joker g a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Joker g a b) Source # Methods _Wrapped' :: Iso' (Joker g a b) (Unwrapped (Joker g a b)) Source #
Wrapped (WrappedBifunctor p a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (WrappedBifunctor p a b) Source # Methods _Wrapped' :: Iso' (WrappedBifunctor p a b) (Unwrapped (WrappedBifunctor p a b)) Source #
Wrapped (WrappedArrow p a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (WrappedArrow p a b) Source # Methods _Wrapped' :: Iso' (WrappedArrow p a b) (Unwrapped (WrappedArrow p a b)) Source #
Wrapped (Semi m a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Semi m a b) Source # Methods _Wrapped' :: Iso' (Semi m a b) (Unwrapped (Semi m a b)) Source #
Wrapped (WrappedCategory k3 a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (WrappedCategory k3 a b) Source # Methods _Wrapped' :: Iso' (WrappedCategory k3 a b) (Unwrapped (WrappedCategory k3 a b)) Source #
Wrapped (Dual k3 a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Dual k3 a b) Source # Methods _Wrapped' :: Iso' (Dual k3 a b) (Unwrapped (Dual k3 a b)) Source #
Wrapped (RWST r w s m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (RWST r w s m a) Source # Methods _Wrapped' :: Iso' (RWST r w s m a) (Unwrapped (RWST r w s m a)) Source #
Wrapped (RWST r w s m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (RWST r w s m a) Source # Methods _Wrapped' :: Iso' (RWST r w s m a) (Unwrapped (RWST r w s m a)) Source #
Wrapped (Tannen f p a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Tannen f p a b) Source # Methods _Wrapped' :: Iso' (Tannen f p a b) (Unwrapped (Tannen f p a b)) Source #
Wrapped (Cayley f p a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Cayley f p a b) Source # Methods _Wrapped' :: Iso' (Cayley f p a b) (Unwrapped (Cayley f p a b)) Source #
Wrapped (Biff p f g a b)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Biff p f g a b) Source # Methods _Wrapped' :: Iso' (Biff p f g a b) (Unwrapped (Biff p f g a b)) Source #

class (FunctorWithIndex i t, FoldableWithIndex i t, Traversable t) => TraversableWithIndex i (t :: Type -> Type) | t -> i where #

Minimal complete definition

Nothing

Methods

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

Instances

Instances details

TraversableWithIndex () Identity
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (() -> a -> f b) -> Identity a -> f (Identity b) #
TraversableWithIndex () Par1
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (() -> a -> f b) -> Par1 a -> f (Par1 b) #
TraversableWithIndex () Maybe
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (() -> a -> f b) -> Maybe a -> f (Maybe b) #
TraversableWithIndex Int ZipList
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (Int -> a -> f b) -> ZipList a -> f (ZipList b) #
TraversableWithIndex Int NonEmpty
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (Int -> a -> f b) -> NonEmpty a -> f (NonEmpty b) #
TraversableWithIndex Int IntMap
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (Int -> a -> f b) -> IntMap a -> f (IntMap b) #
TraversableWithIndex Int Seq
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (Int -> a -> f b) -> Seq a -> f (Seq b) #
TraversableWithIndex Int List
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (Int -> a -> f b) -> [a] -> f [b] #
TraversableWithIndex Void (Proxy :: Type -> Type)
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (Void -> a -> f b) -> Proxy a -> f (Proxy b) #
TraversableWithIndex Void (U1 :: Type -> Type)
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (Void -> a -> f b) -> U1 a -> f (U1 b) #
TraversableWithIndex Void (V1 :: Type -> Type)
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (Void -> a -> f b) -> V1 a -> f (V1 b) #
Ix i => TraversableWithIndex i (Array i)
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (i -> a -> f b) -> Array i a -> f (Array i b) #
TraversableWithIndex i (Level i)
Instance details Defined in Control.Lens.Internal.Level Methods itraverse :: Applicative f => (i -> a -> f b) -> Level i a -> f (Level i b) #
TraversableWithIndex k (Map k)
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (k -> a -> f b) -> Map k a -> f (Map k b) #
TraversableWithIndex k ((,) k)
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (k -> a -> f b) -> (k, a) -> f (k, b) #
TraversableWithIndex Void (Const e :: Type -> Type)
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (Void -> a -> f b) -> Const e a -> f (Const e b) #
TraversableWithIndex Void (Constant e :: Type -> Type)
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (Void -> a -> f b) -> Constant e a -> f (Constant e b) #
TraversableWithIndex Int (V n)
Instance details Defined in Linear.V Methods itraverse :: Applicative f => (Int -> a -> f b) -> V n a -> f (V n b) #
TraversableWithIndex i f => TraversableWithIndex i (Rec1 f)
Instance details Defined in WithIndex Methods itraverse :: Applicative f0 => (i -> a -> f0 b) -> Rec1 f a -> f0 (Rec1 f b) #
TraversableWithIndex i f => TraversableWithIndex i (Backwards f)
Instance details Defined in WithIndex Methods itraverse :: Applicative f0 => (i -> a -> f0 b) -> Backwards f a -> f0 (Backwards f b) #
TraversableWithIndex i m => TraversableWithIndex i (IdentityT m)
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (i -> a -> f b) -> IdentityT m a -> f (IdentityT m b) #
TraversableWithIndex i f => TraversableWithIndex i (Reverse f)
Instance details Defined in WithIndex Methods itraverse :: Applicative f0 => (i -> a -> f0 b) -> Reverse f a -> f0 (Reverse f b) #
TraversableWithIndex Void (K1 i c :: Type -> Type)
Instance details Defined in WithIndex Methods itraverse :: Applicative f => (Void -> a -> f b) -> K1 i c a -> f (K1 i c b) #
TraversableWithIndex i (Magma i t b)
Instance details Defined in Control.Lens.Internal.Magma Methods itraverse :: Applicative f => (i -> a -> f b0) -> Magma i t b a -> f (Magma i t b b0) #
TraversableWithIndex (E Plucker) Plucker
Instance details Defined in Linear.Plucker Methods itraverse :: Applicative f => (E Plucker -> a -> f b) -> Plucker a -> f (Plucker b) #
TraversableWithIndex (E Quaternion) Quaternion
Instance details Defined in Linear.Quaternion Methods itraverse :: Applicative f => (E Quaternion -> a -> f b) -> Quaternion a -> f (Quaternion b) #
TraversableWithIndex (E V0) V0
Instance details Defined in Linear.V0 Methods itraverse :: Applicative f => (E V0 -> a -> f b) -> V0 a -> f (V0 b) #
TraversableWithIndex (E V1) V1
Instance details Defined in Linear.V1 Methods itraverse :: Applicative f => (E V1 -> a -> f b) -> V1 a -> f (V1 b) #
TraversableWithIndex (E V2) V2
Instance details Defined in Linear.V2 Methods itraverse :: Applicative f => (E V2 -> a -> f b) -> V2 a -> f (V2 b) #
TraversableWithIndex (E V3) V3
Instance details Defined in Linear.V3 Methods itraverse :: Applicative f => (E V3 -> a -> f b) -> V3 a -> f (V3 b) #
TraversableWithIndex (E V4) V4
Instance details Defined in Linear.V4 Methods itraverse :: Applicative f => (E V4 -> a -> f b) -> V4 a -> f (V4 b) #
TraversableWithIndex [Int] Tree
Instance details Defined in WithIndex Methods itraverse :: Applicative f => ([Int] -> a -> f b) -> Tree a -> f (Tree b) #
TraversableWithIndex i f => TraversableWithIndex [i] (Cofree f)
Instance details Defined in Control.Comonad.Cofree Methods itraverse :: Applicative f0 => ([i] -> a -> f0 b) -> Cofree f a -> f0 (Cofree f b) #
TraversableWithIndex i f => TraversableWithIndex [i] (Free f)
Instance details Defined in Control.Monad.Free Methods itraverse :: Applicative f0 => ([i] -> a -> f0 b) -> Free f a -> f0 (Free f b) #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (Product f g)
Instance details Defined in WithIndex Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> Product f g a -> f0 (Product f g b) #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (Sum f g)
Instance details Defined in WithIndex Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> Sum f g a -> f0 (Sum f g b) #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (f :*: g)
Instance details Defined in WithIndex Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> (f :: g) a -> f0 ((f :: g) b) #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (f :+: g)
Instance details Defined in WithIndex Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (i, j) (Compose f g)
Instance details Defined in WithIndex Methods itraverse :: Applicative f0 => ((i, j) -> a -> f0 b) -> Compose f g a -> f0 (Compose f g b) #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (i, j) (f :.: g)
Instance details Defined in WithIndex Methods itraverse :: Applicative f0 => ((i, j) -> a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) #

class Foldable f => FoldableWithIndex i (f :: Type -> Type) | f -> i where #

Minimal complete definition

Nothing

Methods

ifoldMap :: Monoid m => (i -> a -> m) -> f a -> m #

ifoldMap' :: Monoid m => (i -> a -> m) -> f a -> m #

ifoldr :: (i -> a -> b -> b) -> b -> f a -> b #

ifoldl :: (i -> b -> a -> b) -> b -> f a -> b #

ifoldr' :: (i -> a -> b -> b) -> b -> f a -> b #

ifoldl' :: (i -> b -> a -> b) -> b -> f a -> b #

Instances

Instances details

FoldableWithIndex () Identity
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (() -> a -> m) -> Identity a -> m # ifoldMap' :: Monoid m => (() -> a -> m) -> Identity a -> m # ifoldr :: (() -> a -> b -> b) -> b -> Identity a -> b # ifoldl :: (() -> b -> a -> b) -> b -> Identity a -> b # ifoldr' :: (() -> a -> b -> b) -> b -> Identity a -> b # ifoldl' :: (() -> b -> a -> b) -> b -> Identity a -> b #
FoldableWithIndex () Par1
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (() -> a -> m) -> Par1 a -> m # ifoldMap' :: Monoid m => (() -> a -> m) -> Par1 a -> m # ifoldr :: (() -> a -> b -> b) -> b -> Par1 a -> b # ifoldl :: (() -> b -> a -> b) -> b -> Par1 a -> b # ifoldr' :: (() -> a -> b -> b) -> b -> Par1 a -> b # ifoldl' :: (() -> b -> a -> b) -> b -> Par1 a -> b #
FoldableWithIndex () Maybe
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (() -> a -> m) -> Maybe a -> m # ifoldMap' :: Monoid m => (() -> a -> m) -> Maybe a -> m # ifoldr :: (() -> a -> b -> b) -> b -> Maybe a -> b # ifoldl :: (() -> b -> a -> b) -> b -> Maybe a -> b # ifoldr' :: (() -> a -> b -> b) -> b -> Maybe a -> b # ifoldl' :: (() -> b -> a -> b) -> b -> Maybe a -> b #
FoldableWithIndex Int ZipList
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Int -> a -> m) -> ZipList a -> m # ifoldMap' :: Monoid m => (Int -> a -> m) -> ZipList a -> m # ifoldr :: (Int -> a -> b -> b) -> b -> ZipList a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> ZipList a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> ZipList a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> ZipList a -> b #
FoldableWithIndex Int NonEmpty
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Int -> a -> m) -> NonEmpty a -> m # ifoldMap' :: Monoid m => (Int -> a -> m) -> NonEmpty a -> m # ifoldr :: (Int -> a -> b -> b) -> b -> NonEmpty a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> NonEmpty a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> NonEmpty a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> NonEmpty a -> b #
FoldableWithIndex Int IntMap
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Int -> a -> m) -> IntMap a -> m # ifoldMap' :: Monoid m => (Int -> a -> m) -> IntMap a -> m # ifoldr :: (Int -> a -> b -> b) -> b -> IntMap a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> IntMap a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> IntMap a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> IntMap a -> b #
FoldableWithIndex Int Seq
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Int -> a -> m) -> Seq a -> m # ifoldMap' :: Monoid m => (Int -> a -> m) -> Seq a -> m # ifoldr :: (Int -> a -> b -> b) -> b -> Seq a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> Seq a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> Seq a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> Seq a -> b #
FoldableWithIndex Int List
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Int -> a -> m) -> [a] -> m # ifoldMap' :: Monoid m => (Int -> a -> m) -> [a] -> m # ifoldr :: (Int -> a -> b -> b) -> b -> [a] -> b # ifoldl :: (Int -> b -> a -> b) -> b -> [a] -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> [a] -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> [a] -> b #
FoldableWithIndex Void (Proxy :: Type -> Type)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Void -> a -> m) -> Proxy a -> m # ifoldMap' :: Monoid m => (Void -> a -> m) -> Proxy a -> m # ifoldr :: (Void -> a -> b -> b) -> b -> Proxy a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> Proxy a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> Proxy a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> Proxy a -> b #
FoldableWithIndex Void (U1 :: Type -> Type)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Void -> a -> m) -> U1 a -> m # ifoldMap' :: Monoid m => (Void -> a -> m) -> U1 a -> m # ifoldr :: (Void -> a -> b -> b) -> b -> U1 a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> U1 a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> U1 a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> U1 a -> b #
FoldableWithIndex Void (V1 :: Type -> Type)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Void -> a -> m) -> V1 a -> m # ifoldMap' :: Monoid m => (Void -> a -> m) -> V1 a -> m # ifoldr :: (Void -> a -> b -> b) -> b -> V1 a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> V1 a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> V1 a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> V1 a -> b #
Ix i => FoldableWithIndex i (Array i)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (i -> a -> m) -> Array i a -> m # ifoldMap' :: Monoid m => (i -> a -> m) -> Array i a -> m # ifoldr :: (i -> a -> b -> b) -> b -> Array i a -> b # ifoldl :: (i -> b -> a -> b) -> b -> Array i a -> b # ifoldr' :: (i -> a -> b -> b) -> b -> Array i a -> b # ifoldl' :: (i -> b -> a -> b) -> b -> Array i a -> b #
FoldableWithIndex i (Level i)
Instance details Defined in Control.Lens.Internal.Level Methods ifoldMap :: Monoid m => (i -> a -> m) -> Level i a -> m # ifoldMap' :: Monoid m => (i -> a -> m) -> Level i a -> m # ifoldr :: (i -> a -> b -> b) -> b -> Level i a -> b # ifoldl :: (i -> b -> a -> b) -> b -> Level i a -> b # ifoldr' :: (i -> a -> b -> b) -> b -> Level i a -> b # ifoldl' :: (i -> b -> a -> b) -> b -> Level i a -> b #
FoldableWithIndex k (Map k)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (k -> a -> m) -> Map k a -> m # ifoldMap' :: Monoid m => (k -> a -> m) -> Map k a -> m # ifoldr :: (k -> a -> b -> b) -> b -> Map k a -> b # ifoldl :: (k -> b -> a -> b) -> b -> Map k a -> b # ifoldr' :: (k -> a -> b -> b) -> b -> Map k a -> b # ifoldl' :: (k -> b -> a -> b) -> b -> Map k a -> b #
FoldableWithIndex k ((,) k)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (k -> a -> m) -> (k, a) -> m # ifoldMap' :: Monoid m => (k -> a -> m) -> (k, a) -> m # ifoldr :: (k -> a -> b -> b) -> b -> (k, a) -> b # ifoldl :: (k -> b -> a -> b) -> b -> (k, a) -> b # ifoldr' :: (k -> a -> b -> b) -> b -> (k, a) -> b # ifoldl' :: (k -> b -> a -> b) -> b -> (k, a) -> b #
FoldableWithIndex Void (Const e :: Type -> Type)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Void -> a -> m) -> Const e a -> m # ifoldMap' :: Monoid m => (Void -> a -> m) -> Const e a -> m # ifoldr :: (Void -> a -> b -> b) -> b -> Const e a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> Const e a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> Const e a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> Const e a -> b #
FoldableWithIndex Void (Constant e :: Type -> Type)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Void -> a -> m) -> Constant e a -> m # ifoldMap' :: Monoid m => (Void -> a -> m) -> Constant e a -> m # ifoldr :: (Void -> a -> b -> b) -> b -> Constant e a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> Constant e a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> Constant e a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> Constant e a -> b #
FoldableWithIndex Int (V n)
Instance details Defined in Linear.V Methods ifoldMap :: Monoid m => (Int -> a -> m) -> V n a -> m # ifoldMap' :: Monoid m => (Int -> a -> m) -> V n a -> m # ifoldr :: (Int -> a -> b -> b) -> b -> V n a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> V n a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> V n a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> V n a -> b #
FoldableWithIndex i f => FoldableWithIndex i (Rec1 f)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (i -> a -> m) -> Rec1 f a -> m # ifoldMap' :: Monoid m => (i -> a -> m) -> Rec1 f a -> m # ifoldr :: (i -> a -> b -> b) -> b -> Rec1 f a -> b # ifoldl :: (i -> b -> a -> b) -> b -> Rec1 f a -> b # ifoldr' :: (i -> a -> b -> b) -> b -> Rec1 f a -> b # ifoldl' :: (i -> b -> a -> b) -> b -> Rec1 f a -> b #
FoldableWithIndex i f => FoldableWithIndex i (Backwards f)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (i -> a -> m) -> Backwards f a -> m # ifoldMap' :: Monoid m => (i -> a -> m) -> Backwards f a -> m # ifoldr :: (i -> a -> b -> b) -> b -> Backwards f a -> b # ifoldl :: (i -> b -> a -> b) -> b -> Backwards f a -> b # ifoldr' :: (i -> a -> b -> b) -> b -> Backwards f a -> b # ifoldl' :: (i -> b -> a -> b) -> b -> Backwards f a -> b #
FoldableWithIndex i m => FoldableWithIndex i (IdentityT m)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m0 => (i -> a -> m0) -> IdentityT m a -> m0 # ifoldMap' :: Monoid m0 => (i -> a -> m0) -> IdentityT m a -> m0 # ifoldr :: (i -> a -> b -> b) -> b -> IdentityT m a -> b # ifoldl :: (i -> b -> a -> b) -> b -> IdentityT m a -> b # ifoldr' :: (i -> a -> b -> b) -> b -> IdentityT m a -> b # ifoldl' :: (i -> b -> a -> b) -> b -> IdentityT m a -> b #
FoldableWithIndex i f => FoldableWithIndex i (Reverse f)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (i -> a -> m) -> Reverse f a -> m # ifoldMap' :: Monoid m => (i -> a -> m) -> Reverse f a -> m # ifoldr :: (i -> a -> b -> b) -> b -> Reverse f a -> b # ifoldl :: (i -> b -> a -> b) -> b -> Reverse f a -> b # ifoldr' :: (i -> a -> b -> b) -> b -> Reverse f a -> b # ifoldl' :: (i -> b -> a -> b) -> b -> Reverse f a -> b #
FoldableWithIndex Void (K1 i c :: Type -> Type)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Void -> a -> m) -> K1 i c a -> m # ifoldMap' :: Monoid m => (Void -> a -> m) -> K1 i c a -> m # ifoldr :: (Void -> a -> b -> b) -> b -> K1 i c a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> K1 i c a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> K1 i c a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> K1 i c a -> b #
FoldableWithIndex i (Magma i t b)
Instance details Defined in Control.Lens.Internal.Magma Methods ifoldMap :: Monoid m => (i -> a -> m) -> Magma i t b a -> m # ifoldMap' :: Monoid m => (i -> a -> m) -> Magma i t b a -> m # ifoldr :: (i -> a -> b0 -> b0) -> b0 -> Magma i t b a -> b0 # ifoldl :: (i -> b0 -> a -> b0) -> b0 -> Magma i t b a -> b0 # ifoldr' :: (i -> a -> b0 -> b0) -> b0 -> Magma i t b a -> b0 # ifoldl' :: (i -> b0 -> a -> b0) -> b0 -> Magma i t b a -> b0 #
FoldableWithIndex (E Plucker) Plucker
Instance details Defined in Linear.Plucker Methods ifoldMap :: Monoid m => (E Plucker -> a -> m) -> Plucker a -> m # ifoldMap' :: Monoid m => (E Plucker -> a -> m) -> Plucker a -> m # ifoldr :: (E Plucker -> a -> b -> b) -> b -> Plucker a -> b # ifoldl :: (E Plucker -> b -> a -> b) -> b -> Plucker a -> b # ifoldr' :: (E Plucker -> a -> b -> b) -> b -> Plucker a -> b # ifoldl' :: (E Plucker -> b -> a -> b) -> b -> Plucker a -> b #
FoldableWithIndex (E Quaternion) Quaternion
Instance details Defined in Linear.Quaternion Methods ifoldMap :: Monoid m => (E Quaternion -> a -> m) -> Quaternion a -> m # ifoldMap' :: Monoid m => (E Quaternion -> a -> m) -> Quaternion a -> m # ifoldr :: (E Quaternion -> a -> b -> b) -> b -> Quaternion a -> b # ifoldl :: (E Quaternion -> b -> a -> b) -> b -> Quaternion a -> b # ifoldr' :: (E Quaternion -> a -> b -> b) -> b -> Quaternion a -> b # ifoldl' :: (E Quaternion -> b -> a -> b) -> b -> Quaternion a -> b #
FoldableWithIndex (E V0) V0
Instance details Defined in Linear.V0 Methods ifoldMap :: Monoid m => (E V0 -> a -> m) -> V0 a -> m # ifoldMap' :: Monoid m => (E V0 -> a -> m) -> V0 a -> m # ifoldr :: (E V0 -> a -> b -> b) -> b -> V0 a -> b # ifoldl :: (E V0 -> b -> a -> b) -> b -> V0 a -> b # ifoldr' :: (E V0 -> a -> b -> b) -> b -> V0 a -> b # ifoldl' :: (E V0 -> b -> a -> b) -> b -> V0 a -> b #
FoldableWithIndex (E V1) V1
Instance details Defined in Linear.V1 Methods ifoldMap :: Monoid m => (E V1 -> a -> m) -> V1 a -> m # ifoldMap' :: Monoid m => (E V1 -> a -> m) -> V1 a -> m # ifoldr :: (E V1 -> a -> b -> b) -> b -> V1 a -> b # ifoldl :: (E V1 -> b -> a -> b) -> b -> V1 a -> b # ifoldr' :: (E V1 -> a -> b -> b) -> b -> V1 a -> b # ifoldl' :: (E V1 -> b -> a -> b) -> b -> V1 a -> b #
FoldableWithIndex (E V2) V2
Instance details Defined in Linear.V2 Methods ifoldMap :: Monoid m => (E V2 -> a -> m) -> V2 a -> m # ifoldMap' :: Monoid m => (E V2 -> a -> m) -> V2 a -> m # ifoldr :: (E V2 -> a -> b -> b) -> b -> V2 a -> b # ifoldl :: (E V2 -> b -> a -> b) -> b -> V2 a -> b # ifoldr' :: (E V2 -> a -> b -> b) -> b -> V2 a -> b # ifoldl' :: (E V2 -> b -> a -> b) -> b -> V2 a -> b #
FoldableWithIndex (E V3) V3
Instance details Defined in Linear.V3 Methods ifoldMap :: Monoid m => (E V3 -> a -> m) -> V3 a -> m # ifoldMap' :: Monoid m => (E V3 -> a -> m) -> V3 a -> m # ifoldr :: (E V3 -> a -> b -> b) -> b -> V3 a -> b # ifoldl :: (E V3 -> b -> a -> b) -> b -> V3 a -> b # ifoldr' :: (E V3 -> a -> b -> b) -> b -> V3 a -> b # ifoldl' :: (E V3 -> b -> a -> b) -> b -> V3 a -> b #
FoldableWithIndex (E V4) V4
Instance details Defined in Linear.V4 Methods ifoldMap :: Monoid m => (E V4 -> a -> m) -> V4 a -> m # ifoldMap' :: Monoid m => (E V4 -> a -> m) -> V4 a -> m # ifoldr :: (E V4 -> a -> b -> b) -> b -> V4 a -> b # ifoldl :: (E V4 -> b -> a -> b) -> b -> V4 a -> b # ifoldr' :: (E V4 -> a -> b -> b) -> b -> V4 a -> b # ifoldl' :: (E V4 -> b -> a -> b) -> b -> V4 a -> b #
FoldableWithIndex [Int] Tree
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => ([Int] -> a -> m) -> Tree a -> m # ifoldMap' :: Monoid m => ([Int] -> a -> m) -> Tree a -> m # ifoldr :: ([Int] -> a -> b -> b) -> b -> Tree a -> b # ifoldl :: ([Int] -> b -> a -> b) -> b -> Tree a -> b # ifoldr' :: ([Int] -> a -> b -> b) -> b -> Tree a -> b # ifoldl' :: ([Int] -> b -> a -> b) -> b -> Tree a -> b #
FoldableWithIndex i f => FoldableWithIndex [i] (Cofree f)
Instance details Defined in Control.Comonad.Cofree Methods ifoldMap :: Monoid m => ([i] -> a -> m) -> Cofree f a -> m # ifoldMap' :: Monoid m => ([i] -> a -> m) -> Cofree f a -> m # ifoldr :: ([i] -> a -> b -> b) -> b -> Cofree f a -> b # ifoldl :: ([i] -> b -> a -> b) -> b -> Cofree f a -> b # ifoldr' :: ([i] -> a -> b -> b) -> b -> Cofree f a -> b # ifoldl' :: ([i] -> b -> a -> b) -> b -> Cofree f a -> b #
FoldableWithIndex i f => FoldableWithIndex [i] (Free f)
Instance details Defined in Control.Monad.Free Methods ifoldMap :: Monoid m => ([i] -> a -> m) -> Free f a -> m # ifoldMap' :: Monoid m => ([i] -> a -> m) -> Free f a -> m # ifoldr :: ([i] -> a -> b -> b) -> b -> Free f a -> b # ifoldl :: ([i] -> b -> a -> b) -> b -> Free f a -> b # ifoldr' :: ([i] -> a -> b -> b) -> b -> Free f a -> b # ifoldl' :: ([i] -> b -> a -> b) -> b -> Free f a -> b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (Product f g)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> Product f g a -> m # ifoldMap' :: Monoid m => (Either i j -> a -> m) -> Product f g a -> m # ifoldr :: (Either i j -> a -> b -> b) -> b -> Product f g a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> Product f g a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> Product f g a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> Product f g a -> b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (Sum f g)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> Sum f g a -> m # ifoldMap' :: Monoid m => (Either i j -> a -> m) -> Sum f g a -> m # ifoldr :: (Either i j -> a -> b -> b) -> b -> Sum f g a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> Sum f g a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> Sum f g a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> Sum f g a -> b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (f :*: g)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> (f :: g) a -> m # ifoldMap' :: Monoid m => (Either i j -> a -> m) -> (f :: g) a -> m # ifoldr :: (Either i j -> a -> b -> b) -> b -> (f :: g) a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> (f :: g) a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> (f :: g) a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> (f :: g) a -> b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (f :+: g)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> (f :+: g) a -> m # ifoldMap' :: Monoid m => (Either i j -> a -> m) -> (f :+: g) a -> m # ifoldr :: (Either i j -> a -> b -> b) -> b -> (f :+: g) a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> (f :+: g) a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> (f :+: g) a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> (f :+: g) a -> b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (i, j) (Compose f g)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => ((i, j) -> a -> m) -> Compose f g a -> m # ifoldMap' :: Monoid m => ((i, j) -> a -> m) -> Compose f g a -> m # ifoldr :: ((i, j) -> a -> b -> b) -> b -> Compose f g a -> b # ifoldl :: ((i, j) -> b -> a -> b) -> b -> Compose f g a -> b # ifoldr' :: ((i, j) -> a -> b -> b) -> b -> Compose f g a -> b # ifoldl' :: ((i, j) -> b -> a -> b) -> b -> Compose f g a -> b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (i, j) (f :.: g)
Instance details Defined in WithIndex Methods ifoldMap :: Monoid m => ((i, j) -> a -> m) -> (f :.: g) a -> m # ifoldMap' :: Monoid m => ((i, j) -> a -> m) -> (f :.: g) a -> m # ifoldr :: ((i, j) -> a -> b -> b) -> b -> (f :.: g) a -> b # ifoldl :: ((i, j) -> b -> a -> b) -> b -> (f :.: g) a -> b # ifoldr' :: ((i, j) -> a -> b -> b) -> b -> (f :.: g) a -> b # ifoldl' :: ((i, j) -> b -> a -> b) -> b -> (f :.: g) a -> b #

class Functor f => FunctorWithIndex i (f :: Type -> Type) | f -> i where #

Minimal complete definition

Nothing

Methods

imap :: (i -> a -> b) -> f a -> f b #

Instances

Instances details

FunctorWithIndex () Identity
Instance details Defined in WithIndex Methods imap :: (() -> a -> b) -> Identity a -> Identity b #
FunctorWithIndex () Par1
Instance details Defined in WithIndex Methods imap :: (() -> a -> b) -> Par1 a -> Par1 b #
FunctorWithIndex () Maybe
Instance details Defined in WithIndex Methods imap :: (() -> a -> b) -> Maybe a -> Maybe b #
FunctorWithIndex Int ZipList
Instance details Defined in WithIndex Methods imap :: (Int -> a -> b) -> ZipList a -> ZipList b #
FunctorWithIndex Int NonEmpty
Instance details Defined in WithIndex Methods imap :: (Int -> a -> b) -> NonEmpty a -> NonEmpty b #
FunctorWithIndex Int IntMap
Instance details Defined in WithIndex Methods imap :: (Int -> a -> b) -> IntMap a -> IntMap b #
FunctorWithIndex Int Seq
Instance details Defined in WithIndex Methods imap :: (Int -> a -> b) -> Seq a -> Seq b #
FunctorWithIndex Int List
Instance details Defined in WithIndex Methods imap :: (Int -> a -> b) -> [a] -> [b] #
FunctorWithIndex Void (Proxy :: Type -> Type)
Instance details Defined in WithIndex Methods imap :: (Void -> a -> b) -> Proxy a -> Proxy b #
FunctorWithIndex Void (U1 :: Type -> Type)
Instance details Defined in WithIndex Methods imap :: (Void -> a -> b) -> U1 a -> U1 b #
FunctorWithIndex Void (V1 :: Type -> Type)
Instance details Defined in WithIndex Methods imap :: (Void -> a -> b) -> V1 a -> V1 b #
Ix i => FunctorWithIndex i (Array i)
Instance details Defined in WithIndex Methods imap :: (i -> a -> b) -> Array i a -> Array i b #
FunctorWithIndex i (Level i)
Instance details Defined in Control.Lens.Internal.Level Methods imap :: (i -> a -> b) -> Level i a -> Level i b #
FunctorWithIndex k (Map k)
Instance details Defined in WithIndex Methods imap :: (k -> a -> b) -> Map k a -> Map k b #
FunctorWithIndex k ((,) k)
Instance details Defined in WithIndex Methods imap :: (k -> a -> b) -> (k, a) -> (k, b) #
FunctorWithIndex Void (Const e :: Type -> Type)
Instance details Defined in WithIndex Methods imap :: (Void -> a -> b) -> Const e a -> Const e b #
FunctorWithIndex Void (Constant e :: Type -> Type)
Instance details Defined in WithIndex Methods imap :: (Void -> a -> b) -> Constant e a -> Constant e b #
FunctorWithIndex Int (V n)
Instance details Defined in Linear.V Methods imap :: (Int -> a -> b) -> V n a -> V n b #
FunctorWithIndex i f => FunctorWithIndex i (Rec1 f)
Instance details Defined in WithIndex Methods imap :: (i -> a -> b) -> Rec1 f a -> Rec1 f b #
FunctorWithIndex i f => FunctorWithIndex i (Backwards f)
Instance details Defined in WithIndex Methods imap :: (i -> a -> b) -> Backwards f a -> Backwards f b #
FunctorWithIndex i m => FunctorWithIndex i (IdentityT m)
Instance details Defined in WithIndex Methods imap :: (i -> a -> b) -> IdentityT m a -> IdentityT m b #
FunctorWithIndex i f => FunctorWithIndex i (Reverse f)
Instance details Defined in WithIndex Methods imap :: (i -> a -> b) -> Reverse f a -> Reverse f b #
FunctorWithIndex Void (K1 i c :: Type -> Type)
Instance details Defined in WithIndex Methods imap :: (Void -> a -> b) -> K1 i c a -> K1 i c b #
FunctorWithIndex i (Magma i t b)
Instance details Defined in Control.Lens.Internal.Magma Methods imap :: (i -> a -> b0) -> Magma i t b a -> Magma i t b b0 #
FunctorWithIndex r ((->) r)
Instance details Defined in WithIndex Methods imap :: (r -> a -> b) -> (r -> a) -> r -> b #
FunctorWithIndex (E Plucker) Plucker
Instance details Defined in Linear.Plucker Methods imap :: (E Plucker -> a -> b) -> Plucker a -> Plucker b #
FunctorWithIndex (E Quaternion) Quaternion
Instance details Defined in Linear.Quaternion Methods imap :: (E Quaternion -> a -> b) -> Quaternion a -> Quaternion b #
FunctorWithIndex (E V0) V0
Instance details Defined in Linear.V0 Methods imap :: (E V0 -> a -> b) -> V0 a -> V0 b #
FunctorWithIndex (E V1) V1
Instance details Defined in Linear.V1 Methods imap :: (E V1 -> a -> b) -> V1 a -> V1 b #
FunctorWithIndex (E V2) V2
Instance details Defined in Linear.V2 Methods imap :: (E V2 -> a -> b) -> V2 a -> V2 b #
FunctorWithIndex (E V3) V3
Instance details Defined in Linear.V3 Methods imap :: (E V3 -> a -> b) -> V3 a -> V3 b #
FunctorWithIndex (E V4) V4
Instance details Defined in Linear.V4 Methods imap :: (E V4 -> a -> b) -> V4 a -> V4 b #
FunctorWithIndex [Int] Tree
Instance details Defined in WithIndex Methods imap :: ([Int] -> a -> b) -> Tree a -> Tree b #
FunctorWithIndex i f => FunctorWithIndex [i] (Cofree f)
Instance details Defined in Control.Comonad.Cofree Methods imap :: ([i] -> a -> b) -> Cofree f a -> Cofree f b #
FunctorWithIndex i f => FunctorWithIndex [i] (Free f)
Instance details Defined in Control.Monad.Free Methods imap :: ([i] -> a -> b) -> Free f a -> Free f b #
FunctorWithIndex i m => FunctorWithIndex (e, i) (ReaderT e m)
Instance details Defined in WithIndex Methods imap :: ((e, i) -> a -> b) -> ReaderT e m a -> ReaderT e m b #
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (Product f g)
Instance details Defined in WithIndex Methods imap :: (Either i j -> a -> b) -> Product f g a -> Product f g b #
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (Sum f g)
Instance details Defined in WithIndex Methods imap :: (Either i j -> a -> b) -> Sum f g a -> Sum f g b #
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (f :*: g)
Instance details Defined in WithIndex Methods imap :: (Either i j -> a -> b) -> (f :: g) a -> (f :: g) b #
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (f :+: g)
Instance details Defined in WithIndex Methods imap :: (Either i j -> a -> b) -> (f :+: g) a -> (f :+: g) b #
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (i, j) (Compose f g)
Instance details Defined in WithIndex Methods imap :: ((i, j) -> a -> b) -> Compose f g a -> Compose f g b #
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (i, j) (f :.: g)
Instance details Defined in WithIndex Methods imap :: ((i, j) -> a -> b) -> (f :.: g) a -> (f :.: g) b #

class Profunctor (p :: Type -> Type -> Type) where Source #

Formally, the class Profunctor represents a profunctor from Hask -> Hask.

Intuitively it is a bifunctor where the first argument is contravariant and the second argument is covariant.

You can define a Profunctor by either defining dimap or by defining both lmap and rmap.

If you supply dimap, you should ensure that:

dimap id id ≡ id

If you supply lmap and rmap, ensure:

lmap id ≡ id
rmap id ≡ id

If you supply both, you should also ensure:

dimap f g ≡ lmap f . rmap g

These ensure by parametricity:

dimap (f . g) (h . i) ≡ dimap g h . dimap f i
lmap (f . g) ≡ lmap g . lmap f
rmap (f . g) ≡ rmap f . rmap g

Minimal complete definition

dimap | lmap, rmap

Methods

dimap :: (a -> b) -> (c -> d) -> p b c -> p a d Source #

Map over both arguments at the same time.

dimap f g ≡ lmap f . rmap g

lmap :: (a -> b) -> p b c -> p a c Source #

Map the first argument contravariantly.

lmap f ≡ dimap f id

rmap :: (b -> c) -> p a b -> p a c Source #

Map the second argument covariantly.

rmap ≡ dimap id

Instances

Instances details

Profunctor Measured
Instance details Defined in Diagrams.Core.Measure Methods dimap :: (a -> b) -> (c -> d) -> Measured b c -> Measured a d Source # lmap :: (a -> b) -> Measured b c -> Measured a c Source # rmap :: (b -> c) -> Measured a b -> Measured a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Measured a b -> Measured a c Source # (.#) :: forall a b c q. Coercible b a => Measured b c -> q a b -> Measured a c Source #
Profunctor ReifiedFold
Instance details Defined in Control.Lens.Reified Methods dimap :: (a -> b) -> (c -> d) -> ReifiedFold b c -> ReifiedFold a d Source # lmap :: (a -> b) -> ReifiedFold b c -> ReifiedFold a c Source # rmap :: (b -> c) -> ReifiedFold a b -> ReifiedFold a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> ReifiedFold a b -> ReifiedFold a c Source # (.#) :: forall a b c q. Coercible b a => ReifiedFold b c -> q a b -> ReifiedFold a c Source #
Profunctor ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods dimap :: (a -> b) -> (c -> d) -> ReifiedGetter b c -> ReifiedGetter a d Source # lmap :: (a -> b) -> ReifiedGetter b c -> ReifiedGetter a c Source # rmap :: (b -> c) -> ReifiedGetter a b -> ReifiedGetter a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> ReifiedGetter a b -> ReifiedGetter a c Source # (.#) :: forall a b c q. Coercible b a => ReifiedGetter b c -> q a b -> ReifiedGetter a c Source #
Monad m => Profunctor (Kleisli m)
Instance details Defined in Data.Profunctor.Unsafe Methods dimap :: (a -> b) -> (c -> d) -> Kleisli m b c -> Kleisli m a d Source # lmap :: (a -> b) -> Kleisli m b c -> Kleisli m a c Source # rmap :: (b -> c) -> Kleisli m a b -> Kleisli m a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Kleisli m a b -> Kleisli m a c Source # (.#) :: forall a b c q. Coercible b a => Kleisli m b c -> q a b -> Kleisli m a c Source #
Functor v => Profunctor (Query v)
Instance details Defined in Diagrams.Core.Query Methods dimap :: (a -> b) -> (c -> d) -> Query v b c -> Query v a d Source # lmap :: (a -> b) -> Query v b c -> Query v a c Source # rmap :: (b -> c) -> Query v a b -> Query v a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Query v a b -> Query v a c Source # (.#) :: forall a b c q. Coercible b a => Query v b c -> q a b -> Query v a c Source #
Profunctor (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods dimap :: (a -> b) -> (c -> d) -> Indexed i b c -> Indexed i a d Source # lmap :: (a -> b) -> Indexed i b c -> Indexed i a c Source # rmap :: (b -> c) -> Indexed i a b -> Indexed i a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Indexed i a b -> Indexed i a c Source # (.#) :: forall a b c q. Coercible b a => Indexed i b c -> q a b -> Indexed i a c Source #
Profunctor (ReifiedIndexedFold i)
Instance details Defined in Control.Lens.Reified Methods dimap :: (a -> b) -> (c -> d) -> ReifiedIndexedFold i b c -> ReifiedIndexedFold i a d Source # lmap :: (a -> b) -> ReifiedIndexedFold i b c -> ReifiedIndexedFold i a c Source # rmap :: (b -> c) -> ReifiedIndexedFold i a b -> ReifiedIndexedFold i a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> ReifiedIndexedFold i a b -> ReifiedIndexedFold i a c Source # (.#) :: forall a b c q. Coercible b a => ReifiedIndexedFold i b c -> q a b -> ReifiedIndexedFold i a c Source #
Profunctor (ReifiedIndexedGetter i)
Instance details Defined in Control.Lens.Reified Methods dimap :: (a -> b) -> (c -> d) -> ReifiedIndexedGetter i b c -> ReifiedIndexedGetter i a d Source # lmap :: (a -> b) -> ReifiedIndexedGetter i b c -> ReifiedIndexedGetter i a c Source # rmap :: (b -> c) -> ReifiedIndexedGetter i a b -> ReifiedIndexedGetter i a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> ReifiedIndexedGetter i a b -> ReifiedIndexedGetter i a c Source # (.#) :: forall a b c q. Coercible b a => ReifiedIndexedGetter i b c -> q a b -> ReifiedIndexedGetter i a c Source #
Profunctor (CopastroSum p)
Instance details Defined in Data.Profunctor.Choice Methods dimap :: (a -> b) -> (c -> d) -> CopastroSum p b c -> CopastroSum p a d Source # lmap :: (a -> b) -> CopastroSum p b c -> CopastroSum p a c Source # rmap :: (b -> c) -> CopastroSum p a b -> CopastroSum p a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> CopastroSum p a b -> CopastroSum p a c Source # (.#) :: forall a b c q. Coercible b a => CopastroSum p b c -> q a b -> CopastroSum p a c Source #
Profunctor (CotambaraSum p)
Instance details Defined in Data.Profunctor.Choice Methods dimap :: (a -> b) -> (c -> d) -> CotambaraSum p b c -> CotambaraSum p a d Source # lmap :: (a -> b) -> CotambaraSum p b c -> CotambaraSum p a c Source # rmap :: (b -> c) -> CotambaraSum p a b -> CotambaraSum p a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> CotambaraSum p a b -> CotambaraSum p a c Source # (.#) :: forall a b c q. Coercible b a => CotambaraSum p b c -> q a b -> CotambaraSum p a c Source #
Profunctor (PastroSum p)
Instance details Defined in Data.Profunctor.Choice Methods dimap :: (a -> b) -> (c -> d) -> PastroSum p b c -> PastroSum p a d Source # lmap :: (a -> b) -> PastroSum p b c -> PastroSum p a c Source # rmap :: (b -> c) -> PastroSum p a b -> PastroSum p a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> PastroSum p a b -> PastroSum p a c Source # (.#) :: forall a b c q. Coercible b a => PastroSum p b c -> q a b -> PastroSum p a c Source #
Profunctor p => Profunctor (TambaraSum p)
Instance details Defined in Data.Profunctor.Choice Methods dimap :: (a -> b) -> (c -> d) -> TambaraSum p b c -> TambaraSum p a d Source # lmap :: (a -> b) -> TambaraSum p b c -> TambaraSum p a c Source # rmap :: (b -> c) -> TambaraSum p a b -> TambaraSum p a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> TambaraSum p a b -> TambaraSum p a c Source # (.#) :: forall a b c q. Coercible b a => TambaraSum p b c -> q a b -> TambaraSum p a c Source #
Profunctor p => Profunctor (Closure p)
Instance details Defined in Data.Profunctor.Closed Methods dimap :: (a -> b) -> (c -> d) -> Closure p b c -> Closure p a d Source # lmap :: (a -> b) -> Closure p b c -> Closure p a c Source # rmap :: (b -> c) -> Closure p a b -> Closure p a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Closure p a b -> Closure p a c Source # (.#) :: forall a b c q. Coercible b a => Closure p b c -> q a b -> Closure p a c Source #
Profunctor (Environment p)
Instance details Defined in Data.Profunctor.Closed Methods dimap :: (a -> b) -> (c -> d) -> Environment p b c -> Environment p a d Source # lmap :: (a -> b) -> Environment p b c -> Environment p a c Source # rmap :: (b -> c) -> Environment p a b -> Environment p a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Environment p a b -> Environment p a c Source # (.#) :: forall a b c q. Coercible b a => Environment p b c -> q a b -> Environment p a c Source #
Profunctor (Copastro p)
Instance details Defined in Data.Profunctor.Strong Methods dimap :: (a -> b) -> (c -> d) -> Copastro p b c -> Copastro p a d Source # lmap :: (a -> b) -> Copastro p b c -> Copastro p a c Source # rmap :: (b -> c) -> Copastro p a b -> Copastro p a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Copastro p a b -> Copastro p a c Source # (.#) :: forall a b c q. Coercible b a => Copastro p b c -> q a b -> Copastro p a c Source #
Profunctor (Cotambara p)
Instance details Defined in Data.Profunctor.Strong Methods dimap :: (a -> b) -> (c -> d) -> Cotambara p b c -> Cotambara p a d Source # lmap :: (a -> b) -> Cotambara p b c -> Cotambara p a c Source # rmap :: (b -> c) -> Cotambara p a b -> Cotambara p a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Cotambara p a b -> Cotambara p a c Source # (.#) :: forall a b c q. Coercible b a => Cotambara p b c -> q a b -> Cotambara p a c Source #
Profunctor (Pastro p)
Instance details Defined in Data.Profunctor.Strong Methods dimap :: (a -> b) -> (c -> d) -> Pastro p b c -> Pastro p a d Source # lmap :: (a -> b) -> Pastro p b c -> Pastro p a c Source # rmap :: (b -> c) -> Pastro p a b -> Pastro p a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Pastro p a b -> Pastro p a c Source # (.#) :: forall a b c q. Coercible b a => Pastro p b c -> q a b -> Pastro p a c Source #
Profunctor p => Profunctor (Tambara p)
Instance details Defined in Data.Profunctor.Strong Methods dimap :: (a -> b) -> (c -> d) -> Tambara p b c -> Tambara p a d Source # lmap :: (a -> b) -> Tambara p b c -> Tambara p a c Source # rmap :: (b -> c) -> Tambara p a b -> Tambara p a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Tambara p a b -> Tambara p a c Source # (.#) :: forall a b c q. Coercible b a => Tambara p b c -> q a b -> Tambara p a c Source #
Profunctor (Tagged :: Type -> Type -> Type)
Instance details Defined in Data.Profunctor.Unsafe Methods dimap :: (a -> b) -> (c -> d) -> Tagged b c -> Tagged a d Source # lmap :: (a -> b) -> Tagged b c -> Tagged a c Source # rmap :: (b -> c) -> Tagged a b -> Tagged a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Tagged a b -> Tagged a c Source # (.#) :: forall a b c q. Coercible b a => Tagged b c -> q a b -> Tagged a c Source #
Functor w => Profunctor (Cokleisli w)
Instance details Defined in Data.Profunctor.Unsafe Methods dimap :: (a -> b) -> (c -> d) -> Cokleisli w b c -> Cokleisli w a d Source # lmap :: (a -> b) -> Cokleisli w b c -> Cokleisli w a c Source # rmap :: (b -> c) -> Cokleisli w a b -> Cokleisli w a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Cokleisli w a b -> Cokleisli w a c Source # (.#) :: forall a b c q. Coercible b a => Cokleisli w b c -> q a b -> Cokleisli w a c Source #
Profunctor (Exchange a b)
Instance details Defined in Control.Lens.Internal.Iso Methods dimap :: (a0 -> b0) -> (c -> d) -> Exchange a b b0 c -> Exchange a b a0 d Source # lmap :: (a0 -> b0) -> Exchange a b b0 c -> Exchange a b a0 c Source # rmap :: (b0 -> c) -> Exchange a b a0 b0 -> Exchange a b a0 c Source # (#.) :: forall a0 b0 c q. Coercible c b0 => q b0 c -> Exchange a b a0 b0 -> Exchange a b a0 c Source # (.#) :: forall a0 b0 c q. Coercible b0 a0 => Exchange a b b0 c -> q a0 b0 -> Exchange a b a0 c Source #
Profunctor (Market a b)
Instance details Defined in Control.Lens.Internal.Prism Methods dimap :: (a0 -> b0) -> (c -> d) -> Market a b b0 c -> Market a b a0 d Source # lmap :: (a0 -> b0) -> Market a b b0 c -> Market a b a0 c Source # rmap :: (b0 -> c) -> Market a b a0 b0 -> Market a b a0 c Source # (#.) :: forall a0 b0 c q. Coercible c b0 => q b0 c -> Market a b a0 b0 -> Market a b a0 c Source # (.#) :: forall a0 b0 c q. Coercible b0 a0 => Market a b b0 c -> q a0 b0 -> Market a b a0 c Source #
Functor f => Profunctor (Costar f)
Instance details Defined in Data.Profunctor.Types Methods dimap :: (a -> b) -> (c -> d) -> Costar f b c -> Costar f a d Source # lmap :: (a -> b) -> Costar f b c -> Costar f a c Source # rmap :: (b -> c) -> Costar f a b -> Costar f a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Costar f a b -> Costar f a c Source # (.#) :: forall a b c q. Coercible b a => Costar f b c -> q a b -> Costar f a c Source #
Profunctor (Forget r :: Type -> Type -> Type)
Instance details Defined in Data.Profunctor.Types Methods dimap :: (a -> b) -> (c -> d) -> Forget r b c -> Forget r a d Source # lmap :: (a -> b) -> Forget r b c -> Forget r a c Source # rmap :: (b -> c) -> Forget r a b -> Forget r a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Forget r a b -> Forget r a c Source # (.#) :: forall a b c q. Coercible b a => Forget r b c -> q a b -> Forget r a c Source #
Functor f => Profunctor (Star f)
Instance details Defined in Data.Profunctor.Types Methods dimap :: (a -> b) -> (c -> d) -> Star f b c -> Star f a d Source # lmap :: (a -> b) -> Star f b c -> Star f a c Source # rmap :: (b -> c) -> Star f a b -> Star f a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Star f a b -> Star f a c Source # (.#) :: forall a b c q. Coercible b a => Star f b c -> q a b -> Star f a c Source #
Profunctor (->)
Instance details Defined in Data.Profunctor.Unsafe Methods dimap :: (a -> b) -> (c -> d) -> (b -> c) -> a -> d Source # lmap :: (a -> b) -> (b -> c) -> a -> c Source # rmap :: (b -> c) -> (a -> b) -> a -> c Source # (#.) :: forall a b c q. Coercible c b => q b c -> (a -> b) -> a -> c Source # (.#) :: forall a b c q. Coercible b a => (b -> c) -> q a b -> a -> c Source #
Contravariant f => Profunctor (Clown f :: Type -> Type -> Type)
Instance details Defined in Data.Profunctor.Unsafe Methods dimap :: (a -> b) -> (c -> d) -> Clown f b c -> Clown f a d Source # lmap :: (a -> b) -> Clown f b c -> Clown f a c Source # rmap :: (b -> c) -> Clown f a b -> Clown f a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Clown f a b -> Clown f a c Source # (.#) :: forall a b c q. Coercible b a => Clown f b c -> q a b -> Clown f a c Source #
Functor f => Profunctor (Joker f :: Type -> Type -> Type)
Instance details Defined in Data.Profunctor.Unsafe Methods dimap :: (a -> b) -> (c -> d) -> Joker f b c -> Joker f a d Source # lmap :: (a -> b) -> Joker f b c -> Joker f a c Source # rmap :: (b -> c) -> Joker f a b -> Joker f a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Joker f a b -> Joker f a c Source # (.#) :: forall a b c q. Coercible b a => Joker f b c -> q a b -> Joker f a c Source #
Arrow p => Profunctor (WrappedArrow p)
Instance details Defined in Data.Profunctor.Types Methods dimap :: (a -> b) -> (c -> d) -> WrappedArrow p b c -> WrappedArrow p a d Source # lmap :: (a -> b) -> WrappedArrow p b c -> WrappedArrow p a c Source # rmap :: (b -> c) -> WrappedArrow p a b -> WrappedArrow p a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> WrappedArrow p a b -> WrappedArrow p a c Source # (.#) :: forall a b c q. Coercible b a => WrappedArrow p b c -> q a b -> WrappedArrow p a c Source #
(Profunctor p, Profunctor q) => Profunctor (Product p q)
Instance details Defined in Data.Profunctor.Unsafe Methods dimap :: (a -> b) -> (c -> d) -> Product p q b c -> Product p q a d Source # lmap :: (a -> b) -> Product p q b c -> Product p q a c Source # rmap :: (b -> c) -> Product p q a b -> Product p q a c Source # (#.) :: forall a b c q0. Coercible c b => q0 b c -> Product p q a b -> Product p q a c Source # (.#) :: forall a b c q0. Coercible b a => Product p q b c -> q0 a b -> Product p q a c Source #
(Profunctor p, Profunctor q) => Profunctor (Sum p q)
Instance details Defined in Data.Profunctor.Unsafe Methods dimap :: (a -> b) -> (c -> d) -> Sum p q b c -> Sum p q a d Source # lmap :: (a -> b) -> Sum p q b c -> Sum p q a c Source # rmap :: (b -> c) -> Sum p q a b -> Sum p q a c Source # (#.) :: forall a b c q0. Coercible c b => q0 b c -> Sum p q a b -> Sum p q a c Source # (.#) :: forall a b c q0. Coercible b a => Sum p q b c -> q0 a b -> Sum p q a c Source #
(Functor f, Profunctor p) => Profunctor (Tannen f p)
Instance details Defined in Data.Profunctor.Unsafe Methods dimap :: (a -> b) -> (c -> d) -> Tannen f p b c -> Tannen f p a d Source # lmap :: (a -> b) -> Tannen f p b c -> Tannen f p a c Source # rmap :: (b -> c) -> Tannen f p a b -> Tannen f p a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Tannen f p a b -> Tannen f p a c Source # (.#) :: forall a b c q. Coercible b a => Tannen f p b c -> q a b -> Tannen f p a c Source #
(Profunctor p, Profunctor q) => Profunctor (Procompose p q)
Instance details Defined in Data.Profunctor.Composition Methods dimap :: (a -> b) -> (c -> d) -> Procompose p q b c -> Procompose p q a d Source # lmap :: (a -> b) -> Procompose p q b c -> Procompose p q a c Source # rmap :: (b -> c) -> Procompose p q a b -> Procompose p q a c Source # (#.) :: forall a b c q0. Coercible c b => q0 b c -> Procompose p q a b -> Procompose p q a c Source # (.#) :: forall a b c q0. Coercible b a => Procompose p q b c -> q0 a b -> Procompose p q a c Source #
(Profunctor p, Profunctor q) => Profunctor (Rift p q)
Instance details Defined in Data.Profunctor.Composition Methods dimap :: (a -> b) -> (c -> d) -> Rift p q b c -> Rift p q a d Source # lmap :: (a -> b) -> Rift p q b c -> Rift p q a c Source # rmap :: (b -> c) -> Rift p q a b -> Rift p q a c Source # (#.) :: forall a b c q0. Coercible c b => q0 b c -> Rift p q a b -> Rift p q a c Source # (.#) :: forall a b c q0. Coercible b a => Rift p q b c -> q0 a b -> Rift p q a c Source #
(Profunctor p, Functor f, Functor g) => Profunctor (Biff p f g)
Instance details Defined in Data.Profunctor.Unsafe Methods dimap :: (a -> b) -> (c -> d) -> Biff p f g b c -> Biff p f g a d Source # lmap :: (a -> b) -> Biff p f g b c -> Biff p f g a c Source # rmap :: (b -> c) -> Biff p f g a b -> Biff p f g a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> Biff p f g a b -> Biff p f g a c Source # (.#) :: forall a b c q. Coercible b a => Biff p f g b c -> q a b -> Biff p f g a c Source #

class Profunctor p => Choice (p :: Type -> Type -> Type) where Source #

The generalization of Costar of Functor that is strong with respect to Either.

Note: This is also a notion of strength, except with regards to another monoidal structure that we can choose to equip Hask with: the cocartesian coproduct.

Minimal complete definition

left' | right'

Methods

left' :: p a b -> p (Either a c) (Either b c) Source #

Laws:

left' ≡ dimap swapE swapE . right' where
  swapE :: Either a b -> Either b a
  swapE = either Right Left
rmap Left ≡ lmap Left . left'
lmap (right f) . left' ≡ rmap (right f) . left'
left' . left' ≡ dimap assocE unassocE . left' where
  assocE :: Either (Either a b) c -> Either a (Either b c)
  assocE (Left (Left a)) = Left a
  assocE (Left (Right b)) = Right (Left b)
  assocE (Right c) = Right (Right c)
  unassocE :: Either a (Either b c) -> Either (Either a b) c
  unassocE (Left a) = Left (Left a)
  unassocE (Right (Left b)) = Left (Right b)
  unassocE (Right (Right c)) = Right c

right' :: p a b -> p (Either c a) (Either c b) Source #

Laws:

right' ≡ dimap swapE swapE . left' where
  swapE :: Either a b -> Either b a
  swapE = either Right Left
rmap Right ≡ lmap Right . right'
lmap (left f) . right' ≡ rmap (left f) . right'
right' . right' ≡ dimap unassocE assocE . right' where
  assocE :: Either (Either a b) c -> Either a (Either b c)
  assocE (Left (Left a)) = Left a
  assocE (Left (Right b)) = Right (Left b)
  assocE (Right c) = Right (Right c)
  unassocE :: Either a (Either b c) -> Either (Either a b) c
  unassocE (Left a) = Left (Left a)
  unassocE (Right (Left b)) = Left (Right b)
  unassocE (Right (Right c)) = Right c

Instances

Instances details

Choice ReifiedFold
Instance details Defined in Control.Lens.Reified Methods left' :: ReifiedFold a b -> ReifiedFold (Either a c) (Either b c) Source # right' :: ReifiedFold a b -> ReifiedFold (Either c a) (Either c b) Source #
Choice ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods left' :: ReifiedGetter a b -> ReifiedGetter (Either a c) (Either b c) Source # right' :: ReifiedGetter a b -> ReifiedGetter (Either c a) (Either c b) Source #
Monad m => Choice (Kleisli m)
Instance details Defined in Data.Profunctor.Choice Methods left' :: Kleisli m a b -> Kleisli m (Either a c) (Either b c) Source # right' :: Kleisli m a b -> Kleisli m (Either c a) (Either c b) Source #
Choice (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods left' :: Indexed i a b -> Indexed i (Either a c) (Either b c) Source # right' :: Indexed i a b -> Indexed i (Either c a) (Either c b) Source #
Choice (PastroSum p)
Instance details Defined in Data.Profunctor.Choice Methods left' :: PastroSum p a b -> PastroSum p (Either a c) (Either b c) Source # right' :: PastroSum p a b -> PastroSum p (Either c a) (Either c b) Source #
Profunctor p => Choice (TambaraSum p)
Instance details Defined in Data.Profunctor.Choice Methods left' :: TambaraSum p a b -> TambaraSum p (Either a c) (Either b c) Source # right' :: TambaraSum p a b -> TambaraSum p (Either c a) (Either c b) Source #
Choice p => Choice (Tambara p)
Instance details Defined in Data.Profunctor.Choice Methods left' :: Tambara p a b -> Tambara p (Either a c) (Either b c) Source # right' :: Tambara p a b -> Tambara p (Either c a) (Either c b) Source #
Choice (Tagged :: Type -> Type -> Type)
Instance details Defined in Data.Profunctor.Choice Methods left' :: Tagged a b -> Tagged (Either a c) (Either b c) Source # right' :: Tagged a b -> Tagged (Either c a) (Either c b) Source #
Comonad w => Choice (Cokleisli w)	`extract` approximates `costrength`
Instance details Defined in Data.Profunctor.Choice Methods left' :: Cokleisli w a b -> Cokleisli w (Either a c) (Either b c) Source # right' :: Cokleisli w a b -> Cokleisli w (Either c a) (Either c b) Source #
Choice (Market a b)
Instance details Defined in Control.Lens.Internal.Prism Methods left' :: Market a b a0 b0 -> Market a b (Either a0 c) (Either b0 c) Source # right' :: Market a b a0 b0 -> Market a b (Either c a0) (Either c b0) Source #
Monoid r => Choice (Forget r :: Type -> Type -> Type)
Instance details Defined in Data.Profunctor.Choice Methods left' :: Forget r a b -> Forget r (Either a c) (Either b c) Source # right' :: Forget r a b -> Forget r (Either c a) (Either c b) Source #
Applicative f => Choice (Star f)
Instance details Defined in Data.Profunctor.Choice Methods left' :: Star f a b -> Star f (Either a c) (Either b c) Source # right' :: Star f a b -> Star f (Either c a) (Either c b) Source #
Choice (->)
Instance details Defined in Data.Profunctor.Choice Methods left' :: (a -> b) -> Either a c -> Either b c Source # right' :: (a -> b) -> Either c a -> Either c b Source #
Functor f => Choice (Joker f :: Type -> Type -> Type)
Instance details Defined in Data.Profunctor.Choice Methods left' :: Joker f a b -> Joker f (Either a c) (Either b c) Source # right' :: Joker f a b -> Joker f (Either c a) (Either c b) Source #
ArrowChoice p => Choice (WrappedArrow p)
Instance details Defined in Data.Profunctor.Choice Methods left' :: WrappedArrow p a b -> WrappedArrow p (Either a c) (Either b c) Source # right' :: WrappedArrow p a b -> WrappedArrow p (Either c a) (Either c b) Source #
(Choice p, Choice q) => Choice (Product p q)
Instance details Defined in Data.Profunctor.Choice Methods left' :: Product p q a b -> Product p q (Either a c) (Either b c) Source # right' :: Product p q a b -> Product p q (Either c a) (Either c b) Source #
(Choice p, Choice q) => Choice (Sum p q)
Instance details Defined in Data.Profunctor.Choice Methods left' :: Sum p q a b -> Sum p q (Either a c) (Either b c) Source # right' :: Sum p q a b -> Sum p q (Either c a) (Either c b) Source #
(Functor f, Choice p) => Choice (Tannen f p)
Instance details Defined in Data.Profunctor.Choice Methods left' :: Tannen f p a b -> Tannen f p (Either a c) (Either b c) Source # right' :: Tannen f p a b -> Tannen f p (Either c a) (Either c b) Source #
(Choice p, Choice q) => Choice (Procompose p q)
Instance details Defined in Data.Profunctor.Composition Methods left' :: Procompose p q a b -> Procompose p q (Either a c) (Either b c) Source # right' :: Procompose p q a b -> Procompose p q (Either c a) (Either c b) Source #

class (Foldable1 t, Traversable t) => Traversable1 (t :: Type -> Type) where #

Minimal complete definition

traverse1 | sequence1

Methods

traverse1 :: Apply f => (a -> f b) -> t a -> f (t b) #

Instances

Instances details

Traversable1 Complex
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> Complex a -> f (Complex b) # sequence1 :: Apply f => Complex (f b) -> f (Complex b)
Traversable1 Identity
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> Identity a -> f (Identity b) # sequence1 :: Apply f => Identity (f b) -> f (Identity b)
Traversable1 First
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> First a -> f (First b) # sequence1 :: Apply f => First (f b) -> f (First b)
Traversable1 Last
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> Last a -> f (Last b) # sequence1 :: Apply f => Last (f b) -> f (Last b)
Traversable1 Max
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> Max a -> f (Max b) # sequence1 :: Apply f => Max (f b) -> f (Max b)
Traversable1 Min
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> Min a -> f (Min b) # sequence1 :: Apply f => Min (f b) -> f (Min b)
Traversable1 Dual
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> Dual a -> f (Dual b) # sequence1 :: Apply f => Dual (f b) -> f (Dual b)
Traversable1 Product
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> Product a -> f (Product b) # sequence1 :: Apply f => Product (f b) -> f (Product b)
Traversable1 Sum
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> Sum a -> f (Sum b) # sequence1 :: Apply f => Sum (f b) -> f (Sum b)
Traversable1 NonEmpty
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> NonEmpty a -> f (NonEmpty b) # sequence1 :: Apply f => NonEmpty (f b) -> f (NonEmpty b)
Traversable1 Par1
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> Par1 a -> f (Par1 b) # sequence1 :: Apply f => Par1 (f b) -> f (Par1 b)
Traversable1 Tree
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> Tree a -> f (Tree b) # sequence1 :: Apply f => Tree (f b) -> f (Tree b)
Traversable1 Plucker
Instance details Defined in Linear.Plucker Methods traverse1 :: Apply f => (a -> f b) -> Plucker a -> f (Plucker b) # sequence1 :: Apply f => Plucker (f b) -> f (Plucker b)
Traversable1 V1
Instance details Defined in Linear.V1 Methods traverse1 :: Apply f => (a -> f b) -> V1 a -> f (V1 b) # sequence1 :: Apply f => V1 (f b) -> f (V1 b)
Traversable1 V2
Instance details Defined in Linear.V2 Methods traverse1 :: Apply f => (a -> f b) -> V2 a -> f (V2 b) # sequence1 :: Apply f => V2 (f b) -> f (V2 b)
Traversable1 V3
Instance details Defined in Linear.V3 Methods traverse1 :: Apply f => (a -> f b) -> V3 a -> f (V3 b) # sequence1 :: Apply f => V3 (f b) -> f (V3 b)
Traversable1 V4
Instance details Defined in Linear.V4 Methods traverse1 :: Apply f => (a -> f b) -> V4 a -> f (V4 b) # sequence1 :: Apply f => V4 (f b) -> f (V4 b)
Traversable1 (V1 :: Type -> Type)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> V1 a -> f (V1 b) # sequence1 :: Apply f => V1 (f b) -> f (V1 b)
Traversable1 f => Traversable1 (Cofree f)
Instance details Defined in Control.Comonad.Cofree Methods traverse1 :: Apply f0 => (a -> f0 b) -> Cofree f a -> f0 (Cofree f b) # sequence1 :: Apply f0 => Cofree f (f0 b) -> f0 (Cofree f b)
Traversable1 f => Traversable1 (Free f)
Instance details Defined in Control.Monad.Free Methods traverse1 :: Apply f0 => (a -> f0 b) -> Free f a -> f0 (Free f b) # sequence1 :: Apply f0 => Free f (f0 b) -> f0 (Free f b)
Traversable1 f => Traversable1 (Yoneda f)
Instance details Defined in Data.Functor.Yoneda Methods traverse1 :: Apply f0 => (a -> f0 b) -> Yoneda f a -> f0 (Yoneda f b) # sequence1 :: Apply f0 => Yoneda f (f0 b) -> f0 (Yoneda f b)
Traversable1 f => Traversable1 (Lift f)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> Lift f a -> f0 (Lift f b) # sequence1 :: Apply f0 => Lift f (f0 b) -> f0 (Lift f b)
Traversable1 ((,) a)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a0 -> f b) -> (a, a0) -> f (a, b) # sequence1 :: Apply f => (a, f b) -> f (a, b)
Traversable1 f => Traversable1 (Alt f)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> Alt f a -> f0 (Alt f b) # sequence1 :: Apply f0 => Alt f (f0 b) -> f0 (Alt f b)
Traversable1 f => Traversable1 (Rec1 f)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> Rec1 f a -> f0 (Rec1 f b) # sequence1 :: Apply f0 => Rec1 f (f0 b) -> f0 (Rec1 f b)
Bitraversable1 p => Traversable1 (Join p)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a -> f b) -> Join p a -> f (Join p b) # sequence1 :: Apply f => Join p (f b) -> f (Join p b)
Traversable1 f => Traversable1 (AlongsideLeft f b)
Instance details Defined in Control.Lens.Internal.Getter Methods traverse1 :: Apply f0 => (a -> f0 b0) -> AlongsideLeft f b a -> f0 (AlongsideLeft f b b0) # sequence1 :: Apply f0 => AlongsideLeft f b (f0 b0) -> f0 (AlongsideLeft f b b0)
Traversable1 f => Traversable1 (AlongsideRight f a)
Instance details Defined in Control.Lens.Internal.Getter Methods traverse1 :: Apply f0 => (a0 -> f0 b) -> AlongsideRight f a a0 -> f0 (AlongsideRight f a b) # sequence1 :: Apply f0 => AlongsideRight f a (f0 b) -> f0 (AlongsideRight f a b)
Traversable1 (Tagged a)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a0 -> f b) -> Tagged a a0 -> f (Tagged a b) # sequence1 :: Apply f => Tagged a (f b) -> f (Tagged a b)
Traversable1 f => Traversable1 (Backwards f)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> Backwards f a -> f0 (Backwards f b) # sequence1 :: Apply f0 => Backwards f (f0 b) -> f0 (Backwards f b)
Traversable1 f => Traversable1 (IdentityT f)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> IdentityT f a -> f0 (IdentityT f b) # sequence1 :: Apply f0 => IdentityT f (f0 b) -> f0 (IdentityT f b)
Traversable1 f => Traversable1 (Reverse f)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> Reverse f a -> f0 (Reverse f b) # sequence1 :: Apply f0 => Reverse f (f0 b) -> f0 (Reverse f b)
(Traversable1 f, Traversable1 g) => Traversable1 (Product f g)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> Product f g a -> f0 (Product f g b) # sequence1 :: Apply f0 => Product f g (f0 b) -> f0 (Product f g b)
(Traversable1 f, Traversable1 g) => Traversable1 (Sum f g)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> Sum f g a -> f0 (Sum f g b) # sequence1 :: Apply f0 => Sum f g (f0 b) -> f0 (Sum f g b)
(Traversable1 f, Traversable1 g) => Traversable1 (f :*: g)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> (f :: g) a -> f0 ((f :: g) b) # sequence1 :: Apply f0 => (f :: g) (f0 b) -> f0 ((f :: g) b)
(Traversable1 f, Traversable1 g) => Traversable1 (f :+: g)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) # sequence1 :: Apply f0 => (f :+: g) (f0 b) -> f0 ((f :+: g) b)
(Traversable1 f, Traversable1 g) => Traversable1 (Compose f g)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> Compose f g a -> f0 (Compose f g b) # sequence1 :: Apply f0 => Compose f g (f0 b) -> f0 (Compose f g b)
(Traversable1 f, Traversable1 g) => Traversable1 (f :.: g)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) # sequence1 :: Apply f0 => (f :.: g) (f0 b) -> f0 ((f :.: g) b)
Traversable1 f => Traversable1 (M1 i c f)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b) # sequence1 :: Apply f0 => M1 i c f (f0 b) -> f0 (M1 i c f b)
Traversable1 g => Traversable1 (Joker g a)
Instance details Defined in Data.Semigroup.Traversable.Class Methods traverse1 :: Apply f => (a0 -> f b) -> Joker g a a0 -> f (Joker g a b) # sequence1 :: Apply f => Joker g a (f b) -> f (Joker g a b)

class Reversing t where Source #

This class provides a generalized notion of list reversal extended to other containers.

Methods

reversing :: t -> t Source #

Instances

Instances details

Reversing ByteString
Instance details Defined in Control.Lens.Internal.Iso Methods reversing :: ByteString -> ByteString Source #
Reversing ByteString
Instance details Defined in Control.Lens.Internal.Iso Methods reversing :: ByteString -> ByteString Source #
Reversing Text
Instance details Defined in Control.Lens.Internal.Iso Methods reversing :: Text -> Text Source #
Reversing Text
Instance details Defined in Control.Lens.Internal.Iso Methods reversing :: Text -> Text Source #
Reversing (NonEmpty a)
Instance details Defined in Control.Lens.Internal.Iso Methods reversing :: NonEmpty a -> NonEmpty a Source #
Reversing (Seq a)
Instance details Defined in Control.Lens.Internal.Iso Methods reversing :: Seq a -> Seq a Source #
(Metric v, OrderedField n) => Reversing (Located (Trail v n)) Source #	Same as `reverseLocTrail`.
Instance details Defined in Diagrams.Trail Methods reversing :: Located (Trail v n) -> Located (Trail v n) Source #
(Metric v, OrderedField n) => Reversing (Located (Trail' l v n)) Source #	Same as `reverseLocLine` or `reverseLocLoop`.
Instance details Defined in Diagrams.Trail Methods reversing :: Located (Trail' l v n) -> Located (Trail' l v n) Source #
Reversing (Vector a)
Instance details Defined in Control.Lens.Internal.Iso Methods reversing :: Vector a -> Vector a Source #
Prim a => Reversing (Vector a)
Instance details Defined in Control.Lens.Internal.Iso Methods reversing :: Vector a -> Vector a Source #
Storable a => Reversing (Vector a)
Instance details Defined in Control.Lens.Internal.Iso Methods reversing :: Vector a -> Vector a Source #
Unbox a => Reversing (Vector a)
Instance details Defined in Control.Lens.Internal.Iso Methods reversing :: Vector a -> Vector a Source #
Reversing [a]
Instance details Defined in Control.Lens.Internal.Iso Methods reversing :: [a] -> [a] Source #
(Metric v, OrderedField n) => Reversing (Path v n) Source #	Same as `reversePath`.
Instance details Defined in Diagrams.Path Methods reversing :: Path v n -> Path v n Source #
Reversing (FixedSegment v n) Source #	Reverses the control points.
Instance details Defined in Diagrams.Segment Methods reversing :: FixedSegment v n -> FixedSegment v n Source #
(Metric v, OrderedField n) => Reversing (Trail v n) Source #	Same as `reverseTrail`.
Instance details Defined in Diagrams.Trail Methods reversing :: Trail v n -> Trail v n Source #
(Additive v, Num n) => Reversing (Offset c v n) Source #	Reverses the direction of closed offsets.
Instance details Defined in Diagrams.Segment Methods reversing :: Offset c v n -> Offset c v n Source #
(Additive v, Num n) => Reversing (Segment Closed v n) Source #	Reverse the direction of a segment.
Instance details Defined in Diagrams.Segment Methods reversing :: Segment Closed v n -> Segment Closed v n Source #
(Metric v, OrderedField n) => Reversing (Trail' l v n) Source #	Same as `reverseLine` or `reverseLoop`.
Instance details Defined in Diagrams.Trail Methods reversing :: Trail' l v n -> Trail' l v n Source #

data Level i a Source #

This data type represents a path-compressed copy of one level of a source data structure. We can safely use path-compression because we know the depth of the tree.

Path compression is performed by viewing a Level as a PATRICIA trie of the paths into the structure to leaves at a given depth, similar in many ways to a IntMap, but unlike a regular PATRICIA trie we do not need to store the mask bits merely the depth of the fork.

One invariant of this structure is that underneath a Two node you will not find any Zero nodes, so Zero can only occur at the root.

Instances

Instances details

FoldableWithIndex i (Level i)
Instance details Defined in Control.Lens.Internal.Level Methods ifoldMap :: Monoid m => (i -> a -> m) -> Level i a -> m # ifoldMap' :: Monoid m => (i -> a -> m) -> Level i a -> m # ifoldr :: (i -> a -> b -> b) -> b -> Level i a -> b # ifoldl :: (i -> b -> a -> b) -> b -> Level i a -> b # ifoldr' :: (i -> a -> b -> b) -> b -> Level i a -> b # ifoldl' :: (i -> b -> a -> b) -> b -> Level i a -> b #
FunctorWithIndex i (Level i)
Instance details Defined in Control.Lens.Internal.Level Methods imap :: (i -> a -> b) -> Level i a -> Level i b #
TraversableWithIndex i (Level i)
Instance details Defined in Control.Lens.Internal.Level Methods itraverse :: Applicative f => (i -> a -> f b) -> Level i a -> f (Level i b) #
Foldable (Level i)
Instance details Defined in Control.Lens.Internal.Level Methods fold :: Monoid m => Level i m -> m Source # foldMap :: Monoid m => (a -> m) -> Level i a -> m Source # foldMap' :: Monoid m => (a -> m) -> Level i a -> m Source # foldr :: (a -> b -> b) -> b -> Level i a -> b Source # foldr' :: (a -> b -> b) -> b -> Level i a -> b Source # foldl :: (b -> a -> b) -> b -> Level i a -> b Source # foldl' :: (b -> a -> b) -> b -> Level i a -> b Source # foldr1 :: (a -> a -> a) -> Level i a -> a Source # foldl1 :: (a -> a -> a) -> Level i a -> a Source # toList :: Level i a -> [a] Source # null :: Level i a -> Bool Source # length :: Level i a -> Int Source # elem :: Eq a => a -> Level i a -> Bool Source # maximum :: Ord a => Level i a -> a Source # minimum :: Ord a => Level i a -> a Source # sum :: Num a => Level i a -> a Source # product :: Num a => Level i a -> a Source #
Traversable (Level i)
Instance details Defined in Control.Lens.Internal.Level Methods traverse :: Applicative f => (a -> f b) -> Level i a -> f (Level i b) Source # sequenceA :: Applicative f => Level i (f a) -> f (Level i a) Source # mapM :: Monad m => (a -> m b) -> Level i a -> m (Level i b) Source # sequence :: Monad m => Level i (m a) -> m (Level i a) Source #
Functor (Level i)
Instance details Defined in Control.Lens.Internal.Level Methods fmap :: (a -> b) -> Level i a -> Level i b Source # (<$) :: a -> Level i b -> Level i a Source #
(Read i, Read a) => Read (Level i a)
Instance details Defined in Control.Lens.Internal.Level Methods readsPrec :: Int -> ReadS (Level i a) Source # readList :: ReadS [Level i a] Source # readPrec :: ReadPrec (Level i a) Source # readListPrec :: ReadPrec [Level i a] Source #
(Show i, Show a) => Show (Level i a)
Instance details Defined in Control.Lens.Internal.Level Methods showsPrec :: Int -> Level i a -> ShowS Source # show :: Level i a -> String Source # showList :: [Level i a] -> ShowS Source #
(Eq i, Eq a) => Eq (Level i a)
Instance details Defined in Control.Lens.Internal.Level Methods (==) :: Level i a -> Level i a -> Bool Source # (/=) :: Level i a -> Level i a -> Bool Source #
(Ord i, Ord a) => Ord (Level i a)
Instance details Defined in Control.Lens.Internal.Level Methods compare :: Level i a -> Level i a -> Ordering Source # (<) :: Level i a -> Level i a -> Bool Source # (<=) :: Level i a -> Level i a -> Bool Source # (>) :: Level i a -> Level i a -> Bool Source # (>=) :: Level i a -> Level i a -> Bool Source # max :: Level i a -> Level i a -> Level i a Source # min :: Level i a -> Level i a -> Level i a Source #

class Conjoined p => Indexable i (p :: Type -> Type -> Type) Source #

This class permits overloading of function application for things that also admit a notion of a key or index.

Minimal complete definition

indexed

Instances

Instances details

i ~ j => Indexable i (Indexed j)
Instance details Defined in Control.Lens.Internal.Indexed Methods indexed :: Indexed j a b -> i -> a -> b Source #
Indexable i (->)
Instance details Defined in Control.Lens.Internal.Indexed Methods indexed :: (a -> b) -> i -> a -> b Source #

class (Choice p, Corepresentable p, Comonad (Corep p), Traversable (Corep p), Strong p, Representable p, Monad (Rep p), MonadFix (Rep p), Distributive (Rep p), Costrong p, ArrowLoop p, ArrowApply p, ArrowChoice p, Closed p) => Conjoined (p :: Type -> Type -> Type) where Source #

This is a Profunctor that is both Corepresentable by f and Representable by g such that f is left adjoint to g. From this you can derive a lot of structure due to the preservation of limits and colimits.

Minimal complete definition

Nothing

Methods

distrib :: Functor f => p a b -> p (f a) (f b) Source #

Conjoined is strong enough to let us distribute every Conjoined Profunctor over every Haskell Functor. This is effectively a generalization of fmap.

conjoined :: (p ~ (->) => q (a -> b) r) -> q (p a b) r -> q (p a b) r Source #

This permits us to make a decision at an outermost point about whether or not we use an index.

Ideally any use of this function should be done in such a way so that you compute the same answer, but this cannot be enforced at the type level.

Instances

Instances details

Conjoined ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods distrib :: Functor f => ReifiedGetter a b -> ReifiedGetter (f a) (f b) Source # conjoined :: (ReifiedGetter ~ (->) => q (a -> b) r) -> q (ReifiedGetter a b) r -> q (ReifiedGetter a b) r Source #
Conjoined (Indexed i)
Instance details Defined in Control.Lens.Internal.Indexed Methods distrib :: Functor f => Indexed i a b -> Indexed i (f a) (f b) Source # conjoined :: (Indexed i ~ (->) => q (a -> b) r) -> q (Indexed i a b) r -> q (Indexed i a b) r Source #
Conjoined (->)
Instance details Defined in Control.Lens.Internal.Indexed Methods distrib :: Functor f => (a -> b) -> f a -> f b Source # conjoined :: ((->) ~ (->) => q (a -> b) r) -> q (a -> b) r -> q (a -> b) r Source #

data Rightmost a Source #

Used for lastOf.

Instances

Instances details

Monoid (Rightmost a)
Instance details Defined in Control.Lens.Internal.Fold Methods mempty :: Rightmost a Source # mappend :: Rightmost a -> Rightmost a -> Rightmost a Source # mconcat :: [Rightmost a] -> Rightmost a Source #
Semigroup (Rightmost a)
Instance details Defined in Control.Lens.Internal.Fold Methods (<>) :: Rightmost a -> Rightmost a -> Rightmost a Source # sconcat :: NonEmpty (Rightmost a) -> Rightmost a Source # stimes :: Integral b => b -> Rightmost a -> Rightmost a Source #

data Leftmost a Source #

Used for firstOf.

Instances

Instances details

Monoid (Leftmost a)
Instance details Defined in Control.Lens.Internal.Fold Methods mempty :: Leftmost a Source # mappend :: Leftmost a -> Leftmost a -> Leftmost a Source # mconcat :: [Leftmost a] -> Leftmost a Source #
Semigroup (Leftmost a)
Instance details Defined in Control.Lens.Internal.Fold Methods (<>) :: Leftmost a -> Leftmost a -> Leftmost a Source # sconcat :: NonEmpty (Leftmost a) -> Leftmost a Source # stimes :: Integral b => b -> Leftmost a -> Leftmost a Source #

data Sequenced a (m :: Type -> Type) Source #

Used internally by mapM_ and the like.

The argument a of the result should not be used!

See 4.16 Changelog entry for the explanation of "why not Apply f =>"?

Instances

Instances details

Monad m => Monoid (Sequenced a m)
Instance details Defined in Control.Lens.Internal.Fold Methods mempty :: Sequenced a m Source # mappend :: Sequenced a m -> Sequenced a m -> Sequenced a m Source # mconcat :: [Sequenced a m] -> Sequenced a m Source #
Monad m => Semigroup (Sequenced a m)
Instance details Defined in Control.Lens.Internal.Fold Methods (<>) :: Sequenced a m -> Sequenced a m -> Sequenced a m Source # sconcat :: NonEmpty (Sequenced a m) -> Sequenced a m Source # stimes :: Integral b => b -> Sequenced a m -> Sequenced a m Source #

data Traversed a (f :: Type -> Type) Source #

Used internally by traverseOf_ and the like.

The argument a of the result should not be used!

Instances

Instances details

Applicative f => Monoid (Traversed a f)
Instance details Defined in Control.Lens.Internal.Fold Methods mempty :: Traversed a f Source # mappend :: Traversed a f -> Traversed a f -> Traversed a f Source # mconcat :: [Traversed a f] -> Traversed a f Source #
Applicative f => Semigroup (Traversed a f)
Instance details Defined in Control.Lens.Internal.Fold Methods (<>) :: Traversed a f -> Traversed a f -> Traversed a f Source # sconcat :: NonEmpty (Traversed a f) -> Traversed a f Source # stimes :: Integral b => b -> Traversed a f -> Traversed a f Source #

type Context' a = Context a a Source #

type Context' a s = Context a a s

data Context a b t Source #

The indexed store can be used to characterize a Lens and is used by cloneLens.

Context a b t is isomorphic to newtype Context a b t = Context { runContext :: forall f. Functor f => (a -> f b) -> f t }, and to exists s. (s, Lens s t a b).

A Context is like a Lens that has already been applied to a some structure.

Constructors

Context (b -> t) a

Instances

Instances details

IndexedComonad Context
Instance details Defined in Control.Lens.Internal.Context Methods iextract :: Context a a t -> t Source # iduplicate :: Context a c t -> Context a b (Context b c t) Source # iextend :: (Context b c t -> r) -> Context a c t -> Context a b r Source #
IndexedComonadStore Context
Instance details Defined in Control.Lens.Internal.Context Methods ipos :: Context a c t -> a Source # ipeek :: c -> Context a c t -> t Source # ipeeks :: (a -> c) -> Context a c t -> t Source # iseek :: b -> Context a c t -> Context b c t Source # iseeks :: (a -> b) -> Context a c t -> Context b c t Source # iexperiment :: Functor f => (b -> f c) -> Context b c t -> f t Source # context :: Context a b t -> Context a b t Source #
IndexedFunctor Context
Instance details Defined in Control.Lens.Internal.Context Methods ifmap :: (s -> t) -> Context a b s -> Context a b t Source #
a ~ b => ComonadStore a (Context a b)
Instance details Defined in Control.Lens.Internal.Context Methods pos :: Context a b a0 -> a # peek :: a -> Context a b a0 -> a0 # peeks :: (a -> a) -> Context a b a0 -> a0 # seek :: a -> Context a b a0 -> Context a b a0 # seeks :: (a -> a) -> Context a b a0 -> Context a b a0 # experiment :: Functor f => (a -> f a) -> Context a b a0 -> f a0 #
Functor (Context a b)
Instance details Defined in Control.Lens.Internal.Context Methods fmap :: (a0 -> b0) -> Context a b a0 -> Context a b b0 Source # (<$) :: a0 -> Context a b b0 -> Context a b a0 Source #
a ~ b => Comonad (Context a b)
Instance details Defined in Control.Lens.Internal.Context Methods extract :: Context a b a0 -> a0 duplicate :: Context a b a0 -> Context a b (Context a b a0) extend :: (Context a b a0 -> b0) -> Context a b a0 -> Context a b b0
Sellable (->) Context
Instance details Defined in Control.Lens.Internal.Context Methods sell :: a -> Context a b b Source #

type Bazaar1' (p :: Type -> Type -> Type) a = Bazaar1 p a a Source #

This alias is helpful when it comes to reducing repetition in type signatures.

type Bazaar1' p a t = Bazaar1 p a a t

newtype Bazaar1 (p :: Type -> Type -> Type) a b t Source #

This is used to characterize a Traversal.

a.k.a. indexed Cartesian store comonad, indexed Kleene store comonad, or an indexed FunList.

http://twanvl.nl/blog/haskell/non-regular1

A Bazaar1 is like a Traversal that has already been applied to some structure.

Where a Context a b t holds an a and a function from b to t, a Bazaar1 a b t holds N as and a function from N bs to t, (where N might be infinite).

Mnemonically, a Bazaar1 holds many stores and you can easily add more.

This is a final encoding of Bazaar1.

Constructors

Bazaar1
Fields runBazaar1 :: forall (f :: Type -> Type). Apply f => p a (f b) -> f t

Instances

Instances details

Profunctor p => Bizarre1 p (Bazaar1 p)
Instance details Defined in Control.Lens.Internal.Bazaar Methods bazaar1 :: Apply f => p a (f b) -> Bazaar1 p a b t -> f t Source #
Corepresentable p => Sellable p (Bazaar1 p)
Instance details Defined in Control.Lens.Internal.Bazaar Methods sell :: p a (Bazaar1 p a b b) Source #
Conjoined p => IndexedComonad (Bazaar1 p)
Instance details Defined in Control.Lens.Internal.Bazaar Methods iextract :: Bazaar1 p a a t -> t Source # iduplicate :: Bazaar1 p a c t -> Bazaar1 p a b (Bazaar1 p b c t) Source # iextend :: (Bazaar1 p b c t -> r) -> Bazaar1 p a c t -> Bazaar1 p a b r Source #
IndexedFunctor (Bazaar1 p)
Instance details Defined in Control.Lens.Internal.Bazaar Methods ifmap :: (s -> t) -> Bazaar1 p a b s -> Bazaar1 p a b t Source #
Functor (Bazaar1 p a b)
Instance details Defined in Control.Lens.Internal.Bazaar Methods fmap :: (a0 -> b0) -> Bazaar1 p a b a0 -> Bazaar1 p a b b0 Source # (<$) :: a0 -> Bazaar1 p a b b0 -> Bazaar1 p a b a0 Source #
(a ~ b, Conjoined p) => Comonad (Bazaar1 p a b)
Instance details Defined in Control.Lens.Internal.Bazaar Methods extract :: Bazaar1 p a b a0 -> a0 duplicate :: Bazaar1 p a b a0 -> Bazaar1 p a b (Bazaar1 p a b a0) extend :: (Bazaar1 p a b a0 -> b0) -> Bazaar1 p a b a0 -> Bazaar1 p a b b0
(a ~ b, Conjoined p) => ComonadApply (Bazaar1 p a b)
Instance details Defined in Control.Lens.Internal.Bazaar Methods (<@>) :: Bazaar1 p a b (a0 -> b0) -> Bazaar1 p a b a0 -> Bazaar1 p a b b0 (@>) :: Bazaar1 p a b a0 -> Bazaar1 p a b b0 -> Bazaar1 p a b b0 (<@) :: Bazaar1 p a b a0 -> Bazaar1 p a b b0 -> Bazaar1 p a b a0
Apply (Bazaar1 p a b)
Instance details Defined in Control.Lens.Internal.Bazaar Methods (<.>) :: Bazaar1 p a b (a0 -> b0) -> Bazaar1 p a b a0 -> Bazaar1 p a b b0 (.>) :: Bazaar1 p a b a0 -> Bazaar1 p a b b0 -> Bazaar1 p a b b0 (<.) :: Bazaar1 p a b a0 -> Bazaar1 p a b b0 -> Bazaar1 p a b a0 liftF2 :: (a0 -> b0 -> c) -> Bazaar1 p a b a0 -> Bazaar1 p a b b0 -> Bazaar1 p a b c

type Bazaar' (p :: Type -> Type -> Type) a = Bazaar p a a Source #

This alias is helpful when it comes to reducing repetition in type signatures.

type Bazaar' p a t = Bazaar p a a t

data Magma i t b a Source #

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

Instances

Instances details

FoldableWithIndex i (Magma i t b)
Instance details Defined in Control.Lens.Internal.Magma Methods ifoldMap :: Monoid m => (i -> a -> m) -> Magma i t b a -> m # ifoldMap' :: Monoid m => (i -> a -> m) -> Magma i t b a -> m # ifoldr :: (i -> a -> b0 -> b0) -> b0 -> Magma i t b a -> b0 # ifoldl :: (i -> b0 -> a -> b0) -> b0 -> Magma i t b a -> b0 # ifoldr' :: (i -> a -> b0 -> b0) -> b0 -> Magma i t b a -> b0 # ifoldl' :: (i -> b0 -> a -> b0) -> b0 -> Magma i t b a -> b0 #
FunctorWithIndex i (Magma i t b)
Instance details Defined in Control.Lens.Internal.Magma Methods imap :: (i -> a -> b0) -> Magma i t b a -> Magma i t b b0 #
TraversableWithIndex i (Magma i t b)
Instance details Defined in Control.Lens.Internal.Magma Methods itraverse :: Applicative f => (i -> a -> f b0) -> Magma i t b a -> f (Magma i t b b0) #
Foldable (Magma i t b)
Instance details Defined in Control.Lens.Internal.Magma Methods fold :: Monoid m => Magma i t b m -> m Source # foldMap :: Monoid m => (a -> m) -> Magma i t b a -> m Source # foldMap' :: Monoid m => (a -> m) -> Magma i t b a -> m Source # foldr :: (a -> b0 -> b0) -> b0 -> Magma i t b a -> b0 Source # foldr' :: (a -> b0 -> b0) -> b0 -> Magma i t b a -> b0 Source # foldl :: (b0 -> a -> b0) -> b0 -> Magma i t b a -> b0 Source # foldl' :: (b0 -> a -> b0) -> b0 -> Magma i t b a -> b0 Source # foldr1 :: (a -> a -> a) -> Magma i t b a -> a Source # foldl1 :: (a -> a -> a) -> Magma i t b a -> a Source # toList :: Magma i t b a -> [a] Source # null :: Magma i t b a -> Bool Source # length :: Magma i t b a -> Int Source # elem :: Eq a => a -> Magma i t b a -> Bool Source # maximum :: Ord a => Magma i t b a -> a Source # minimum :: Ord a => Magma i t b a -> a Source # sum :: Num a => Magma i t b a -> a Source # product :: Num a => Magma i t b a -> a Source #
Traversable (Magma i t b)
Instance details Defined in Control.Lens.Internal.Magma Methods traverse :: Applicative f => (a -> f b0) -> Magma i t b a -> f (Magma i t b b0) Source # sequenceA :: Applicative f => Magma i t b (f a) -> f (Magma i t b a) Source # mapM :: Monad m => (a -> m b0) -> Magma i t b a -> m (Magma i t b b0) Source # sequence :: Monad m => Magma i t b (m a) -> m (Magma i t b a) Source #
Functor (Magma i t b)
Instance details Defined in Control.Lens.Internal.Magma Methods fmap :: (a -> b0) -> Magma i t b a -> Magma i t b b0 Source # (<$) :: a -> Magma i t b b0 -> Magma i t b a Source #
(Show i, Show a) => Show (Magma i t b a)
Instance details Defined in Control.Lens.Internal.Magma Methods showsPrec :: Int -> Magma i t b a -> ShowS Source # show :: Magma i t b a -> String Source # showList :: [Magma i t b a] -> ShowS Source #

class (Profunctor p, Bifunctor p) => Reviewable (p :: Type -> Type -> Type) Source #

This class is provided mostly for backwards compatibility with lens 3.8, but it can also shorten type signatures.

Instances

Instances details

(Profunctor p, Bifunctor p) => Reviewable p
Instance details Defined in Control.Lens.Internal.Review

class (Applicative f, Distributive f, Traversable f) => Settable (f :: Type -> Type) Source #

Anything Settable must be isomorphic to the Identity Functor.

Minimal complete definition

untainted

Instances

Instances details

Settable Identity	So you can pass our `Setter` into combinators from other lens libraries.
Instance details Defined in Control.Lens.Internal.Setter Methods untainted :: Identity a -> a Source # untaintedDot :: Profunctor p => p a (Identity b) -> p a b Source # taintedDot :: Profunctor p => p a b -> p a (Identity b) Source #
Settable f => Settable (Backwards f)	`backwards`
Instance details Defined in Control.Lens.Internal.Setter Methods untainted :: Backwards f a -> a Source # untaintedDot :: Profunctor p => p a (Backwards f b) -> p a b Source # taintedDot :: Profunctor p => p a b -> p a (Backwards f b) Source #
(Settable f, Settable g) => Settable (Compose f g)
Instance details Defined in Control.Lens.Internal.Setter Methods untainted :: Compose f g a -> a Source # untaintedDot :: Profunctor p => p a (Compose f g b) -> p a b Source # taintedDot :: Profunctor p => p a b -> p a (Compose f g b) Source #

type Over' (p :: Type -> Type -> Type) (f :: Type -> Type) s a = Over p f s s a a Source #

This is a convenient alias for use when you need to consume either indexed or non-indexed lens-likes based on context.

type Over' p f = Simple (Over p f)

type IndexedLensLike' i (f :: Type -> Type) s a = IndexedLensLike i f s s a a Source #

Convenient alias for constructing simple indexed lenses and their ilk.

type IndexedLensLike i (f :: k -> Type) s (t :: k) a (b :: k) = forall (p :: Type -> Type -> Type). Indexable i p => p a (f b) -> s -> f t Source #

Convenient alias for constructing indexed lenses and their ilk.

type LensLike' (f :: Type -> Type) s a = LensLike f s s a a Source #

type LensLike' f = Simple (LensLike f)

type Optical' (p :: k -> k1 -> Type) (q :: k -> k1 -> Type) (f :: k -> k1) (s :: k) (a :: k) = Optical p q f s s a a Source #

type Optical' p q f s a = Simple (Optical p q f) s a

type Optical (p :: k -> k1 -> Type) (q :: k2 -> k1 -> Type) (f :: k3 -> k1) (s :: k2) (t :: k3) (a :: k) (b :: k3) = p a (f b) -> q s (f t) Source #

type LensLike f s t a b = Optical (->) (->) f s t a b

type Over p f s t a b = Optical p (->) f s t a b

type Optic p f s t a b = Optical p p f s t a b

type Optic' (p :: k -> k1 -> Type) (f :: k -> k1) (s :: k) (a :: k) = Optic p f s s a a Source #

type Optic' p f s a = Simple (Optic p f) s a

type Optic (p :: k -> k1 -> Type) (f :: k2 -> k1) (s :: k) (t :: k2) (a :: k) (b :: k2) = p a (f b) -> p s (f t) Source #

A valid Optic l should satisfy the laws:

l pure ≡ pure
l (Procompose f g) = Procompose (l f) (l g)

This gives rise to the laws for Equality, Iso, Prism, Lens, Traversal, Traversal1, Setter, Fold, Fold1, and Getter as well along with their index-preserving variants.

type LensLike f s t a b = Optic (->) f s t a b

type IndexPreservingFold1 s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Contravariant f, Apply f) => p a (f a) -> p s (f s) Source #

type IndexedFold1 i s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Indexable i p, Contravariant f, Apply f) => p a (f a) -> s -> f s Source #

type Fold1 s a = forall (f :: Type -> Type). (Contravariant f, Apply f) => (a -> f a) -> s -> f s Source #

A relevant Fold (aka Fold1) has one or more targets.

type IndexPreservingFold s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Contravariant f, Applicative f) => p a (f a) -> p s (f s) Source #

An IndexPreservingFold can be used as a Fold, but when composed with an IndexedTraversal, IndexedFold, or IndexedLens yields an IndexedFold respectively.

type IndexPreservingGetter s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Contravariant f, Functor f) => p a (f a) -> p s (f s) Source #

An IndexPreservingGetter can be used as a Getter, but when composed with an IndexedTraversal, IndexedFold, or IndexedLens yields an IndexedFold, IndexedFold or IndexedGetter respectively.

type As (a :: k2) = Equality' a a Source #

Composable asTypeOf. Useful for constraining excess polymorphism, foo . (id :: As Int) . bar.

type Equality' (s :: k2) (a :: k2) = Equality s s a a Source #

A Simple Equality.

type Equality (s :: k1) (t :: k2) (a :: k1) (b :: k2) = forall k3 (p :: k1 -> k3 -> Type) (f :: k2 -> k3). p a (f b) -> p s (f t) Source #

A witness that (a ~ s, b ~ t).

Note: Composition with an Equality is index-preserving.

type AReview t b = Optic' (Tagged :: Type -> Type -> Type) Identity t b Source #

If you see this in a signature for a function, the function is expecting a Review (in practice, this usually means a Prism).

type Review t b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Choice p, Bifunctor p, Settable f) => Optic' p f t b Source #

This is a limited form of a Prism that can only be used for re operations.

Like with a Getter, there are no laws to state for a Review.

You can generate a Review by using unto. You can also use any Prism or Iso directly as a Review.

type IndexPreservingSetter' s a = IndexPreservingSetter s s a a Source #

type IndexedPreservingSetter' i = Simple IndexedPreservingSetter

type IndexPreservingSetter s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Settable f) => p a (f b) -> p s (f t) Source #

An IndexPreservingSetter can be composed with a IndexedSetter, IndexedTraversal or IndexedLens and leaves the index intact, yielding an IndexedSetter.

type IndexedSetter' i s a = IndexedSetter i s s a a Source #

type IndexedSetter' i = Simple (IndexedSetter i)

type IndexedSetter i s t a b = forall (f :: Type -> Type) (p :: Type -> Type -> Type). (Indexable i p, Settable f) => p a (f b) -> s -> f t Source #

Every IndexedSetter is a valid Setter.

The Setter laws are still required to hold.

type IndexPreservingTraversal1' s a = IndexPreservingTraversal1 s s a a Source #

type IndexPreservingTraversal1 s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Apply f) => p a (f b) -> p s (f t) Source #

type IndexPreservingTraversal' s a = IndexPreservingTraversal s s a a Source #

type IndexPreservingTraversal' = Simple IndexPreservingTraversal

type IndexPreservingTraversal s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Applicative f) => p a (f b) -> p s (f t) Source #

An IndexPreservingTraversal leaves any index it is composed with alone.

type IndexedTraversal1' i s a = IndexedTraversal1 i s s a a Source #

type IndexedTraversal1 i s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Indexable i p, Apply f) => p a (f b) -> s -> f t Source #

type IndexedTraversal' i s a = IndexedTraversal i s s a a Source #

type IndexedTraversal' i = Simple (IndexedTraversal i)

type Traversal1' s a = Traversal1 s s a a Source #

type Traversal1 s t a b = forall (f :: Type -> Type). Apply f => (a -> f b) -> s -> f t Source #

A Traversal which targets at least one element.

Note that since Apply is not a superclass of Applicative, a Traversal1 cannot always be used in place of a Traversal. In such circumstances cloneTraversal will convert a Traversal1 into a Traversal.

type IndexPreservingLens' s a = IndexPreservingLens s s a a Source #

type IndexPreservingLens' = Simple IndexPreservingLens

type IndexPreservingLens s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Conjoined p, Functor f) => p a (f b) -> p s (f t) Source #

An IndexPreservingLens leaves any index it is composed with alone.

type IndexedLens' i s a = IndexedLens i s s a a Source #

type IndexedLens' i = Simple (IndexedLens i)

type Setting' (p :: Type -> Type -> Type) s a = Setting p s s a a Source #

This is a convenient alias when defining highly polymorphic code that takes both ASetter' and AnIndexedSetter' as appropriate. If a function takes this it is expecting one of those two things based on context.

type Setting (p :: Type -> Type -> Type) s t a b = p a (Identity b) -> s -> Identity t Source #

This is a convenient alias when defining highly polymorphic code that takes both ASetter and AnIndexedSetter as appropriate. If a function takes this it is expecting one of those two things based on context.

type AnIndexedSetter' i s a = AnIndexedSetter i s s a a Source #

type AnIndexedSetter' i = Simple (AnIndexedSetter i)

type AnIndexedSetter i s t a b = Indexed i a (Identity b) -> s -> Identity t Source #

Running an IndexedSetter instantiates it to a concrete type.

When consuming a setter directly to perform a mapping, you can use this type, but most user code will not need to use this type.

type ASetter' s a = ASetter s s a a Source #

This is a useful alias for use when consuming a Setter'.

Most user code will never have to use this type.

type ASetter' = Simple ASetter

type ASetter s t a b = (a -> Identity b) -> s -> Identity t Source #

Running a Setter instantiates it to a concrete type.

When consuming a setter directly to perform a mapping, you can use this type, but most user code will not need to use this type.

type AnIndexedLens' i s a = AnIndexedLens i s s a a Source #

type AnIndexedLens' = Simple (AnIndexedLens i)

type AnIndexedLens i s t a b = Optical (Indexed i) (->) (Pretext (Indexed i) a b) s t a b Source #

When you see this as an argument to a function, it expects an IndexedLens

type ALens' s a = ALens s s a a Source #

type ALens' = Simple ALens

type ALens s t a b = LensLike (Pretext (->) a b) s t a b Source #

When you see this as an argument to a function, it expects a Lens.

This type can also be used when you need to store a Lens in a container, since it is rank-1. You can turn them back into a Lens with cloneLens, or use it directly with combinators like storing and (^#).

class Field19 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 19th field of a tuple.

Minimal complete definition

Nothing

Methods

_19 :: Lens s t a b Source #

Access the 19th field of a tuple.

Instances

Instances details

19 <= n => Field19 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _19 :: Lens (V n a) (V n a) a a Source #
Field19 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s') s s'
Instance details Defined in Control.Lens.Tuple Methods _19 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s') s s' Source #

class Field18 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 18th field of a tuple.

Minimal complete definition

Nothing

Methods

_18 :: Lens s t a b Source #

Access the 18th field of a tuple.

Instances

Instances details

18 <= n => Field18 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _18 :: Lens (V n a) (V n a) a a Source #
Field18 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r') r r'
Instance details Defined in Control.Lens.Tuple Methods _18 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r') r r' Source #
Field18 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r', s) r r'
Instance details Defined in Control.Lens.Tuple Methods _18 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r', s) r r' Source #

class Field17 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 17th field of a tuple.

Minimal complete definition

Nothing

Methods

_17 :: Lens s t a b Source #

Access the 17th field of a tuple.

Instances

Instances details

17 <= n => Field17 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _17 :: Lens (V n a) (V n a) a a Source #
Field17 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q') q q'
Instance details Defined in Control.Lens.Tuple Methods _17 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q') q q' Source #
Field17 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q', r) q q'
Instance details Defined in Control.Lens.Tuple Methods _17 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q', r) q q' Source #
Field17 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q', r, s) q q'
Instance details Defined in Control.Lens.Tuple Methods _17 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q', r, s) q q' Source #

class Field16 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 16th field of a tuple.

Minimal complete definition

Nothing

Methods

_16 :: Lens s t a b Source #

Access the 16th field of a tuple.

Instances

Instances details

16 <= n => Field16 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _16 :: Lens (V n a) (V n a) a a Source #
Field16 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p') p p'
Instance details Defined in Control.Lens.Tuple Methods _16 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p') p p' Source #
Field16 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p', q) p p'
Instance details Defined in Control.Lens.Tuple Methods _16 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p', q) p p' Source #
Field16 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p', q, r) p p'
Instance details Defined in Control.Lens.Tuple Methods _16 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p', q, r) p p' Source #
Field16 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p', q, r, s) p p'
Instance details Defined in Control.Lens.Tuple Methods _16 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p', q, r, s) p p' Source #

class Field15 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 15th field of a tuple.

Minimal complete definition

Nothing

Methods

_15 :: Lens s t a b Source #

Access the 15th field of a tuple.

Instances

Instances details

15 <= n => Field15 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _15 :: Lens (V n a) (V n a) a a Source #
Field15 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o') o o'
Instance details Defined in Control.Lens.Tuple Methods _15 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o') o o' Source #
Field15 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o', p) o o'
Instance details Defined in Control.Lens.Tuple Methods _15 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o', p) o o' Source #
Field15 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o', p, q) o o'
Instance details Defined in Control.Lens.Tuple Methods _15 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o', p, q) o o' Source #
Field15 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o', p, q, r) o o'
Instance details Defined in Control.Lens.Tuple Methods _15 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o', p, q, r) o o' Source #
Field15 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o', p, q, r, s) o o'
Instance details Defined in Control.Lens.Tuple Methods _15 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o', p, q, r, s) o o' Source #

class Field14 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 14th field of a tuple.

Minimal complete definition

Nothing

Methods

_14 :: Lens s t a b Source #

Access the 14th field of a tuple.

Instances

Instances details

14 <= n => Field14 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _14 :: Lens (V n a) (V n a) a a Source #
Field14 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n') n n'
Instance details Defined in Control.Lens.Tuple Methods _14 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n') n n' Source #
Field14 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n', o) n n'
Instance details Defined in Control.Lens.Tuple Methods _14 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n', o) n n' Source #
Field14 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n', o, p) n n'
Instance details Defined in Control.Lens.Tuple Methods _14 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n', o, p) n n' Source #
Field14 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n', o, p, q) n n'
Instance details Defined in Control.Lens.Tuple Methods _14 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n', o, p, q) n n' Source #
Field14 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n', o, p, q, r) n n'
Instance details Defined in Control.Lens.Tuple Methods _14 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n', o, p, q, r) n n' Source #
Field14 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n', o, p, q, r, s) n n'
Instance details Defined in Control.Lens.Tuple Methods _14 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m, n', o, p, q, r, s) n n' Source #

class Field13 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 13th field of a tuple.

Minimal complete definition

Nothing

Methods

_13 :: Lens s t a b Source #

Access the 13th field of a tuple.

Instances

Instances details

13 <= n => Field13 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _13 :: Lens (V n a) (V n a) a a Source #
Field13 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g, h, i, j, kk, l, m') m m'
Instance details Defined in Control.Lens.Tuple Methods _13 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g, h, i, j, kk, l, m') m m' Source #
Field13 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h, i, j, kk, l, m', n) m m'
Instance details Defined in Control.Lens.Tuple Methods _13 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h, i, j, kk, l, m', n) m m' Source #
Field13 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i, j, kk, l, m', n, o) m m'
Instance details Defined in Control.Lens.Tuple Methods _13 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i, j, kk, l, m', n, o) m m' Source #
Field13 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j, kk, l, m', n, o, p) m m'
Instance details Defined in Control.Lens.Tuple Methods _13 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j, kk, l, m', n, o, p) m m' Source #
Field13 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk, l, m', n, o, p, q) m m'
Instance details Defined in Control.Lens.Tuple Methods _13 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk, l, m', n, o, p, q) m m' Source #
Field13 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l, m', n, o, p, q, r) m m'
Instance details Defined in Control.Lens.Tuple Methods _13 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l, m', n, o, p, q, r) m m' Source #
Field13 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m', n, o, p, q, r, s) m m'
Instance details Defined in Control.Lens.Tuple Methods _13 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l, m', n, o, p, q, r, s) m m' Source #

class Field12 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 12th field of a tuple.

Minimal complete definition

Nothing

Methods

_12 :: Lens s t a b Source #

Access the 12th field of a tuple.

Instances

Instances details

12 <= n => Field12 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _12 :: Lens (V n a) (V n a) a a Source #
Field12 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f, g, h, i, j, kk, l') l l'
Instance details Defined in Control.Lens.Tuple Methods _12 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f, g, h, i, j, kk, l') l l' Source #
Field12 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g, h, i, j, kk, l', m) l l'
Instance details Defined in Control.Lens.Tuple Methods _12 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g, h, i, j, kk, l', m) l l' Source #
Field12 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h, i, j, kk, l', m, n) l l'
Instance details Defined in Control.Lens.Tuple Methods _12 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h, i, j, kk, l', m, n) l l' Source #
Field12 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i, j, kk, l', m, n, o) l l'
Instance details Defined in Control.Lens.Tuple Methods _12 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i, j, kk, l', m, n, o) l l' Source #
Field12 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j, kk, l', m, n, o, p) l l'
Instance details Defined in Control.Lens.Tuple Methods _12 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j, kk, l', m, n, o, p) l l' Source #
Field12 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk, l', m, n, o, p, q) l l'
Instance details Defined in Control.Lens.Tuple Methods _12 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk, l', m, n, o, p, q) l l' Source #
Field12 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l', m, n, o, p, q, r) l l'
Instance details Defined in Control.Lens.Tuple Methods _12 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk, l', m, n, o, p, q, r) l l' Source #
Field12 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l', m, n, o, p, q, r, s) l l'
Instance details Defined in Control.Lens.Tuple Methods _12 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk, l', m, n, o, p, q, r, s) l l' Source #

class Field11 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 11th field of a tuple.

Minimal complete definition

Nothing

Methods

_11 :: Lens s t a b Source #

Access the 11th field of a tuple.

Instances

Instances details

11 <= n => Field11 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _11 :: Lens (V n a) (V n a) a a Source #
Field11 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f, g, h, i, j, kk') kk kk'
Instance details Defined in Control.Lens.Tuple Methods _11 :: Lens (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f, g, h, i, j, kk') kk kk' Source #
Field11 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f, g, h, i, j, kk', l) kk kk'
Instance details Defined in Control.Lens.Tuple Methods _11 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f, g, h, i, j, kk', l) kk kk' Source #
Field11 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g, h, i, j, kk', l, m) kk kk'
Instance details Defined in Control.Lens.Tuple Methods _11 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g, h, i, j, kk', l, m) kk kk' Source #
Field11 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h, i, j, kk', l, m, n) kk kk'
Instance details Defined in Control.Lens.Tuple Methods _11 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h, i, j, kk', l, m, n) kk kk' Source #
Field11 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i, j, kk', l, m, n, o) kk kk'
Instance details Defined in Control.Lens.Tuple Methods _11 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i, j, kk', l, m, n, o) kk kk' Source #
Field11 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j, kk', l, m, n, o, p) kk kk'
Instance details Defined in Control.Lens.Tuple Methods _11 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j, kk', l, m, n, o, p) kk kk' Source #
Field11 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk', l, m, n, o, p, q) kk kk'
Instance details Defined in Control.Lens.Tuple Methods _11 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j, kk', l, m, n, o, p, q) kk kk' Source #
Field11 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk', l, m, n, o, p, q, r) kk kk'
Instance details Defined in Control.Lens.Tuple Methods _11 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j, kk', l, m, n, o, p, q, r) kk kk' Source #
Field11 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk', l, m, n, o, p, q, r, s) kk kk'
Instance details Defined in Control.Lens.Tuple Methods _11 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j, kk', l, m, n, o, p, q, r, s) kk kk' Source #

class Field10 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 10th field of a tuple.

Minimal complete definition

Nothing

Methods

_10 :: Lens s t a b Source #

Access the 10th field of a tuple.

Instances

Instances details

10 <= n => Field10 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _10 :: Lens (V n a) (V n a) a a Source #
Field10 (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e, f, g, h, i, j') j j'
Instance details Defined in Control.Lens.Tuple Methods _10 :: Lens (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e, f, g, h, i, j') j j' Source #
Field10 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f, g, h, i, j', kk) j j'
Instance details Defined in Control.Lens.Tuple Methods _10 :: Lens (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f, g, h, i, j', kk) j j' Source #
Field10 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f, g, h, i, j', kk, l) j j'
Instance details Defined in Control.Lens.Tuple Methods _10 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f, g, h, i, j', kk, l) j j' Source #
Field10 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g, h, i, j', kk, l, m) j j'
Instance details Defined in Control.Lens.Tuple Methods _10 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g, h, i, j', kk, l, m) j j' Source #
Field10 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h, i, j', kk, l, m, n) j j'
Instance details Defined in Control.Lens.Tuple Methods _10 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h, i, j', kk, l, m, n) j j' Source #
Field10 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i, j', kk, l, m, n, o) j j'
Instance details Defined in Control.Lens.Tuple Methods _10 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i, j', kk, l, m, n, o) j j' Source #
Field10 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j', kk, l, m, n, o, p) j j'
Instance details Defined in Control.Lens.Tuple Methods _10 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i, j', kk, l, m, n, o, p) j j' Source #
Field10 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j', kk, l, m, n, o, p, q) j j'
Instance details Defined in Control.Lens.Tuple Methods _10 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i, j', kk, l, m, n, o, p, q) j j' Source #
Field10 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j', kk, l, m, n, o, p, q, r) j j'
Instance details Defined in Control.Lens.Tuple Methods _10 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i, j', kk, l, m, n, o, p, q, r) j j' Source #
Field10 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j', kk, l, m, n, o, p, q, r, s) j j'
Instance details Defined in Control.Lens.Tuple Methods _10 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i, j', kk, l, m, n, o, p, q, r, s) j j' Source #

class Field9 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 9th field of a tuple.

Minimal complete definition

Nothing

Methods

_9 :: Lens s t a b Source #

Access the 9th field of a tuple.

Instances

Instances details

9 <= n => Field9 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _9 :: Lens (V n a) (V n a) a a Source #
Field9 (a, b, c, d, e, f, g, h, i) (a, b, c, d, e, f, g, h, i') i i'
Instance details Defined in Control.Lens.Tuple Methods _9 :: Lens (a, b, c, d, e, f, g, h, i) (a, b, c, d, e, f, g, h, i') i i' Source #
Field9 (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e, f, g, h, i', j) i i'
Instance details Defined in Control.Lens.Tuple Methods _9 :: Lens (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e, f, g, h, i', j) i i' Source #
Field9 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f, g, h, i', j, kk) i i'
Instance details Defined in Control.Lens.Tuple Methods _9 :: Lens (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f, g, h, i', j, kk) i i' Source #
Field9 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f, g, h, i', j, kk, l) i i'
Instance details Defined in Control.Lens.Tuple Methods _9 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f, g, h, i', j, kk, l) i i' Source #
Field9 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g, h, i', j, kk, l, m) i i'
Instance details Defined in Control.Lens.Tuple Methods _9 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g, h, i', j, kk, l, m) i i' Source #
Field9 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h, i', j, kk, l, m, n) i i'
Instance details Defined in Control.Lens.Tuple Methods _9 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h, i', j, kk, l, m, n) i i' Source #
Field9 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i', j, kk, l, m, n, o) i i'
Instance details Defined in Control.Lens.Tuple Methods _9 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h, i', j, kk, l, m, n, o) i i' Source #
Field9 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i', j, kk, l, m, n, o, p) i i'
Instance details Defined in Control.Lens.Tuple Methods _9 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h, i', j, kk, l, m, n, o, p) i i' Source #
Field9 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i', j, kk, l, m, n, o, p, q) i i'
Instance details Defined in Control.Lens.Tuple Methods _9 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h, i', j, kk, l, m, n, o, p, q) i i' Source #
Field9 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i', j, kk, l, m, n, o, p, q, r) i i'
Instance details Defined in Control.Lens.Tuple Methods _9 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h, i', j, kk, l, m, n, o, p, q, r) i i' Source #
Field9 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i', j, kk, l, m, n, o, p, q, r, s) i i'
Instance details Defined in Control.Lens.Tuple Methods _9 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h, i', j, kk, l, m, n, o, p, q, r, s) i i' Source #

class Field8 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provide access to the 8th field of a tuple.

Minimal complete definition

Nothing

Methods

_8 :: Lens s t a b Source #

Access the 8th field of a tuple.

Instances

Instances details

8 <= n => Field8 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _8 :: Lens (V n a) (V n a) a a Source #
Field8 (a, b, c, d, e, f, g, h) (a, b, c, d, e, f, g, h') h h'
Instance details Defined in Control.Lens.Tuple Methods _8 :: Lens (a, b, c, d, e, f, g, h) (a, b, c, d, e, f, g, h') h h' Source #
Field8 (a, b, c, d, e, f, g, h, i) (a, b, c, d, e, f, g, h', i) h h'
Instance details Defined in Control.Lens.Tuple Methods _8 :: Lens (a, b, c, d, e, f, g, h, i) (a, b, c, d, e, f, g, h', i) h h' Source #
Field8 (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e, f, g, h', i, j) h h'
Instance details Defined in Control.Lens.Tuple Methods _8 :: Lens (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e, f, g, h', i, j) h h' Source #
Field8 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f, g, h', i, j, kk) h h'
Instance details Defined in Control.Lens.Tuple Methods _8 :: Lens (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f, g, h', i, j, kk) h h' Source #
Field8 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f, g, h', i, j, kk, l) h h'
Instance details Defined in Control.Lens.Tuple Methods _8 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f, g, h', i, j, kk, l) h h' Source #
Field8 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g, h', i, j, kk, l, m) h h'
Instance details Defined in Control.Lens.Tuple Methods _8 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g, h', i, j, kk, l, m) h h' Source #
Field8 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h', i, j, kk, l, m, n) h h'
Instance details Defined in Control.Lens.Tuple Methods _8 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g, h', i, j, kk, l, m, n) h h' Source #
Field8 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h', i, j, kk, l, m, n, o) h h'
Instance details Defined in Control.Lens.Tuple Methods _8 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g, h', i, j, kk, l, m, n, o) h h' Source #
Field8 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h', i, j, kk, l, m, n, o, p) h h'
Instance details Defined in Control.Lens.Tuple Methods _8 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g, h', i, j, kk, l, m, n, o, p) h h' Source #
Field8 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h', i, j, kk, l, m, n, o, p, q) h h'
Instance details Defined in Control.Lens.Tuple Methods _8 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g, h', i, j, kk, l, m, n, o, p, q) h h' Source #
Field8 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h', i, j, kk, l, m, n, o, p, q, r) h h'
Instance details Defined in Control.Lens.Tuple Methods _8 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g, h', i, j, kk, l, m, n, o, p, q, r) h h' Source #
Field8 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h', i, j, kk, l, m, n, o, p, q, r, s) h h'
Instance details Defined in Control.Lens.Tuple Methods _8 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g, h', i, j, kk, l, m, n, o, p, q, r, s) h h' Source #

class Field7 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provide access to the 7th field of a tuple.

Minimal complete definition

Nothing

Methods

_7 :: Lens s t a b Source #

Access the 7th field of a tuple.

Instances

Instances details

7 <= n => Field7 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _7 :: Lens (V n a) (V n a) a a Source #
Field7 (a, b, c, d, e, f, g) (a, b, c, d, e, f, g') g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g) (a, b, c, d, e, f, g') g g' Source #
Field7 (a, b, c, d, e, f, g, h) (a, b, c, d, e, f, g', h) g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g, h) (a, b, c, d, e, f, g', h) g g' Source #
Field7 (a, b, c, d, e, f, g, h, i) (a, b, c, d, e, f, g', h, i) g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g, h, i) (a, b, c, d, e, f, g', h, i) g g' Source #
Field7 (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e, f, g', h, i, j) g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e, f, g', h, i, j) g g' Source #
Field7 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f, g', h, i, j, kk) g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f, g', h, i, j, kk) g g' Source #
Field7 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f, g', h, i, j, kk, l) g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f, g', h, i, j, kk, l) g g' Source #
Field7 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g', h, i, j, kk, l, m) g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f, g', h, i, j, kk, l, m) g g' Source #
Field7 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g', h, i, j, kk, l, m, n) g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f, g', h, i, j, kk, l, m, n) g g' Source #
Field7 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g', h, i, j, kk, l, m, n, o) g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f, g', h, i, j, kk, l, m, n, o) g g' Source #
Field7 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g', h, i, j, kk, l, m, n, o, p) g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f, g', h, i, j, kk, l, m, n, o, p) g g' Source #
Field7 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g', h, i, j, kk, l, m, n, o, p, q) g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f, g', h, i, j, kk, l, m, n, o, p, q) g g' Source #
Field7 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g', h, i, j, kk, l, m, n, o, p, q, r) g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f, g', h, i, j, kk, l, m, n, o, p, q, r) g g' Source #
Field7 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g', h, i, j, kk, l, m, n, o, p, q, r, s) g g'
Instance details Defined in Control.Lens.Tuple Methods _7 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f, g', h, i, j, kk, l, m, n, o, p, q, r, s) g g' Source #

class Field6 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 6th element of a tuple.

Minimal complete definition

Nothing

Methods

_6 :: Lens s t a b Source #

Access the 6th field of a tuple.

Instances

Instances details

Field6 (Plucker a) (Plucker a) a a
Instance details Defined in Linear.Plucker Methods _6 :: Lens (Plucker a) (Plucker a) a a Source #
6 <= n => Field6 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _6 :: Lens (V n a) (V n a) a a Source #
Field6 (a, b, c, d, e, f) (a, b, c, d, e, f') f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f) (a, b, c, d, e, f') f f' Source #
Field6 (a, b, c, d, e, f, g) (a, b, c, d, e, f', g) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g) (a, b, c, d, e, f', g) f f' Source #
Field6 (a, b, c, d, e, f, g, h) (a, b, c, d, e, f', g, h) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g, h) (a, b, c, d, e, f', g, h) f f' Source #
Field6 (a, b, c, d, e, f, g, h, i) (a, b, c, d, e, f', g, h, i) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g, h, i) (a, b, c, d, e, f', g, h, i) f f' Source #
Field6 (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e, f', g, h, i, j) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e, f', g, h, i, j) f f' Source #
Field6 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f', g, h, i, j, kk) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f', g, h, i, j, kk) f f' Source #
Field6 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f', g, h, i, j, kk, l) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f', g, h, i, j, kk, l) f f' Source #
Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f', g, h, i, j, kk, l, m) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f', g, h, i, j, kk, l, m) f f' Source #
Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n) f f' Source #
Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o) f f' Source #
Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o, p) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o, p) f f' Source #
Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o, p, q) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o, p, q) f f' Source #
Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o, p, q, r) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o, p, q, r) f f' Source #
Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o, p, q, r, s) f f'
Instance details Defined in Control.Lens.Tuple Methods _6 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o, p, q, r, s) f f' Source #

class Field5 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 5th field of a tuple.

Minimal complete definition

Nothing

Methods

_5 :: Lens s t a b Source #

Access the 5th field of a tuple.

Instances

Instances details

Field5 (Plucker a) (Plucker a) a a
Instance details Defined in Linear.Plucker Methods _5 :: Lens (Plucker a) (Plucker a) a a Source #
5 <= n => Field5 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _5 :: Lens (V n a) (V n a) a a Source #
Field5 (a, b, c, d, e) (a, b, c, d, e') e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e) (a, b, c, d, e') e e' Source #
Field5 (a, b, c, d, e, f) (a, b, c, d, e', f) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f) (a, b, c, d, e', f) e e' Source #
Field5 (a, b, c, d, e, f, g) (a, b, c, d, e', f, g) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g) (a, b, c, d, e', f, g) e e' Source #
Field5 (a, b, c, d, e, f, g, h) (a, b, c, d, e', f, g, h) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g, h) (a, b, c, d, e', f, g, h) e e' Source #
Field5 (a, b, c, d, e, f, g, h, i) (a, b, c, d, e', f, g, h, i) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g, h, i) (a, b, c, d, e', f, g, h, i) e e' Source #
Field5 (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e', f, g, h, i, j) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e', f, g, h, i, j) e e' Source #
Field5 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e', f, g, h, i, j, kk) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e', f, g, h, i, j, kk) e e' Source #
Field5 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e', f, g, h, i, j, kk, l) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e', f, g, h, i, j, kk, l) e e' Source #
Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e', f, g, h, i, j, kk, l, m) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e', f, g, h, i, j, kk, l, m) e e' Source #
Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n) e e' Source #
Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o) e e' Source #
Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o, p) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o, p) e e' Source #
Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o, p, q) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o, p, q) e e' Source #
Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o, p, q, r) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o, p, q, r) e e' Source #
Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o, p, q, r, s) e e'
Instance details Defined in Control.Lens.Tuple Methods _5 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o, p, q, r, s) e e' Source #

class Field4 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provide access to the 4th field of a tuple.

Minimal complete definition

Nothing

Methods

_4 :: Lens s t a b Source #

Access the 4th field of a tuple.

Instances

Instances details

Field4 (Plucker a) (Plucker a) a a
Instance details Defined in Linear.Plucker Methods _4 :: Lens (Plucker a) (Plucker a) a a Source #
Field4 (Quaternion a) (Quaternion a) a a
Instance details Defined in Linear.Quaternion Methods _4 :: Lens (Quaternion a) (Quaternion a) a a Source #
Field4 (V4 a) (V4 a) a a
Instance details Defined in Linear.V4 Methods _4 :: Lens (V4 a) (V4 a) a a Source #
4 <= n => Field4 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _4 :: Lens (V n a) (V n a) a a Source #
Field4 (a, b, c, d) (a, b, c, d') d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d) (a, b, c, d') d d' Source #
Field4 (a, b, c, d, e) (a, b, c, d', e) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e) (a, b, c, d', e) d d' Source #
Field4 (a, b, c, d, e, f) (a, b, c, d', e, f) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f) (a, b, c, d', e, f) d d' Source #
Field4 (a, b, c, d, e, f, g) (a, b, c, d', e, f, g) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g) (a, b, c, d', e, f, g) d d' Source #
Field4 (a, b, c, d, e, f, g, h) (a, b, c, d', e, f, g, h) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g, h) (a, b, c, d', e, f, g, h) d d' Source #
Field4 (a, b, c, d, e, f, g, h, i) (a, b, c, d', e, f, g, h, i) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g, h, i) (a, b, c, d', e, f, g, h, i) d d' Source #
Field4 (a, b, c, d, e, f, g, h, i, j) (a, b, c, d', e, f, g, h, i, j) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g, h, i, j) (a, b, c, d', e, f, g, h, i, j) d d' Source #
Field4 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d', e, f, g, h, i, j, kk) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d', e, f, g, h, i, j, kk) d d' Source #
Field4 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d', e, f, g, h, i, j, kk, l) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d', e, f, g, h, i, j, kk, l) d d' Source #
Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d', e, f, g, h, i, j, kk, l, m) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d', e, f, g, h, i, j, kk, l, m) d d' Source #
Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n) d d' Source #
Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o) d d' Source #
Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o, p) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o, p) d d' Source #
Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o, p, q) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o, p, q) d d' Source #
Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o, p, q, r) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o, p, q, r) d d' Source #
Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) d d'
Instance details Defined in Control.Lens.Tuple Methods _4 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) d d' Source #

class Field3 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 3rd field of a tuple.

Minimal complete definition

Nothing

Methods

_3 :: Lens s t a b Source #

Access the 3rd field of a tuple.

Instances

Instances details

Field3 (Plucker a) (Plucker a) a a
Instance details Defined in Linear.Plucker Methods _3 :: Lens (Plucker a) (Plucker a) a a Source #
Field3 (Quaternion a) (Quaternion a) a a
Instance details Defined in Linear.Quaternion Methods _3 :: Lens (Quaternion a) (Quaternion a) a a Source #
Field3 (V3 a) (V3 a) a a
Instance details Defined in Linear.V3 Methods _3 :: Lens (V3 a) (V3 a) a a Source #
Field3 (V4 a) (V4 a) a a
Instance details Defined in Linear.V4 Methods _3 :: Lens (V4 a) (V4 a) a a Source #
3 <= n => Field3 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _3 :: Lens (V n a) (V n a) a a Source #
Field3 (a, b, c) (a, b, c') c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c) (a, b, c') c c' Source #
Field3 (a, b, c, d) (a, b, c', d) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d) (a, b, c', d) c c' Source #
Field3 (a, b, c, d, e) (a, b, c', d, e) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e) (a, b, c', d, e) c c' Source #
Field3 (a, b, c, d, e, f) (a, b, c', d, e, f) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f) (a, b, c', d, e, f) c c' Source #
Field3 (a, b, c, d, e, f, g) (a, b, c', d, e, f, g) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g) (a, b, c', d, e, f, g) c c' Source #
Field3 (a, b, c, d, e, f, g, h) (a, b, c', d, e, f, g, h) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g, h) (a, b, c', d, e, f, g, h) c c' Source #
Field3 (a, b, c, d, e, f, g, h, i) (a, b, c', d, e, f, g, h, i) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g, h, i) (a, b, c', d, e, f, g, h, i) c c' Source #
Field3 (a, b, c, d, e, f, g, h, i, j) (a, b, c', d, e, f, g, h, i, j) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g, h, i, j) (a, b, c', d, e, f, g, h, i, j) c c' Source #
Field3 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c', d, e, f, g, h, i, j, kk) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c', d, e, f, g, h, i, j, kk) c c' Source #
Field3 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c', d, e, f, g, h, i, j, kk, l) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c', d, e, f, g, h, i, j, kk, l) c c' Source #
Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c', d, e, f, g, h, i, j, kk, l, m) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c', d, e, f, g, h, i, j, kk, l, m) c c' Source #
Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n) c c' Source #
Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o) c c' Source #
Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o, p) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o, p) c c' Source #
Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o, p, q) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o, p, q) c c' Source #
Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) c c' Source #
Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) c c'
Instance details Defined in Control.Lens.Tuple Methods _3 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) c c' Source #

class Field2 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to the 2nd field of a tuple.

Minimal complete definition

Nothing

Methods

_2 :: Lens s t a b Source #

Access the 2nd field of a tuple.

>>> _2 .~ "hello" $ (1,(),3,4)
(1,"hello",3,4)

>>> (1,2,3,4) & _2 *~ 3
(1,6,3,4)

>>> _2 print (1,2)
2
(1,())

anyOf _2 :: (s -> Bool) -> (a, s) -> Bool
traverse . _2 :: (Applicative f, Traversable t) => (a -> f b) -> t (s, a) -> f (t (s, b))
foldMapOf (traverse . _2) :: (Traversable t, Monoid m) => (s -> m) -> t (b, s) -> m

Instances

Instances details

Field2 (Plucker a) (Plucker a) a a
Instance details Defined in Linear.Plucker Methods _2 :: Lens (Plucker a) (Plucker a) a a Source #
Field2 (Quaternion a) (Quaternion a) a a
Instance details Defined in Linear.Quaternion Methods _2 :: Lens (Quaternion a) (Quaternion a) a a Source #
Field2 (V2 a) (V2 a) a a
Instance details Defined in Linear.V2 Methods _2 :: Lens (V2 a) (V2 a) a a Source #
Field2 (V3 a) (V3 a) a a
Instance details Defined in Linear.V3 Methods _2 :: Lens (V3 a) (V3 a) a a Source #
Field2 (V4 a) (V4 a) a a
Instance details Defined in Linear.V4 Methods _2 :: Lens (V4 a) (V4 a) a a Source #
Field2 (Pair a b) (Pair a b') b b'	Since: lens-4.20
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (Pair a b) (Pair a b') b b' Source #
Field2 (a, b) (a, b') b b'	`_2` k ~(a,b) = (\b' -> (a,b')) `<$>` k b
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b) (a, b') b b' Source #
2 <= n => Field2 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _2 :: Lens (V n a) (V n a) a a Source #
Field2 (a, b, c) (a, b', c) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c) (a, b', c) b b' Source #
Field2 (a, b, c, d) (a, b', c, d) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d) (a, b', c, d) b b' Source #
Field2 (Product f g a) (Product f g' a) (g a) (g' a)
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (Product f g a) (Product f g' a) (g a) (g' a) Source #
Field2 ((f :: g) p) ((f :: g') p) (g p) (g' p)
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens ((f :: g) p) ((f :: g') p) (g p) (g' p) Source #
Field2 (a, b, c, d, e) (a, b', c, d, e) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e) (a, b', c, d, e) b b' Source #
Field2 (a, b, c, d, e, f) (a, b', c, d, e, f) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f) (a, b', c, d, e, f) b b' Source #
Field2 (a, b, c, d, e, f, g) (a, b', c, d, e, f, g) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g) (a, b', c, d, e, f, g) b b' Source #
Field2 (a, b, c, d, e, f, g, h) (a, b', c, d, e, f, g, h) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g, h) (a, b', c, d, e, f, g, h) b b' Source #
Field2 (a, b, c, d, e, f, g, h, i) (a, b', c, d, e, f, g, h, i) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g, h, i) (a, b', c, d, e, f, g, h, i) b b' Source #
Field2 (a, b, c, d, e, f, g, h, i, j) (a, b', c, d, e, f, g, h, i, j) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g, h, i, j) (a, b', c, d, e, f, g, h, i, j) b b' Source #
Field2 (a, b, c, d, e, f, g, h, i, j, kk) (a, b', c, d, e, f, g, h, i, j, kk) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g, h, i, j, kk) (a, b', c, d, e, f, g, h, i, j, kk) b b' Source #
Field2 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b', c, d, e, f, g, h, i, j, kk, l) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b', c, d, e, f, g, h, i, j, kk, l) b b' Source #
Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b', c, d, e, f, g, h, i, j, kk, l, m) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b', c, d, e, f, g, h, i, j, kk, l, m) b b' Source #
Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n) b b' Source #
Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o) b b' Source #
Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o, p) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o, p) b b' Source #
Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) b b' Source #
Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) b b' Source #
Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) b b'
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) b b' Source #

class Field1 s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Provides access to 1st field of a tuple.

Minimal complete definition

Nothing

Methods

_1 :: Lens s t a b Source #

Access the 1st field of a tuple (and possibly change its type).

>>> (1,2)^._1
1

>>> _1 .~ "hello" $ (1,2)
("hello",2)

>>> (1,2) & _1 .~ "hello"
("hello",2)

>>> _1 putStrLn ("hello","world")
hello
((),"world")

This can also be used on larger tuples as well:

>>> (1,2,3,4,5) & _1 +~ 41
(42,2,3,4,5)

_1 :: Lens (a,b) (a',b) a a'
_1 :: Lens (a,b,c) (a',b,c) a a'
_1 :: Lens (a,b,c,d) (a',b,c,d) a a'
...
_1 :: Lens (a,b,c,d,e,f,g,h,i) (a',b,c,d,e,f,g,h,i) a a'

Instances

Instances details

Field1 (Identity a) (Identity b) a b
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (Identity a) (Identity b) a b Source #
Field1 (Plucker a) (Plucker a) a a
Instance details Defined in Linear.Plucker Methods _1 :: Lens (Plucker a) (Plucker a) a a Source #
Field1 (Quaternion a) (Quaternion a) a a
Instance details Defined in Linear.Quaternion Methods _1 :: Lens (Quaternion a) (Quaternion a) a a Source #
Field1 (V1 a) (V1 b) a b
Instance details Defined in Linear.V1 Methods _1 :: Lens (V1 a) (V1 b) a b Source #
Field1 (V2 a) (V2 a) a a
Instance details Defined in Linear.V2 Methods _1 :: Lens (V2 a) (V2 a) a a Source #
Field1 (V3 a) (V3 a) a a
Instance details Defined in Linear.V3 Methods _1 :: Lens (V3 a) (V3 a) a a Source #
Field1 (V4 a) (V4 a) a a
Instance details Defined in Linear.V4 Methods _1 :: Lens (V4 a) (V4 a) a a Source #
Field1 (Pair a b) (Pair a' b) a a'	Since: lens-4.20
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (Pair a b) (Pair a' b) a a' Source #
Field1 (a, b) (a', b) a a'	`_1` k ~(a,b) = (\a' -> (a',b)) `<$>` k a
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b) (a', b) a a' Source #
1 <= n => Field1 (V n a) (V n a) a a
Instance details Defined in Linear.V Methods _1 :: Lens (V n a) (V n a) a a Source #
Field1 (a, b, c) (a', b, c) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c) (a', b, c) a a' Source #
Field1 (a, b, c, d) (a', b, c, d) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d) (a', b, c, d) a a' Source #
Field1 (Product f g a) (Product f' g a) (f a) (f' a)
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (Product f g a) (Product f' g a) (f a) (f' a) Source #
Field1 ((f :: g) p) ((f' :: g) p) (f p) (f' p)
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens ((f :: g) p) ((f' :: g) p) (f p) (f' p) Source #
Field1 (a, b, c, d, e) (a', b, c, d, e) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e) (a', b, c, d, e) a a' Source #
Field1 (a, b, c, d, e, f) (a', b, c, d, e, f) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f) (a', b, c, d, e, f) a a' Source #
Field1 (a, b, c, d, e, f, g) (a', b, c, d, e, f, g) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g) (a', b, c, d, e, f, g) a a' Source #
Field1 (a, b, c, d, e, f, g, h) (a', b, c, d, e, f, g, h) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g, h) (a', b, c, d, e, f, g, h) a a' Source #
Field1 (a, b, c, d, e, f, g, h, i) (a', b, c, d, e, f, g, h, i) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g, h, i) (a', b, c, d, e, f, g, h, i) a a' Source #
Field1 (a, b, c, d, e, f, g, h, i, j) (a', b, c, d, e, f, g, h, i, j) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g, h, i, j) (a', b, c, d, e, f, g, h, i, j) a a' Source #
Field1 (a, b, c, d, e, f, g, h, i, j, kk) (a', b, c, d, e, f, g, h, i, j, kk) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g, h, i, j, kk) (a', b, c, d, e, f, g, h, i, j, kk) a a' Source #
Field1 (a, b, c, d, e, f, g, h, i, j, kk, l) (a', b, c, d, e, f, g, h, i, j, kk, l) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l) (a', b, c, d, e, f, g, h, i, j, kk, l) a a' Source #
Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a', b, c, d, e, f, g, h, i, j, kk, l, m) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a', b, c, d, e, f, g, h, i, j, kk, l, m) a a' Source #
Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n) a a' Source #
Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o) a a' Source #
Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) a a' Source #
Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) a a' Source #
Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) a a' Source #
Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) a a'
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) a a' Source #

type Accessing (p :: Type -> Type -> Type) m s a = p a (Const m a) -> s -> Const m s Source #

This is a convenient alias used when consuming (indexed) getters and (indexed) folds in a highly general fashion.

type IndexedGetting i m s a = Indexed i a (Const m a) -> s -> Const m s Source #

Used to consume an IndexedFold.

class Suffixed t where Source #

Methods

suffixed :: t -> Prism' t t Source #

A Prism stripping a suffix from a sequence when used as a Traversal, or appending that suffix when run backwards:

>>> "review" ^? suffixed "view"
Just "re"

>>> "review" ^? suffixed "tire"
Nothing

>>> suffixed ".o" # "hello"
"hello.o"

Instances

Instances details

Suffixed ByteString
Instance details Defined in Control.Lens.Prism Methods suffixed :: ByteString -> Prism' ByteString ByteString Source #
Suffixed ByteString
Instance details Defined in Control.Lens.Prism Methods suffixed :: ByteString -> Prism' ByteString ByteString Source #
Suffixed Text
Instance details Defined in Control.Lens.Prism Methods suffixed :: Text -> Prism' Text Text Source #
Suffixed Text
Instance details Defined in Control.Lens.Prism Methods suffixed :: Text -> Prism' Text Text Source #
Eq a => Suffixed [a]
Instance details Defined in Control.Lens.Prism Methods suffixed :: [a] -> Prism' [a] [a] Source #

class Prefixed t where Source #

Methods

prefixed :: t -> Prism' t t Source #

A Prism stripping a prefix from a sequence when used as a Traversal, or prepending that prefix when run backwards:

>>> "preview" ^? prefixed "pre"
Just "view"

>>> "review" ^? prefixed "pre"
Nothing

>>> prefixed "pre" # "amble"
"preamble"

Instances

Instances details

Prefixed ByteString
Instance details Defined in Control.Lens.Prism Methods prefixed :: ByteString -> Prism' ByteString ByteString Source #
Prefixed ByteString
Instance details Defined in Control.Lens.Prism Methods prefixed :: ByteString -> Prism' ByteString ByteString Source #
Prefixed Text
Instance details Defined in Control.Lens.Prism Methods prefixed :: Text -> Prism' Text Text Source #
Prefixed Text
Instance details Defined in Control.Lens.Prism Methods prefixed :: Text -> Prism' Text Text Source #
Eq a => Prefixed [a]
Instance details Defined in Control.Lens.Prism Methods prefixed :: [a] -> Prism' [a] [a] Source #

type APrism' s a = APrism s s a a Source #

type APrism' = Simple APrism

type APrism s t a b = Market a b a (Identity b) -> Market a b s (Identity t) Source #

If you see this in a signature for a function, the function is expecting a Prism.

class Ord k => TraverseMax k (m :: Type -> Type) | m -> k where Source #

Allows IndexedTraversal of the value at the largest index.

Methods

traverseMax :: IndexedTraversal' k (m v) v Source #

IndexedTraversal of the element at the largest index.

Instances

Instances details

TraverseMax Int IntMap
Instance details Defined in Control.Lens.Traversal Methods traverseMax :: IndexedTraversal' Int (IntMap v) v Source #
Ord k => TraverseMax k (Map k)
Instance details Defined in Control.Lens.Traversal Methods traverseMax :: IndexedTraversal' k (Map k v) v Source #

class Ord k => TraverseMin k (m :: Type -> Type) | m -> k where Source #

Allows IndexedTraversal the value at the smallest index.

Methods

traverseMin :: IndexedTraversal' k (m v) v Source #

IndexedTraversal of the element with the smallest index.

Instances

Instances details

TraverseMin Int IntMap
Instance details Defined in Control.Lens.Traversal Methods traverseMin :: IndexedTraversal' Int (IntMap v) v Source #
Ord k => TraverseMin k (Map k)
Instance details Defined in Control.Lens.Traversal Methods traverseMin :: IndexedTraversal' k (Map k v) v Source #

type Traversing1' (p :: Type -> Type -> Type) (f :: Type -> Type) s a = Traversing1 p f s s a a Source #

type Traversing' (p :: Type -> Type -> Type) (f :: Type -> Type) s a = Traversing p f s s a a Source #

type Traversing' f = Simple (Traversing f)

type Traversing1 (p :: Type -> Type -> Type) (f :: Type -> Type) s t a b = Over p (BazaarT1 p f a b) s t a b Source #

type Traversing (p :: Type -> Type -> Type) (f :: Type -> Type) s t a b = Over p (BazaarT p f a b) s t a b Source #

When you see this as an argument to a function, it expects

to be indexed if p is an instance of Indexed i,
to be unindexed if p is (->),
a Traversal if f is Applicative,
a Getter if f is only a Functor and Contravariant,
a Lens if f is only a Functor,
a Fold if f is Applicative and Contravariant.

type AnIndexedTraversal1' i s a = AnIndexedTraversal1 i s s a a Source #

type AnIndexedTraversal1' = Simple (AnIndexedTraversal1 i)

type AnIndexedTraversal' i s a = AnIndexedTraversal i s s a a Source #

type AnIndexedTraversal' = Simple (AnIndexedTraversal i)

type AnIndexedTraversal1 i s t a b = Over (Indexed i) (Bazaar1 (Indexed i) a b) s t a b Source #

When you see this as an argument to a function, it expects an IndexedTraversal1.

type AnIndexedTraversal i s t a b = Over (Indexed i) (Bazaar (Indexed i) a b) s t a b Source #

When you see this as an argument to a function, it expects an IndexedTraversal.

type ATraversal1' s a = ATraversal1 s s a a Source #

type ATraversal1' = Simple ATraversal1

type ATraversal1 s t a b = LensLike (Bazaar1 (->) a b) s t a b Source #

When you see this as an argument to a function, it expects a Traversal1.

type ATraversal' s a = ATraversal s s a a Source #

type ATraversal' = Simple ATraversal

type ATraversal s t a b = LensLike (Bazaar (->) a b) s t a b Source #

When you see this as an argument to a function, it expects a Traversal.

type ReifiedPrism' s a = ReifiedPrism s s a a Source #

type ReifiedPrism' = Simple ReifiedPrism

newtype ReifiedPrism s t a b Source #

Reify a Prism so it can be stored safely in a container.

Constructors

Prism
Fields runPrism :: Prism s t a b

type ReifiedIso' s a = ReifiedIso s s a a Source #

type ReifiedIso' = Simple ReifiedIso

newtype ReifiedIso s t a b Source #

Reify an Iso so it can be stored safely in a container.

Constructors

Iso
Fields runIso :: Iso s t a b

type ReifiedIndexedSetter' i s a = ReifiedIndexedSetter i s s a a Source #

type ReifiedIndexedSetter' i = Simple (ReifiedIndexedSetter i)

newtype ReifiedIndexedSetter i s t a b Source #

Reify an IndexedSetter so it can be stored safely in a container.

Constructors

IndexedSetter
Fields runIndexedSetter :: IndexedSetter i s t a b

type ReifiedSetter' s a = ReifiedSetter s s a a Source #

type ReifiedSetter' = Simple ReifiedSetter

newtype ReifiedSetter s t a b Source #

Reify a Setter so it can be stored safely in a container.

Constructors

Setter
Fields runSetter :: Setter s t a b

newtype ReifiedIndexedFold i s a Source #

Constructors

IndexedFold
Fields runIndexedFold :: IndexedFold i s a

Instances

Instances details

Representable (ReifiedIndexedFold i)
Instance details Defined in Control.Lens.Reified Associated Types type Rep (ReifiedIndexedFold i) :: Type -> Type Source # Methods tabulate :: (d -> Rep (ReifiedIndexedFold i) c) -> ReifiedIndexedFold i d c Source #
Strong (ReifiedIndexedFold i)
Instance details Defined in Control.Lens.Reified Methods first' :: ReifiedIndexedFold i a b -> ReifiedIndexedFold i (a, c) (b, c) Source # second' :: ReifiedIndexedFold i a b -> ReifiedIndexedFold i (c, a) (c, b) Source #
Profunctor (ReifiedIndexedFold i)
Instance details Defined in Control.Lens.Reified Methods dimap :: (a -> b) -> (c -> d) -> ReifiedIndexedFold i b c -> ReifiedIndexedFold i a d Source # lmap :: (a -> b) -> ReifiedIndexedFold i b c -> ReifiedIndexedFold i a c Source # rmap :: (b -> c) -> ReifiedIndexedFold i a b -> ReifiedIndexedFold i a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> ReifiedIndexedFold i a b -> ReifiedIndexedFold i a c Source # (.#) :: forall a b c q. Coercible b a => ReifiedIndexedFold i b c -> q a b -> ReifiedIndexedFold i a c Source #
Sieve (ReifiedIndexedFold i) (Compose List ((,) i))
Instance details Defined in Control.Lens.Reified Methods sieve :: ReifiedIndexedFold i a b -> a -> Compose List ((,) i) b Source #
Functor (ReifiedIndexedFold i s)
Instance details Defined in Control.Lens.Reified Methods fmap :: (a -> b) -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s b Source # (<$) :: a -> ReifiedIndexedFold i s b -> ReifiedIndexedFold i s a Source #
Alt (ReifiedIndexedFold i s)
Instance details Defined in Control.Lens.Reified Methods (<!>) :: ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a some :: Applicative (ReifiedIndexedFold i s) => ReifiedIndexedFold i s a -> ReifiedIndexedFold i s [a] many :: Applicative (ReifiedIndexedFold i s) => ReifiedIndexedFold i s a -> ReifiedIndexedFold i s [a]
Plus (ReifiedIndexedFold i s)
Instance details Defined in Control.Lens.Reified Methods zero :: ReifiedIndexedFold i s a
Monoid (ReifiedIndexedFold i s a)
Instance details Defined in Control.Lens.Reified Methods mempty :: ReifiedIndexedFold i s a Source # mappend :: ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a Source # mconcat :: [ReifiedIndexedFold i s a] -> ReifiedIndexedFold i s a Source #
Semigroup (ReifiedIndexedFold i s a)
Instance details Defined in Control.Lens.Reified Methods (<>) :: ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a Source # sconcat :: NonEmpty (ReifiedIndexedFold i s a) -> ReifiedIndexedFold i s a Source # stimes :: Integral b => b -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a Source #
type Rep (ReifiedIndexedFold i)
Instance details Defined in Control.Lens.Reified type Rep (ReifiedIndexedFold i) = Compose List ((,) i)

newtype ReifiedFold s a Source #

Reify a Fold so it can be stored safely in a container.

This can also be useful for creatively combining folds as ReifiedFold s is isomorphic to ReaderT s [] and provides similar instances.

>>> ("hello","world")^..runFold ((,) <$> Fold _2 <*> Fold both)
[("world","hello"),("world","world")]

Constructors

Fold
Fields runFold :: Fold s a

Instances

Instances details

Arrow ReifiedFold
Instance details Defined in Control.Lens.Reified Methods arr :: (b -> c) -> ReifiedFold b c Source # first :: ReifiedFold b c -> ReifiedFold (b, d) (c, d) Source # second :: ReifiedFold b c -> ReifiedFold (d, b) (d, c) Source # (***) :: ReifiedFold b c -> ReifiedFold b' c' -> ReifiedFold (b, b') (c, c') Source # (&&&) :: ReifiedFold b c -> ReifiedFold b c' -> ReifiedFold b (c, c') Source #
ArrowApply ReifiedFold
Instance details Defined in Control.Lens.Reified Methods app :: ReifiedFold (ReifiedFold b c, b) c Source #
ArrowChoice ReifiedFold
Instance details Defined in Control.Lens.Reified Methods left :: ReifiedFold b c -> ReifiedFold (Either b d) (Either c d) Source # right :: ReifiedFold b c -> ReifiedFold (Either d b) (Either d c) Source # (+++) :: ReifiedFold b c -> ReifiedFold b' c' -> ReifiedFold (Either b b') (Either c c') Source # (\|\|\|) :: ReifiedFold b d -> ReifiedFold c d -> ReifiedFold (Either b c) d Source #
Choice ReifiedFold
Instance details Defined in Control.Lens.Reified Methods left' :: ReifiedFold a b -> ReifiedFold (Either a c) (Either b c) Source # right' :: ReifiedFold a b -> ReifiedFold (Either c a) (Either c b) Source #
Representable ReifiedFold
Instance details Defined in Control.Lens.Reified Associated Types type Rep ReifiedFold :: Type -> Type Source # Methods tabulate :: (d -> Rep ReifiedFold c) -> ReifiedFold d c Source #
Strong ReifiedFold
Instance details Defined in Control.Lens.Reified Methods first' :: ReifiedFold a b -> ReifiedFold (a, c) (b, c) Source # second' :: ReifiedFold a b -> ReifiedFold (c, a) (c, b) Source #
Profunctor ReifiedFold
Instance details Defined in Control.Lens.Reified Methods dimap :: (a -> b) -> (c -> d) -> ReifiedFold b c -> ReifiedFold a d Source # lmap :: (a -> b) -> ReifiedFold b c -> ReifiedFold a c Source # rmap :: (b -> c) -> ReifiedFold a b -> ReifiedFold a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> ReifiedFold a b -> ReifiedFold a c Source # (.#) :: forall a b c q. Coercible b a => ReifiedFold b c -> q a b -> ReifiedFold a c Source #
Category ReifiedFold
Instance details Defined in Control.Lens.Reified Methods id :: forall (a :: k). ReifiedFold a a Source # (.) :: forall (b :: k) (c :: k) (a :: k). ReifiedFold b c -> ReifiedFold a b -> ReifiedFold a c Source #
Sieve ReifiedFold List
Instance details Defined in Control.Lens.Reified Methods sieve :: ReifiedFold a b -> a -> [b] Source #
MonadReader s (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods ask :: ReifiedFold s s Source # local :: (s -> s) -> ReifiedFold s a -> ReifiedFold s a Source # reader :: (s -> a) -> ReifiedFold s a Source #
Alternative (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods empty :: ReifiedFold s a Source # (<\|>) :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a Source # some :: ReifiedFold s a -> ReifiedFold s [a] Source # many :: ReifiedFold s a -> ReifiedFold s [a] Source #
Applicative (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods pure :: a -> ReifiedFold s a Source # (<>) :: ReifiedFold s (a -> b) -> ReifiedFold s a -> ReifiedFold s b Source # liftA2 :: (a -> b -> c) -> ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s c Source # (>) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s b Source # (<*) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s a Source #
Functor (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods fmap :: (a -> b) -> ReifiedFold s a -> ReifiedFold s b Source # (<$) :: a -> ReifiedFold s b -> ReifiedFold s a Source #
Monad (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods (>>=) :: ReifiedFold s a -> (a -> ReifiedFold s b) -> ReifiedFold s b Source # (>>) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s b Source # return :: a -> ReifiedFold s a Source #
MonadPlus (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods mzero :: ReifiedFold s a Source # mplus :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a Source #
Alt (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods (<!>) :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a some :: Applicative (ReifiedFold s) => ReifiedFold s a -> ReifiedFold s [a] many :: Applicative (ReifiedFold s) => ReifiedFold s a -> ReifiedFold s [a]
Apply (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods (<.>) :: ReifiedFold s (a -> b) -> ReifiedFold s a -> ReifiedFold s b (.>) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s b (<.) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s a liftF2 :: (a -> b -> c) -> ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s c
Bind (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods (>>-) :: ReifiedFold s a -> (a -> ReifiedFold s b) -> ReifiedFold s b join :: ReifiedFold s (ReifiedFold s a) -> ReifiedFold s a
Plus (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods zero :: ReifiedFold s a
Monoid (ReifiedFold s a)
Instance details Defined in Control.Lens.Reified Methods mempty :: ReifiedFold s a Source # mappend :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a Source # mconcat :: [ReifiedFold s a] -> ReifiedFold s a Source #
Semigroup (ReifiedFold s a)
Instance details Defined in Control.Lens.Reified Methods (<>) :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a Source # sconcat :: NonEmpty (ReifiedFold s a) -> ReifiedFold s a Source # stimes :: Integral b => b -> ReifiedFold s a -> ReifiedFold s a Source #
type Rep ReifiedFold
Instance details Defined in Control.Lens.Reified type Rep ReifiedFold = List

newtype ReifiedIndexedGetter i s a Source #

Reify an IndexedGetter so it can be stored safely in a container.

Constructors

IndexedGetter
Fields runIndexedGetter :: IndexedGetter i s a

Instances

Instances details

Representable (ReifiedIndexedGetter i)
Instance details Defined in Control.Lens.Reified Associated Types type Rep (ReifiedIndexedGetter i) :: Type -> Type Source # Methods tabulate :: (d -> Rep (ReifiedIndexedGetter i) c) -> ReifiedIndexedGetter i d c Source #
Strong (ReifiedIndexedGetter i)
Instance details Defined in Control.Lens.Reified Methods first' :: ReifiedIndexedGetter i a b -> ReifiedIndexedGetter i (a, c) (b, c) Source # second' :: ReifiedIndexedGetter i a b -> ReifiedIndexedGetter i (c, a) (c, b) Source #
Profunctor (ReifiedIndexedGetter i)
Instance details Defined in Control.Lens.Reified Methods dimap :: (a -> b) -> (c -> d) -> ReifiedIndexedGetter i b c -> ReifiedIndexedGetter i a d Source # lmap :: (a -> b) -> ReifiedIndexedGetter i b c -> ReifiedIndexedGetter i a c Source # rmap :: (b -> c) -> ReifiedIndexedGetter i a b -> ReifiedIndexedGetter i a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> ReifiedIndexedGetter i a b -> ReifiedIndexedGetter i a c Source # (.#) :: forall a b c q. Coercible b a => ReifiedIndexedGetter i b c -> q a b -> ReifiedIndexedGetter i a c Source #
Sieve (ReifiedIndexedGetter i) ((,) i)
Instance details Defined in Control.Lens.Reified Methods sieve :: ReifiedIndexedGetter i a b -> a -> (i, b) Source #
Functor (ReifiedIndexedGetter i s)
Instance details Defined in Control.Lens.Reified Methods fmap :: (a -> b) -> ReifiedIndexedGetter i s a -> ReifiedIndexedGetter i s b Source # (<$) :: a -> ReifiedIndexedGetter i s b -> ReifiedIndexedGetter i s a Source #
Semigroup i => Apply (ReifiedIndexedGetter i s)
Instance details Defined in Control.Lens.Reified Methods (<.>) :: ReifiedIndexedGetter i s (a -> b) -> ReifiedIndexedGetter i s a -> ReifiedIndexedGetter i s b (.>) :: ReifiedIndexedGetter i s a -> ReifiedIndexedGetter i s b -> ReifiedIndexedGetter i s b (<.) :: ReifiedIndexedGetter i s a -> ReifiedIndexedGetter i s b -> ReifiedIndexedGetter i s a liftF2 :: (a -> b -> c) -> ReifiedIndexedGetter i s a -> ReifiedIndexedGetter i s b -> ReifiedIndexedGetter i s c
type Rep (ReifiedIndexedGetter i)
Instance details Defined in Control.Lens.Reified type Rep (ReifiedIndexedGetter i) = (,) i

newtype ReifiedGetter s a Source #

Reify a Getter so it can be stored safely in a container.

This can also be useful when combining getters in novel ways, as ReifiedGetter is isomorphic to (->) and provides similar instances.

>>> ("hello","world","!!!")^.runGetter ((,) <$> Getter _2 <*> Getter (_1.to length))
("world",5)

Constructors

Getter
Fields runGetter :: Getter s a

Instances

Instances details

Arrow ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods arr :: (b -> c) -> ReifiedGetter b c Source # first :: ReifiedGetter b c -> ReifiedGetter (b, d) (c, d) Source # second :: ReifiedGetter b c -> ReifiedGetter (d, b) (d, c) Source # (***) :: ReifiedGetter b c -> ReifiedGetter b' c' -> ReifiedGetter (b, b') (c, c') Source # (&&&) :: ReifiedGetter b c -> ReifiedGetter b c' -> ReifiedGetter b (c, c') Source #
ArrowApply ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods app :: ReifiedGetter (ReifiedGetter b c, b) c Source #
ArrowChoice ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods left :: ReifiedGetter b c -> ReifiedGetter (Either b d) (Either c d) Source # right :: ReifiedGetter b c -> ReifiedGetter (Either d b) (Either d c) Source # (+++) :: ReifiedGetter b c -> ReifiedGetter b' c' -> ReifiedGetter (Either b b') (Either c c') Source # (\|\|\|) :: ReifiedGetter b d -> ReifiedGetter c d -> ReifiedGetter (Either b c) d Source #
ArrowLoop ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods loop :: ReifiedGetter (b, d) (c, d) -> ReifiedGetter b c Source #
Conjoined ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods distrib :: Functor f => ReifiedGetter a b -> ReifiedGetter (f a) (f b) Source # conjoined :: (ReifiedGetter ~ (->) => q (a -> b) r) -> q (ReifiedGetter a b) r -> q (ReifiedGetter a b) r Source #
Choice ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods left' :: ReifiedGetter a b -> ReifiedGetter (Either a c) (Either b c) Source # right' :: ReifiedGetter a b -> ReifiedGetter (Either c a) (Either c b) Source #
Closed ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods closed :: ReifiedGetter a b -> ReifiedGetter (x -> a) (x -> b) Source #
Corepresentable ReifiedGetter
Instance details Defined in Control.Lens.Reified Associated Types type Corep ReifiedGetter :: Type -> Type Source # Methods cotabulate :: (Corep ReifiedGetter d -> c) -> ReifiedGetter d c Source #
Representable ReifiedGetter
Instance details Defined in Control.Lens.Reified Associated Types type Rep ReifiedGetter :: Type -> Type Source # Methods tabulate :: (d -> Rep ReifiedGetter c) -> ReifiedGetter d c Source #
Costrong ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods unfirst :: ReifiedGetter (a, d) (b, d) -> ReifiedGetter a b Source # unsecond :: ReifiedGetter (d, a) (d, b) -> ReifiedGetter a b Source #
Strong ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods first' :: ReifiedGetter a b -> ReifiedGetter (a, c) (b, c) Source # second' :: ReifiedGetter a b -> ReifiedGetter (c, a) (c, b) Source #
Profunctor ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods dimap :: (a -> b) -> (c -> d) -> ReifiedGetter b c -> ReifiedGetter a d Source # lmap :: (a -> b) -> ReifiedGetter b c -> ReifiedGetter a c Source # rmap :: (b -> c) -> ReifiedGetter a b -> ReifiedGetter a c Source # (#.) :: forall a b c q. Coercible c b => q b c -> ReifiedGetter a b -> ReifiedGetter a c Source # (.#) :: forall a b c q. Coercible b a => ReifiedGetter b c -> q a b -> ReifiedGetter a c Source #
Category ReifiedGetter
Instance details Defined in Control.Lens.Reified Methods id :: forall (a :: k). ReifiedGetter a a Source # (.) :: forall (b :: k) (c :: k) (a :: k). ReifiedGetter b c -> ReifiedGetter a b -> ReifiedGetter a c Source #
Cosieve ReifiedGetter Identity
Instance details Defined in Control.Lens.Reified Methods cosieve :: ReifiedGetter a b -> Identity a -> b Source #
Sieve ReifiedGetter Identity
Instance details Defined in Control.Lens.Reified Methods sieve :: ReifiedGetter a b -> a -> Identity b Source #
MonadReader s (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods ask :: ReifiedGetter s s Source # local :: (s -> s) -> ReifiedGetter s a -> ReifiedGetter s a Source # reader :: (s -> a) -> ReifiedGetter s a Source #
Applicative (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods pure :: a -> ReifiedGetter s a Source # (<>) :: ReifiedGetter s (a -> b) -> ReifiedGetter s a -> ReifiedGetter s b Source # liftA2 :: (a -> b -> c) -> ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s c Source # (>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b Source # (<*) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s a Source #
Functor (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods fmap :: (a -> b) -> ReifiedGetter s a -> ReifiedGetter s b Source # (<$) :: a -> ReifiedGetter s b -> ReifiedGetter s a Source #
Monad (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods (>>=) :: ReifiedGetter s a -> (a -> ReifiedGetter s b) -> ReifiedGetter s b Source # (>>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b Source # return :: a -> ReifiedGetter s a Source #
Monoid s => Comonad (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods extract :: ReifiedGetter s a -> a duplicate :: ReifiedGetter s a -> ReifiedGetter s (ReifiedGetter s a) extend :: (ReifiedGetter s a -> b) -> ReifiedGetter s a -> ReifiedGetter s b
Monoid s => ComonadApply (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods (<@>) :: ReifiedGetter s (a -> b) -> ReifiedGetter s a -> ReifiedGetter s b (@>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b (<@) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s a
Distributive (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods distribute :: Functor f => f (ReifiedGetter s a) -> ReifiedGetter s (f a) Source # collect :: Functor f => (a -> ReifiedGetter s b) -> f a -> ReifiedGetter s (f b) Source # distributeM :: Monad m => m (ReifiedGetter s a) -> ReifiedGetter s (m a) Source # collectM :: Monad m => (a -> ReifiedGetter s b) -> m a -> ReifiedGetter s (m b) Source #
Apply (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods (<.>) :: ReifiedGetter s (a -> b) -> ReifiedGetter s a -> ReifiedGetter s b (.>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b (<.) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s a liftF2 :: (a -> b -> c) -> ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s c
Bind (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods (>>-) :: ReifiedGetter s a -> (a -> ReifiedGetter s b) -> ReifiedGetter s b join :: ReifiedGetter s (ReifiedGetter s a) -> ReifiedGetter s a
Semigroup s => Extend (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods duplicated :: ReifiedGetter s a -> ReifiedGetter s (ReifiedGetter s a) extended :: (ReifiedGetter s a -> b) -> ReifiedGetter s a -> ReifiedGetter s b
type Corep ReifiedGetter
Instance details Defined in Control.Lens.Reified type Corep ReifiedGetter = Identity
type Rep ReifiedGetter
Instance details Defined in Control.Lens.Reified type Rep ReifiedGetter = Identity

type ReifiedTraversal' s a = ReifiedTraversal s s a a Source #

type ReifiedTraversal' = Simple ReifiedTraversal

type ReifiedIndexedTraversal' i s a = ReifiedIndexedTraversal i s s a a Source #

type ReifiedIndexedTraversal' i = Simple (ReifiedIndexedTraversal i)

newtype ReifiedIndexedTraversal i s t a b Source #

Reify an IndexedTraversal so it can be stored safely in a container.

Constructors

IndexedTraversal
Fields runIndexedTraversal :: IndexedTraversal i s t a b

type ReifiedIndexedLens' i s a = ReifiedIndexedLens i s s a a Source #

type ReifiedIndexedLens' i = Simple (ReifiedIndexedLens i)

newtype ReifiedIndexedLens i s t a b Source #

Reify an IndexedLens so it can be stored safely in a container.

Constructors

IndexedLens
Fields runIndexedLens :: IndexedLens i s t a b

type ReifiedLens' s a = ReifiedLens s s a a Source #

type ReifiedLens' = Simple ReifiedLens

newtype ReifiedLens s t a b Source #

Reify a Lens so it can be stored safely in a container.

Constructors

Lens
Fields runLens :: Lens s t a b

type AnEquality' (s :: k) (a :: k) = AnEquality s s a a Source #

A Simple AnEquality.

type AnEquality (s :: k) (t :: k1) (a :: k) (b :: k2) = Identical a (Proxy b) a (Proxy b) -> Identical a (Proxy b) s (Proxy t) Source #

When you see this as an argument to a function, it expects an Equality.

data Identical (a :: k) (b :: k1) (s :: k) (t :: k1) where Source #

Provides witness that (s ~ a, b ~ t) holds.

Constructors

Identical :: forall {k} {k1} (a :: k) (b :: k1). Identical a b a b

type AnIso' s a = AnIso s s a a Source #

A Simple AnIso.

type AnIso s t a b = Exchange a b a (Identity b) -> Exchange a b s (Identity t) Source #

When you see this as an argument to a function, it expects an Iso.

class Snoc s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

This class provides a way to attach or detach elements on the right side of a structure in a flexible manner.

Methods

_Snoc :: Prism s t (s, a) (t, b) Source #

_Snoc :: Prism [a] [b] ([a], a) ([b], b)
_Snoc :: Prism (Seq a) (Seq b) (Seq a, a) (Seq b, b)
_Snoc :: Prism (Vector a) (Vector b) (Vector a, a) (Vector b, b)
_Snoc :: Prism' String (String, Char)
_Snoc :: Prism' Text (Text, Char)
_Snoc :: Prism' ByteString (ByteString, Word8)

Instances

Instances details

Snoc ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism ByteString ByteString (ByteString, Word8) (ByteString, Word8) Source #
Snoc ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism ByteString ByteString (ByteString, Word8) (ByteString, Word8) Source #
Snoc Text Text Char Char
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism Text Text (Text, Char) (Text, Char) Source #
Snoc Text Text Char Char
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism Text Text (Text, Char) (Text, Char) Source #
Snoc (ZipList a) (ZipList b) a b
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism (ZipList a) (ZipList b) (ZipList a, a) (ZipList b, b) Source #
Snoc (Seq a) (Seq b) a b
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism (Seq a) (Seq b) (Seq a, a) (Seq b, b) Source #
Snoc (Vector a) (Vector b) a b
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism (Vector a) (Vector b) (Vector a, a) (Vector b, b) Source #
(Prim a, Prim b) => Snoc (Vector a) (Vector b) a b
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism (Vector a) (Vector b) (Vector a, a) (Vector b, b) Source #
(Storable a, Storable b) => Snoc (Vector a) (Vector b) a b
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism (Vector a) (Vector b) (Vector a, a) (Vector b, b) Source #
(Unbox a, Unbox b) => Snoc (Vector a) (Vector b) a b
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism (Vector a) (Vector b) (Vector a, a) (Vector b, b) Source #
Snoc [a] [b] a b
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism [a] [b] ([a], a) ([b], b) Source #
(Measured m a, Measured n b) => Snoc (FingerTree m a) (FingerTree n b) a b Source #
Instance details Defined in Diagrams.Trail Methods _Snoc :: Prism (FingerTree m a) (FingerTree n b) (FingerTree m a, a) (FingerTree n b, b) Source #
Snoc (Path v n) (Path v' n') (Located (Trail v n)) (Located (Trail v' n')) Source #
Instance details Defined in Diagrams.Path Methods _Snoc :: Prism (Path v n) (Path v' n') (Path v n, Located (Trail v n)) (Path v' n', Located (Trail v' n')) Source #
(Metric v, OrderedField n, Metric u, OrderedField n') => Snoc (SegTree v n) (SegTree u n') (Segment Closed v n) (Segment Closed u n') Source #
Instance details Defined in Diagrams.Trail Methods _Snoc :: Prism (SegTree v n) (SegTree u n') (SegTree v n, Segment Closed v n) (SegTree u n', Segment Closed u n') Source #
(Metric v, OrderedField n, Metric u, OrderedField n') => Snoc (Trail' Line v n) (Trail' Line u n') (Segment Closed v n) (Segment Closed u n') Source #
Instance details Defined in Diagrams.Trail Methods _Snoc :: Prism (Trail' Line v n) (Trail' Line u n') (Trail' Line v n, Segment Closed v n) (Trail' Line u n', Segment Closed u n') Source #

class Cons s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

This class provides a way to attach or detach elements on the left side of a structure in a flexible manner.

Methods

_Cons :: Prism s t (a, s) (b, t) Source #

_Cons :: Prism [a] [b] (a, [a]) (b, [b])
_Cons :: Prism (Seq a) (Seq b) (a, Seq a) (b, Seq b)
_Cons :: Prism (Vector a) (Vector b) (a, Vector a) (b, Vector b)
_Cons :: Prism' String (Char, String)
_Cons :: Prism' Text (Char, Text)
_Cons :: Prism' ByteString (Word8, ByteString)

Instances

Instances details

Cons ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism ByteString ByteString (Word8, ByteString) (Word8, ByteString) Source #
Cons ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism ByteString ByteString (Word8, ByteString) (Word8, ByteString) Source #
Cons Text Text Char Char
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism Text Text (Char, Text) (Char, Text) Source #
Cons Text Text Char Char
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism Text Text (Char, Text) (Char, Text) Source #
Cons (ZipList a) (ZipList b) a b
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism (ZipList a) (ZipList b) (a, ZipList a) (b, ZipList b) Source #
Cons (Seq a) (Seq b) a b
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism (Seq a) (Seq b) (a, Seq a) (b, Seq b) Source #
Cons (Vector a) (Vector b) a b
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism (Vector a) (Vector b) (a, Vector a) (b, Vector b) Source #
(Prim a, Prim b) => Cons (Vector a) (Vector b) a b
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism (Vector a) (Vector b) (a, Vector a) (b, Vector b) Source #
(Storable a, Storable b) => Cons (Vector a) (Vector b) a b
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism (Vector a) (Vector b) (a, Vector a) (b, Vector b) Source #
(Unbox a, Unbox b) => Cons (Vector a) (Vector b) a b
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism (Vector a) (Vector b) (a, Vector a) (b, Vector b) Source #
Cons [a] [b] a b
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism [a] [b] (a, [a]) (b, [b]) Source #
(Measured m a, Measured n b) => Cons (FingerTree m a) (FingerTree n b) a b Source #
Instance details Defined in Diagrams.Trail Methods _Cons :: Prism (FingerTree m a) (FingerTree n b) (a, FingerTree m a) (b, FingerTree n b) Source #
Cons (Path v n) (Path v' n') (Located (Trail v n)) (Located (Trail v' n')) Source #
Instance details Defined in Diagrams.Path Methods _Cons :: Prism (Path v n) (Path v' n') (Located (Trail v n), Path v n) (Located (Trail v' n'), Path v' n') Source #
(Metric v, OrderedField n, Metric u, OrderedField n') => Cons (SegTree v n) (SegTree u n') (Segment Closed v n) (Segment Closed u n') Source #
Instance details Defined in Diagrams.Trail Methods _Cons :: Prism (SegTree v n) (SegTree u n') (Segment Closed v n, SegTree v n) (Segment Closed u n', SegTree u n') Source #
(Metric v, OrderedField n, Metric u, OrderedField n') => Cons (Trail' Line v n) (Trail' Line u n') (Segment Closed v n) (Segment Closed u n') Source #
Instance details Defined in Diagrams.Trail Methods _Cons :: Prism (Trail' Line v n) (Trail' Line u n') (Segment Closed v n, Trail' Line v n) (Segment Closed u n', Trail' Line u n') Source #

class (Rewrapped s t, Rewrapped t s) => Rewrapping s t Source #

Instances

Instances details

(Rewrapped s t, Rewrapped t s) => Rewrapping s t
Instance details Defined in Control.Lens.Wrapped

class Wrapped s => Rewrapped s t Source #

Instances

Instances details

t ~ NoMethodError => Rewrapped NoMethodError t
Instance details Defined in Control.Lens.Wrapped
t ~ PatternMatchFail => Rewrapped PatternMatchFail t
Instance details Defined in Control.Lens.Wrapped
t ~ RecConError => Rewrapped RecConError t
Instance details Defined in Control.Lens.Wrapped
t ~ RecSelError => Rewrapped RecSelError t
Instance details Defined in Control.Lens.Wrapped
t ~ RecUpdError => Rewrapped RecUpdError t
Instance details Defined in Control.Lens.Wrapped
t ~ TypeError => Rewrapped TypeError t
Instance details Defined in Control.Lens.Wrapped
t ~ All => Rewrapped All t
Instance details Defined in Control.Lens.Wrapped
t ~ Any => Rewrapped Any t
Instance details Defined in Control.Lens.Wrapped
Rewrapped Errno t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CBool t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CChar t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CClock t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CDouble t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CFloat t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CInt t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CIntMax t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CIntPtr t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CLLong t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CLong t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CPtrdiff t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CSChar t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CSUSeconds t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CShort t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CSigAtomic t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CSize t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CTime t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CUChar t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CUInt t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CUIntMax t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CUIntPtr t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CULLong t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CULong t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CUSeconds t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CUShort t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CWchar t
Instance details Defined in Control.Lens.Wrapped
t ~ ErrorCall => Rewrapped ErrorCall t
Instance details Defined in Control.Lens.Wrapped
t ~ AssertionFailed => Rewrapped AssertionFailed t
Instance details Defined in Control.Lens.Wrapped
t ~ CompactionFailed => Rewrapped CompactionFailed t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CBlkCnt t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CBlkSize t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CCc t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CClockId t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CDev t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CFsBlkCnt t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CFsFilCnt t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CGid t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CId t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CIno t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CKey t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CMode t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CNlink t
Instance details Defined in Control.Lens.Wrapped
Rewrapped COff t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CPid t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CRLim t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CSpeed t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CSsize t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CTcflag t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CTimer t
Instance details Defined in Control.Lens.Wrapped
Rewrapped CUid t
Instance details Defined in Control.Lens.Wrapped
Rewrapped Fd t
Instance details Defined in Control.Lens.Wrapped
t ~ IntSet => Rewrapped IntSet t	Use `_Wrapping fromList`. unwrapping returns a sorted list.
Instance details Defined in Control.Lens.Wrapped
Rewrapped Name Name
Instance details Defined in Diagrams.Core.Names
Rewrapped SegCount SegCount Source #
Instance details Defined in Diagrams.Segment
t ~ ZipList b => Rewrapped (ZipList a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Comparison b => Rewrapped (Comparison a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Equivalence b => Rewrapped (Equivalence a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Predicate b => Rewrapped (Predicate a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Identity b => Rewrapped (Identity a) t
Instance details Defined in Control.Lens.Wrapped
t ~ First b => Rewrapped (First a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Last b => Rewrapped (Last a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Down b => Rewrapped (Down a) t
Instance details Defined in Control.Lens.Wrapped
t ~ First b => Rewrapped (First a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Last b => Rewrapped (Last a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Max b => Rewrapped (Max a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Min b => Rewrapped (Min a) t
Instance details Defined in Control.Lens.Wrapped
t ~ WrappedMonoid b => Rewrapped (WrappedMonoid a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Dual b => Rewrapped (Dual a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Endo b => Rewrapped (Endo a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Product b => Rewrapped (Product a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Sum b => Rewrapped (Sum a) t
Instance details Defined in Control.Lens.Wrapped
t ~ NonEmpty b => Rewrapped (NonEmpty a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Par1 p' => Rewrapped (Par1 p) t
Instance details Defined in Control.Lens.Wrapped
t ~ IntMap a' => Rewrapped (IntMap a) t	Use `_Wrapping fromList`. unwrapping returns a sorted list.
Instance details Defined in Control.Lens.Wrapped
t ~ Seq a' => Rewrapped (Seq a) t
Instance details Defined in Control.Lens.Wrapped
(t ~ Set a', Ord a) => Rewrapped (Set a) t	Use `_Wrapping fromList`. unwrapping returns a sorted list.
Instance details Defined in Control.Lens.Wrapped
Clip n1 ~ t => Rewrapped (Clip n2) t Source #
Instance details Defined in Diagrams.TwoD.Path
(t ~ HashSet a', Hashable a, Eq a) => Rewrapped (HashSet a) t	Use `_Wrapping fromList`. Unwrapping returns some permutation of the list.
Instance details Defined in Control.Lens.Wrapped
t ~ Vector a' => Rewrapped (Vector a) t
Instance details Defined in Control.Lens.Wrapped
(Prim a, t ~ Vector a') => Rewrapped (Vector a) t
Instance details Defined in Control.Lens.Wrapped
(Storable a, t ~ Vector a') => Rewrapped (Vector a) t
Instance details Defined in Control.Lens.Wrapped
(Unbox a, t ~ Vector a') => Rewrapped (Vector a) t
Instance details Defined in Control.Lens.Wrapped
Rewrapped (Active a) (Active b)
Instance details Defined in Data.Active
Rewrapped (Duration a) (Duration b)
Instance details Defined in Data.Active
Rewrapped (Time a) (Time b)
Instance details Defined in Data.Active
Rewrapped (TransInv t) (TransInv t')
Instance details Defined in Diagrams.Core.Transform
Rewrapped (ArcLength n) (ArcLength n') Source #
Instance details Defined in Diagrams.Segment
t ~ WrappedMonad m' a' => Rewrapped (WrappedMonad m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ ArrowMonad m' a' => Rewrapped (ArrowMonad m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Op a' b' => Rewrapped (Op a b) t
Instance details Defined in Control.Lens.Wrapped
(t ~ Map k' a', Ord k) => Rewrapped (Map k a) t	Use `_Wrapping fromList`. unwrapping returns a sorted list.
Instance details Defined in Control.Lens.Wrapped
t ~ CatchT m' a' => Rewrapped (CatchT m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Alt f' a' => Rewrapped (Alt f a) t
Instance details Defined in Control.Lens.Wrapped
t ~ CoiterT w' a' => Rewrapped (CoiterT w a) t
Instance details Defined in Control.Lens.Wrapped
t ~ IterT m' a' => Rewrapped (IterT m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Point g b => Rewrapped (Point f a) t
Instance details Defined in Linear.Affine
t ~ MaybeApply f' a' => Rewrapped (MaybeApply f a) t
Instance details Defined in Control.Lens.Wrapped
t ~ WrappedApplicative f' a' => Rewrapped (WrappedApplicative f a) t
Instance details Defined in Control.Lens.Wrapped
t ~ MaybeT n b => Rewrapped (MaybeT m a) t
Instance details Defined in Control.Lens.Wrapped
(t ~ HashMap k' a', Hashable k, Eq k) => Rewrapped (HashMap k a) t	Use `_Wrapping fromList`. Unwrapping returns some permutation of the list.
Instance details Defined in Control.Lens.Wrapped
Rewrapped (Envelope v n) (Envelope v' n')
Instance details Defined in Diagrams.Core.Envelope
Rewrapped (Style v n) (Style v' n')
Instance details Defined in Diagrams.Core.Style
Rewrapped (Trace v n) (Trace v' n')
Instance details Defined in Diagrams.Core.Trace
Rewrapped (Path v n) (Path v' n') Source #
Instance details Defined in Diagrams.Path
Rewrapped (TotalOffset v n) (TotalOffset v' n') Source #
Instance details Defined in Diagrams.Segment
Rewrapped (SegTree v n) (SegTree v' n') Source #
Instance details Defined in Diagrams.Trail
Rewrapped (Trail v n) (Trail v' n') Source #
Instance details Defined in Diagrams.Trail
t ~ WrappedArrow a' b' c' => Rewrapped (WrappedArrow a b c) t
Instance details Defined in Control.Lens.Wrapped
t ~ Kleisli m' a' b' => Rewrapped (Kleisli m a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ Const a' x' => Rewrapped (Const a x) t
Instance details Defined in Control.Lens.Wrapped
t ~ Ap g b => Rewrapped (Ap f a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Alt g b => Rewrapped (Alt f a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Rec1 f' p' => Rewrapped (Rec1 f p) t
Instance details Defined in Control.Lens.Wrapped
t ~ Fix p' a' => Rewrapped (Fix p a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Join p' a' => Rewrapped (Join p a) t
Instance details Defined in Control.Lens.Wrapped
t ~ TracedT m' w' a' => Rewrapped (TracedT m w a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Compose f' g' a' => Rewrapped (Compose f g a) t
Instance details Defined in Control.Lens.Wrapped
t ~ ComposeCF f' g' a' => Rewrapped (ComposeCF f g a) t
Instance details Defined in Control.Lens.Wrapped
t ~ ComposeFC f' g' a' => Rewrapped (ComposeFC f g a) t
Instance details Defined in Control.Lens.Wrapped
t ~ ApT f' g' a' => Rewrapped (ApT f g a) t
Instance details Defined in Control.Lens.Wrapped
t ~ CofreeT f' w' a' => Rewrapped (CofreeT f w a) t
Instance details Defined in Control.Lens.Wrapped
t ~ FreeT f' m' a' => Rewrapped (FreeT f m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Static f' a' b' => Rewrapped (Static f a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ Tagged s' a' => Rewrapped (Tagged s a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Backwards g b => Rewrapped (Backwards f a) t
Instance details Defined in Control.Lens.Wrapped
t ~ ExceptT e' m' a' => Rewrapped (ExceptT e m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ IdentityT n b => Rewrapped (IdentityT m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ ReaderT s n b => Rewrapped (ReaderT r m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ StateT s' m' a' => Rewrapped (StateT s m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ StateT s' m' a' => Rewrapped (StateT s m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ WriterT w' m' a' => Rewrapped (WriterT w m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ WriterT w' m' a' => Rewrapped (WriterT w m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Constant a' b' => Rewrapped (Constant a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ Reverse g b => Rewrapped (Reverse f a) t
Instance details Defined in Control.Lens.Wrapped
Rewrapped (Query v a m) (Query v' a' m')
Instance details Defined in Diagrams.Core.Query
Rewrapped (Trail' Line v n) (Trail' Line v' n') Source #
Instance details Defined in Diagrams.Trail
t ~ K1 i' c' p' => Rewrapped (K1 i c p) t
Instance details Defined in Control.Lens.Wrapped
t ~ Costar f' d' c' => Rewrapped (Costar f d c) t
Instance details Defined in Control.Lens.Wrapped
t ~ Forget r' a' b' => Rewrapped (Forget r a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ Star f' d' c' => Rewrapped (Star f d c) t
Instance details Defined in Control.Lens.Wrapped
t ~ ContT r' m' a' => Rewrapped (ContT r m a) t
Instance details Defined in Control.Lens.Wrapped
Rewrapped (QDiagram b v n m) (QDiagram b' v' n' m')
Instance details Defined in Diagrams.Core.Types
Rewrapped (SubMap b v n m) (SubMap b' v' n' m')
Instance details Defined in Diagrams.Core.Types
t ~ Compose f' g' a' => Rewrapped (Compose f g a) t
Instance details Defined in Control.Lens.Wrapped
t ~ (f' :.: g') p' => Rewrapped ((f :.: g) p) t
Instance details Defined in Control.Lens.Wrapped
t ~ M1 i' c' f' p' => Rewrapped (M1 i c f p) t
Instance details Defined in Control.Lens.Wrapped
t ~ Clown f' a' b' => Rewrapped (Clown f a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ Flip p' a' b' => Rewrapped (Flip p a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ Joker g' a' b' => Rewrapped (Joker g a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ WrappedBifunctor p' a' b' => Rewrapped (WrappedBifunctor p a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ WrappedArrow p' a' b' => Rewrapped (WrappedArrow p a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ Semi m' a' b' => Rewrapped (Semi m a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ WrappedCategory k' a' b' => Rewrapped (WrappedCategory k6 a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ Dual k' a' b' => Rewrapped (Dual k6 a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ RWST r' w' s' m' a' => Rewrapped (RWST r w s m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ RWST r' w' s' m' a' => Rewrapped (RWST r w s m a) t
Instance details Defined in Control.Lens.Wrapped
t ~ Tannen f' p' a' b' => Rewrapped (Tannen f p a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ Cayley f' p' a' b' => Rewrapped (Cayley f p a b) t
Instance details Defined in Control.Lens.Wrapped
t ~ Biff p' f' g' a' b' => Rewrapped (Biff p f g a b) t
Instance details Defined in Control.Lens.Wrapped

type family Unwrapped s Source #

Instances

Instances details

type Unwrapped NoMethodError
Instance details Defined in Control.Lens.Wrapped type Unwrapped NoMethodError = String
type Unwrapped PatternMatchFail
Instance details Defined in Control.Lens.Wrapped type Unwrapped PatternMatchFail = String
type Unwrapped RecConError
Instance details Defined in Control.Lens.Wrapped type Unwrapped RecConError = String
type Unwrapped RecSelError
Instance details Defined in Control.Lens.Wrapped type Unwrapped RecSelError = String
type Unwrapped RecUpdError
Instance details Defined in Control.Lens.Wrapped type Unwrapped RecUpdError = String
type Unwrapped TypeError
Instance details Defined in Control.Lens.Wrapped type Unwrapped TypeError = String
type Unwrapped All
Instance details Defined in Control.Lens.Wrapped type Unwrapped All = Bool
type Unwrapped Any
Instance details Defined in Control.Lens.Wrapped type Unwrapped Any = Bool
type Unwrapped Errno
Instance details Defined in Control.Lens.Wrapped type Unwrapped Errno = CInt
type Unwrapped CBool
Instance details Defined in Control.Lens.Wrapped type Unwrapped CBool = Word8
type Unwrapped CChar
Instance details Defined in Control.Lens.Wrapped type Unwrapped CChar = Int8
type Unwrapped CClock
Instance details Defined in Control.Lens.Wrapped type Unwrapped CClock = Int64
type Unwrapped CDouble
Instance details Defined in Control.Lens.Wrapped type Unwrapped CDouble = Double
type Unwrapped CFloat
Instance details Defined in Control.Lens.Wrapped type Unwrapped CFloat = Float
type Unwrapped CInt
Instance details Defined in Control.Lens.Wrapped type Unwrapped CInt = Int32
type Unwrapped CIntMax
Instance details Defined in Control.Lens.Wrapped type Unwrapped CIntMax = Int64
type Unwrapped CIntPtr
Instance details Defined in Control.Lens.Wrapped type Unwrapped CIntPtr = Int64
type Unwrapped CLLong
Instance details Defined in Control.Lens.Wrapped type Unwrapped CLLong = Int64
type Unwrapped CLong
Instance details Defined in Control.Lens.Wrapped type Unwrapped CLong = Int64
type Unwrapped CPtrdiff
Instance details Defined in Control.Lens.Wrapped type Unwrapped CPtrdiff = Int64
type Unwrapped CSChar
Instance details Defined in Control.Lens.Wrapped type Unwrapped CSChar = Int8
type Unwrapped CSUSeconds
Instance details Defined in Control.Lens.Wrapped type Unwrapped CSUSeconds = Int64
type Unwrapped CShort
Instance details Defined in Control.Lens.Wrapped type Unwrapped CShort = Int16
type Unwrapped CSigAtomic
Instance details Defined in Control.Lens.Wrapped type Unwrapped CSigAtomic = Int32
type Unwrapped CSize
Instance details Defined in Control.Lens.Wrapped type Unwrapped CSize = Word64
type Unwrapped CTime
Instance details Defined in Control.Lens.Wrapped type Unwrapped CTime = Int64
type Unwrapped CUChar
Instance details Defined in Control.Lens.Wrapped type Unwrapped CUChar = Word8
type Unwrapped CUInt
Instance details Defined in Control.Lens.Wrapped type Unwrapped CUInt = Word32
type Unwrapped CUIntMax
Instance details Defined in Control.Lens.Wrapped type Unwrapped CUIntMax = Word64
type Unwrapped CUIntPtr
Instance details Defined in Control.Lens.Wrapped type Unwrapped CUIntPtr = Word64
type Unwrapped CULLong
Instance details Defined in Control.Lens.Wrapped type Unwrapped CULLong = Word64
type Unwrapped CULong
Instance details Defined in Control.Lens.Wrapped type Unwrapped CULong = Word64
type Unwrapped CUSeconds
Instance details Defined in Control.Lens.Wrapped type Unwrapped CUSeconds = Word32
type Unwrapped CUShort
Instance details Defined in Control.Lens.Wrapped type Unwrapped CUShort = Word16
type Unwrapped CWchar
Instance details Defined in Control.Lens.Wrapped type Unwrapped CWchar = Int32
type Unwrapped ErrorCall
Instance details Defined in Control.Lens.Wrapped type Unwrapped ErrorCall = String
type Unwrapped AssertionFailed
Instance details Defined in Control.Lens.Wrapped type Unwrapped AssertionFailed = String
type Unwrapped CompactionFailed
Instance details Defined in Control.Lens.Wrapped type Unwrapped CompactionFailed = String
type Unwrapped CBlkCnt
Instance details Defined in Control.Lens.Wrapped type Unwrapped CBlkCnt = Int64
type Unwrapped CBlkSize
Instance details Defined in Control.Lens.Wrapped type Unwrapped CBlkSize = Int64
type Unwrapped CCc
Instance details Defined in Control.Lens.Wrapped type Unwrapped CCc = Word8
type Unwrapped CClockId
Instance details Defined in Control.Lens.Wrapped type Unwrapped CClockId = Int32
type Unwrapped CDev
Instance details Defined in Control.Lens.Wrapped type Unwrapped CDev = Word64
type Unwrapped CFsBlkCnt
Instance details Defined in Control.Lens.Wrapped type Unwrapped CFsBlkCnt = Word64
type Unwrapped CFsFilCnt
Instance details Defined in Control.Lens.Wrapped type Unwrapped CFsFilCnt = Word64
type Unwrapped CGid
Instance details Defined in Control.Lens.Wrapped type Unwrapped CGid = Word32
type Unwrapped CId
Instance details Defined in Control.Lens.Wrapped type Unwrapped CId = Word32
type Unwrapped CIno
Instance details Defined in Control.Lens.Wrapped type Unwrapped CIno = Word64
type Unwrapped CKey
Instance details Defined in Control.Lens.Wrapped type Unwrapped CKey = Int32
type Unwrapped CMode
Instance details Defined in Control.Lens.Wrapped type Unwrapped CMode = Word32
type Unwrapped CNlink
Instance details Defined in Control.Lens.Wrapped type Unwrapped CNlink = Word64
type Unwrapped COff
Instance details Defined in Control.Lens.Wrapped type Unwrapped COff = Int64
type Unwrapped CPid
Instance details Defined in Control.Lens.Wrapped type Unwrapped CPid = Int32
type Unwrapped CRLim
Instance details Defined in Control.Lens.Wrapped type Unwrapped CRLim = Word64
type Unwrapped CSpeed
Instance details Defined in Control.Lens.Wrapped type Unwrapped CSpeed = Word32
type Unwrapped CSsize
Instance details Defined in Control.Lens.Wrapped type Unwrapped CSsize = Int64
type Unwrapped CTcflag
Instance details Defined in Control.Lens.Wrapped type Unwrapped CTcflag = Word32
type Unwrapped CTimer
Instance details Defined in Control.Lens.Wrapped type Unwrapped CTimer = CUIntPtr
type Unwrapped CUid
Instance details Defined in Control.Lens.Wrapped type Unwrapped CUid = Word32
type Unwrapped Fd
Instance details Defined in Control.Lens.Wrapped type Unwrapped Fd = CInt
type Unwrapped IntSet
Instance details Defined in Control.Lens.Wrapped type Unwrapped IntSet = [Int]
type Unwrapped Name
Instance details Defined in Diagrams.Core.Names type Unwrapped Name = [AName]
type Unwrapped SegCount Source #
Instance details Defined in Diagrams.Segment type Unwrapped SegCount = Sum Int
type Unwrapped (Active a)
Instance details Defined in Data.Active type Unwrapped (Active a) = MaybeApply Dynamic a
type Unwrapped (Duration a)
Instance details Defined in Data.Active type Unwrapped (Duration a) = a
type Unwrapped (Time a)
Instance details Defined in Data.Active type Unwrapped (Time a) = a
type Unwrapped (ZipList a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (ZipList a) = [a]
type Unwrapped (Comparison a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Comparison a) = a -> a -> Ordering
type Unwrapped (Equivalence a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Equivalence a) = a -> a -> Bool
type Unwrapped (Predicate a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Predicate a) = a -> Bool
type Unwrapped (Identity a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Identity a) = a
type Unwrapped (First a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (First a) = Maybe a
type Unwrapped (Last a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Last a) = Maybe a
type Unwrapped (Down a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Down a) = a
type Unwrapped (First a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (First a) = a
type Unwrapped (Last a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Last a) = a
type Unwrapped (Max a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Max a) = a
type Unwrapped (Min a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Min a) = a
type Unwrapped (WrappedMonoid a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (WrappedMonoid a) = a
type Unwrapped (Dual a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Dual a) = a
type Unwrapped (Endo a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Endo a) = a -> a
type Unwrapped (Product a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Product a) = a
type Unwrapped (Sum a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Sum a) = a
type Unwrapped (NonEmpty a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (NonEmpty a) = (a, [a])
type Unwrapped (Par1 p)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Par1 p) = p
type Unwrapped (IntMap a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (IntMap a) = [(Int, a)]
type Unwrapped (Seq a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Seq a) = [a]
type Unwrapped (Set a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Set a) = [a]
type Unwrapped (TransInv t)
Instance details Defined in Diagrams.Core.Transform type Unwrapped (TransInv t) = t
type Unwrapped (ArcLength n) Source #
Instance details Defined in Diagrams.Segment type Unwrapped (ArcLength n) = (Sum (Interval n), n -> Sum (Interval n))
type Unwrapped (Clip n) Source #
Instance details Defined in Diagrams.TwoD.Path type Unwrapped (Clip n) = [Path V2 n]
type Unwrapped (HashSet a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (HashSet a) = [a]
type Unwrapped (Vector a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Vector a) = [a]
type Unwrapped (Vector a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Vector a) = [a]
type Unwrapped (Vector a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Vector a) = [a]
type Unwrapped (Vector a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Vector a) = [a]
type Unwrapped (WrappedMonad m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (WrappedMonad m a) = m a
type Unwrapped (ArrowMonad m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (ArrowMonad m a) = m () a
type Unwrapped (Op a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Op a b) = b -> a
type Unwrapped (Map k a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Map k a) = [(k, a)]
type Unwrapped (Envelope v n)
Instance details Defined in Diagrams.Core.Envelope type Unwrapped (Envelope v n) = Maybe (v n -> Max n)
type Unwrapped (Style v n)
Instance details Defined in Diagrams.Core.Style type Unwrapped (Style v n) = HashMap TypeRep (Attribute v n)
type Unwrapped (Trace v n)
Instance details Defined in Diagrams.Core.Trace type Unwrapped (Trace v n) = Point v n -> v n -> SortedList n
type Unwrapped (Path v n) Source #
Instance details Defined in Diagrams.Path type Unwrapped (Path v n) = [Located (Trail v n)]
type Unwrapped (TotalOffset v n) Source #
Instance details Defined in Diagrams.Segment type Unwrapped (TotalOffset v n) = v n
type Unwrapped (SegTree v n) Source #
Instance details Defined in Diagrams.Trail type Unwrapped (SegTree v n) = FingerTree (SegMeasure v n) (Segment Closed v n)
type Unwrapped (Trail v n) Source #
Instance details Defined in Diagrams.Trail type Unwrapped (Trail v n) = Either (Trail' Line v n) (Trail' Loop v n)
type Unwrapped (CatchT m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (CatchT m a) = m (Either SomeException a)
type Unwrapped (Alt f a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Alt f a) = [AltF f a]
type Unwrapped (CoiterT w a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (CoiterT w a) = w (a, CoiterT w a)
type Unwrapped (IterT m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (IterT m a) = m (Either a (IterT m a))
type Unwrapped (Point f a)
Instance details Defined in Linear.Affine type Unwrapped (Point f a) = f a
type Unwrapped (MaybeApply f a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (MaybeApply f a) = Either (f a) a
type Unwrapped (WrappedApplicative f a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (WrappedApplicative f a) = f a
type Unwrapped (MaybeT m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (MaybeT m a) = m (Maybe a)
type Unwrapped (HashMap k a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (HashMap k a) = [(k, a)]
type Unwrapped (WrappedArrow a b c)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (WrappedArrow a b c) = a b c
type Unwrapped (Kleisli m a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Kleisli m a b) = a -> m b
type Unwrapped (Const a x)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Const a x) = a
type Unwrapped (Ap f a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Ap f a) = f a
type Unwrapped (Alt f a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Alt f a) = f a
type Unwrapped (Rec1 f p)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Rec1 f p) = f p
type Unwrapped (Fix p a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Fix p a) = p (Fix p a) a
type Unwrapped (Join p a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Join p a) = p a a
type Unwrapped (TracedT m w a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (TracedT m w a) = w (m -> a)
type Unwrapped (Compose f g a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Compose f g a) = f (g a)
type Unwrapped (ComposeCF f g a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (ComposeCF f g a) = f (g a)
type Unwrapped (ComposeFC f g a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (ComposeFC f g a) = f (g a)
type Unwrapped (Query v n m)
Instance details Defined in Diagrams.Core.Query type Unwrapped (Query v n m) = Point v n -> m
type Unwrapped (Trail' Line v n) Source #
Instance details Defined in Diagrams.Trail type Unwrapped (Trail' Line v n) = SegTree v n
type Unwrapped (ApT f g a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (ApT f g a) = g (ApF f g a)
type Unwrapped (CofreeT f w a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (CofreeT f w a) = w (CofreeF f a (CofreeT f w a))
type Unwrapped (FreeT f m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (FreeT f m a) = m (FreeF f a (FreeT f m a))
type Unwrapped (Static f a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Static f a b) = f (a -> b)
type Unwrapped (Tagged s a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Tagged s a) = a
type Unwrapped (Backwards f a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Backwards f a) = f a
type Unwrapped (ExceptT e m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (ExceptT e m a) = m (Either e a)
type Unwrapped (IdentityT m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (IdentityT m a) = m a
type Unwrapped (ReaderT r m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (ReaderT r m a) = r -> m a
type Unwrapped (StateT s m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (StateT s m a) = s -> m (a, s)
type Unwrapped (StateT s m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (StateT s m a) = s -> m (a, s)
type Unwrapped (WriterT w m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (WriterT w m a) = m (a, w)
type Unwrapped (WriterT w m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (WriterT w m a) = m (a, w)
type Unwrapped (Constant a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Constant a b) = a
type Unwrapped (Reverse f a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Reverse f a) = f a
type Unwrapped (K1 i c p)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (K1 i c p) = c
type Unwrapped (QDiagram b v n m)
Instance details Defined in Diagrams.Core.Types type Unwrapped (QDiagram b v n m) = DUALTree (DownAnnots v n) (UpAnnots b v n m) Annotation (QDiaLeaf b v n m)
type Unwrapped (SubMap b v n m)
Instance details Defined in Diagrams.Core.Types type Unwrapped (SubMap b v n m) = Map Name [Subdiagram b v n m]
type Unwrapped (Costar f d c)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Costar f d c) = f d -> c
type Unwrapped (Forget r a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Forget r a b) = a -> r
type Unwrapped (Star f d c)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Star f d c) = d -> f c
type Unwrapped (ContT r m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (ContT r m a) = (a -> m r) -> m r
type Unwrapped (Compose f g a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Compose f g a) = f (g a)
type Unwrapped ((f :.: g) p)
Instance details Defined in Control.Lens.Wrapped type Unwrapped ((f :.: g) p) = f (g p)
type Unwrapped (M1 i c f p)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (M1 i c f p) = f p
type Unwrapped (Clown f a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Clown f a b) = f a
type Unwrapped (Flip p a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Flip p a b) = p b a
type Unwrapped (Joker g a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Joker g a b) = g b
type Unwrapped (WrappedBifunctor p a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (WrappedBifunctor p a b) = p a b
type Unwrapped (WrappedArrow p a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (WrappedArrow p a b) = p a b
type Unwrapped (Semi m a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Semi m a b) = m
type Unwrapped (WrappedCategory k3 a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (WrappedCategory k3 a b) = k3 a b
type Unwrapped (Dual k3 a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Dual k3 a b) = k3 b a
type Unwrapped (RWST r w s m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (RWST r w s m a) = r -> s -> m (a, s, w)
type Unwrapped (RWST r w s m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (RWST r w s m a) = r -> s -> m (a, s, w)
type Unwrapped (Tannen f p a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Tannen f p a b) = f (p a b)
type Unwrapped (Cayley f p a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Cayley f p a b) = f (p a b)
type Unwrapped (Biff p f g a b)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Biff p f g a b) = p (f a) (g b)

class (Magnified m ~ Magnified n, MonadReader b m, MonadReader a n) => Magnify (m :: Type -> Type) (n :: Type -> Type) b a | m -> b, n -> a, m a -> n, n b -> m where Source #

This class allows us to use magnify part of the environment, changing the environment supplied by many different Monad transformers. Unlike zoom this can change the environment of a deeply nested Monad transformer.

Also, unlike zoom, this can be used with any valid Getter, but cannot be used with a Traversal or Fold.

Methods

magnify :: ((Functor (Magnified m c), Contravariant (Magnified m c)) => LensLike' (Magnified m c) a b) -> m c -> n c infixr 2 Source #

Run a monadic action in a larger environment than it was defined in, using a Getter.

This acts like local, but can in many cases change the type of the environment as well.

This is commonly used to lift actions in a simpler Reader Monad into a Monad with a larger environment type.

This can be used to edit pretty much any Monad transformer stack with an environment in it:

>>> (1,2) & magnify _2 (+1)
3

>>> flip Reader.runReader (1,2) $ magnify _1 Reader.ask
1

>>> flip Reader.runReader (1,2,[10..20]) $ magnify (_3._tail) Reader.ask
[11,12,13,14,15,16,17,18,19,20]

The type can be read as

  magnify :: LensLike' (Magnified m c) a b -> m c -> n c

but the higher-rank constraints make it easier to apply magnify to a Getter in highly-polymorphic code.

magnify :: Getter s a -> (a -> r) -> s -> r
magnify :: Monoid r => Fold s a   -> (a -> r) -> s -> r

magnify :: Monoid w                 => Getter s t -> RWS t w st c -> RWS s w st c
magnify :: (Monoid w, Monoid c) => Fold s a   -> RWS a w st c -> RWS s w st c
...

Instances

Instances details

Magnify m n b a => Magnify (IdentityT m) (IdentityT n) b a
Instance details Defined in Control.Lens.Zoom Methods magnify :: ((Functor (Magnified (IdentityT m) c), Contravariant (Magnified (IdentityT m) c)) => LensLike' (Magnified (IdentityT m) c) a b) -> IdentityT m c -> IdentityT n c Source #
Monad m => Magnify (ReaderT b m) (ReaderT a m) b a
Instance details Defined in Control.Lens.Zoom Methods magnify :: ((Functor (Magnified (ReaderT b m) c), Contravariant (Magnified (ReaderT b m) c)) => LensLike' (Magnified (ReaderT b m) c) a b) -> ReaderT b m c -> ReaderT a m c Source #
Magnify ((->) b) ((->) a) b a	`magnify` = `views`
Instance details Defined in Control.Lens.Zoom Methods magnify :: ((Functor (Magnified ((->) b) c), Contravariant (Magnified ((->) b) c)) => LensLike' (Magnified ((->) b) c) a b) -> (b -> c) -> a -> c Source #
(Monad m, Monoid w) => Magnify (RWST b w s m) (RWST a w s m) b a
Instance details Defined in Control.Lens.Zoom Methods magnify :: ((Functor (Magnified (RWST b w s m) c), Contravariant (Magnified (RWST b w s m) c)) => LensLike' (Magnified (RWST b w s m) c) a b) -> RWST b w s m c -> RWST a w s m c Source #
(Monad m, Monoid w) => Magnify (RWST b w s m) (RWST a w s m) b a
Instance details Defined in Control.Lens.Zoom Methods magnify :: ((Functor (Magnified (RWST b w s m) c), Contravariant (Magnified (RWST b w s m) c)) => LensLike' (Magnified (RWST b w s m) c) a b) -> RWST b w s m c -> RWST a w s m c Source #

type family Magnified (m :: Type -> Type) :: Type -> Type -> Type Source #

This type family is used by Magnify to describe the common effect type.

Instances

Instances details

type Magnified (IdentityT m)
Instance details Defined in Control.Lens.Zoom type Magnified (IdentityT m) = Magnified m
type Magnified (ReaderT b m)
Instance details Defined in Control.Lens.Zoom type Magnified (ReaderT b m) = Effect m
type Magnified ((->) b)
Instance details Defined in Control.Lens.Zoom type Magnified ((->) b) = Const :: Type -> Type -> Type
type Magnified (RWST a w s m)
Instance details Defined in Control.Lens.Zoom type Magnified (RWST a w s m) = EffectRWS w s m
type Magnified (RWST a w s m)
Instance details Defined in Control.Lens.Zoom type Magnified (RWST a w s m) = EffectRWS w s m

type family Zoomed (m :: Type -> Type) :: Type -> Type -> Type Source #

This type family is used by Zoom to describe the common effect type.

Instances

Instances details

type Zoomed (MaybeT m)
Instance details Defined in Control.Lens.Zoom type Zoomed (MaybeT m) = FocusingMay (Zoomed m)
type Zoomed (FreeT f m)
Instance details Defined in Control.Lens.Zoom type Zoomed (FreeT f m) = FocusingFree f m (Zoomed m)
type Zoomed (ExceptT e m)
Instance details Defined in Control.Lens.Zoom type Zoomed (ExceptT e m) = FocusingErr e (Zoomed m)
type Zoomed (IdentityT m)
Instance details Defined in Control.Lens.Zoom type Zoomed (IdentityT m) = Zoomed m
type Zoomed (ReaderT e m)
Instance details Defined in Control.Lens.Zoom type Zoomed (ReaderT e m) = Zoomed m
type Zoomed (StateT s z)
Instance details Defined in Control.Lens.Zoom type Zoomed (StateT s z) = Focusing z
type Zoomed (StateT s z)
Instance details Defined in Control.Lens.Zoom type Zoomed (StateT s z) = Focusing z
type Zoomed (WriterT w m)
Instance details Defined in Control.Lens.Zoom type Zoomed (WriterT w m) = FocusingPlus w (Zoomed m)
type Zoomed (WriterT w m)
Instance details Defined in Control.Lens.Zoom type Zoomed (WriterT w m) = FocusingPlus w (Zoomed m)
type Zoomed (RWST r w s z)
Instance details Defined in Control.Lens.Zoom type Zoomed (RWST r w s z) = FocusingWith w z
type Zoomed (RWST r w s z)
Instance details Defined in Control.Lens.Zoom type Zoomed (RWST r w s z) = FocusingWith w z

class GPlated1 (f :: k -> Type) (g :: k -> Type) Source #

Minimal complete definition

gplate1'

Instances

Instances details

GPlated1 (f :: Type -> Type) Par1	ignored
Instance details Defined in Control.Lens.Plated Methods gplate1' :: forall (a :: k). Traversal' (Par1 a) (f a)
GPlated1 (f :: k -> Type) (U1 :: k -> Type)	ignored
Instance details Defined in Control.Lens.Plated Methods gplate1' :: forall (a :: k0). Traversal' (U1 a) (f a)
GPlated1 (f :: k -> Type) (V1 :: k -> Type)	ignored
Instance details Defined in Control.Lens.Plated Methods gplate1' :: forall (a :: k0). Traversal' (V1 a) (f a)
GPlated1 (f :: k -> Type) (Rec1 f :: k -> Type)	match
Instance details Defined in Control.Lens.Plated Methods gplate1' :: forall (a :: k0). Traversal' (Rec1 f a) (f a)
GPlated1 (f :: k -> Type) (Rec1 g :: k -> Type)	ignored
Instance details Defined in Control.Lens.Plated Methods gplate1' :: forall (a :: k0). Traversal' (Rec1 g a) (f a)
GPlated1 (f :: k -> Type) (URec a :: k -> Type)	ignored
Instance details Defined in Control.Lens.Plated Methods gplate1' :: forall (a0 :: k0). Traversal' (URec a a0) (f a0)
(GPlated1 f g, GPlated1 f h) => GPlated1 (f :: k -> Type) (g :*: h :: k -> Type)	recursive match
Instance details Defined in Control.Lens.Plated Methods gplate1' :: forall (a :: k0). Traversal' ((g :*: h) a) (f a)
(GPlated1 f g, GPlated1 f h) => GPlated1 (f :: k -> Type) (g :+: h :: k -> Type)	recursive match
Instance details Defined in Control.Lens.Plated Methods gplate1' :: forall (a :: k0). Traversal' ((g :+: h) a) (f a)
GPlated1 (f :: k -> Type) (K1 i a :: k -> Type)	ignored
Instance details Defined in Control.Lens.Plated Methods gplate1' :: forall (a0 :: k0). Traversal' (K1 i a a0) (f a0)
GPlated1 f g => GPlated1 (f :: k -> Type) (M1 i c g :: k -> Type)	recursive match
Instance details Defined in Control.Lens.Plated Methods gplate1' :: forall (a :: k0). Traversal' (M1 i c g a) (f a)
(Traversable t, GPlated1 f g) => GPlated1 (f :: k1 -> Type) (t :.: g :: k1 -> Type)	recursive match under outer `Traversable` instance
Instance details Defined in Control.Lens.Plated Methods gplate1' :: forall (a :: k). Traversal' ((t :.: g) a) (f a)

class GPlated a (g :: k -> Type) Source #

Minimal complete definition

gplate'

Instances

Instances details

GPlated a (U1 :: k -> Type)
Instance details Defined in Control.Lens.Plated Methods gplate' :: forall (p :: k0). Traversal' (U1 p) a
GPlated a (V1 :: k -> Type)
Instance details Defined in Control.Lens.Plated Methods gplate' :: forall (p :: k0). Traversal' (V1 p) a
GPlated a (URec b :: k -> Type)
Instance details Defined in Control.Lens.Plated Methods gplate' :: forall (p :: k0). Traversal' (URec b p) a
(GPlated a f, GPlated a g) => GPlated a (f :*: g :: k -> Type)
Instance details Defined in Control.Lens.Plated Methods gplate' :: forall (p :: k0). Traversal' ((f :*: g) p) a
(GPlated a f, GPlated a g) => GPlated a (f :+: g :: k -> Type)
Instance details Defined in Control.Lens.Plated Methods gplate' :: forall (p :: k0). Traversal' ((f :+: g) p) a
GPlated a (K1 i a :: k -> Type)
Instance details Defined in Control.Lens.Plated Methods gplate' :: forall (p :: k0). Traversal' (K1 i a p) a
GPlated a (K1 i b :: k -> Type)
Instance details Defined in Control.Lens.Plated Methods gplate' :: forall (p :: k0). Traversal' (K1 i b p) a
GPlated a f => GPlated a (M1 i c f :: k -> Type)
Instance details Defined in Control.Lens.Plated Methods gplate' :: forall (p :: k0). Traversal' (M1 i c f p) a

class Plated a where Source #

A Plated type is one where we know how to extract its immediate self-similar children.

Example 1:

import Control.Applicative
import Control.Lens
import Control.Lens.Plated
import Data.Data
import Data.Data.Lens (uniplate)

data Expr
  = Val Int
  | Neg Expr
  | Add Expr Expr
  deriving (Eq,Ord,Show,Read,Data)

instance Plated Expr where
  plate f (Neg e) = Neg <$> f e
  plate f (Add a b) = Add <$> f a <*> f b
  plate _ a = pure a

or

instance Plated Expr where
  plate = uniplate

Example 2:

import Control.Applicative
import Control.Lens
import Control.Lens.Plated
import Data.Data
import Data.Data.Lens (uniplate)

data Tree a
  = Bin (Tree a) (Tree a)
  | Tip a
  deriving (Eq,Ord,Show,Read,Data)

instance Plated (Tree a) where
  plate f (Bin l r) = Bin <$> f l <*> f r
  plate _ t = pure t

or

instance Data a => Plated (Tree a) where
  plate = uniplate

Note the big distinction between these two implementations.

The former will only treat children directly in this tree as descendents, the latter will treat trees contained in the values under the tips also as descendants!

When in doubt, pick a Traversal and just use the various ...Of combinators rather than pollute Plated with orphan instances!

If you want to find something unplated and non-recursive with biplate use the ...OnOf variant with ignored, though those usecases are much better served in most cases by using the existing Lens combinators! e.g.

toListOf biplate ≡ universeOnOf biplate ignored

This same ability to explicitly pass the Traversal in question is why there is no analogue to uniplate's Biplate.

Moreover, since we can allow custom traversals, we implement reasonable defaults for polymorphic data types, that only traverse into themselves, and not their polymorphic arguments.

Minimal complete definition

Nothing

Methods

plate :: Traversal' a a Source #

Traversal of the immediate children of this structure.

If you're using GHC 7.2 or newer and your type has a Data instance, plate will default to uniplate and you can choose to not override it with your own definition.

Instances

Instances details

Plated Con
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' Con Con Source #
Plated Dec
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' Dec Dec Source #
Plated Exp
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' Exp Exp Source #
Plated Pat
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' Pat Pat Source #
Plated Stmt
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' Stmt Stmt Source #
Plated Type
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' Type Type Source #
Plated (Tree a)
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' (Tree a) (Tree a) Source #
Plated [a]
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' [a] [a] Source #
Traversable f => Plated (Cofree f a)
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' (Cofree f a) (Cofree f a) Source #
Traversable f => Plated (Free f a)
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' (Free f a) (Free f a) Source #
Traversable f => Plated (F f a)
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' (F f a) (F f a) Source #
(Traversable f, Traversable w) => Plated (CofreeT f w a)
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' (CofreeT f w a) (CofreeT f w a) Source #
(Traversable f, Traversable m) => Plated (FreeT f m a)
Instance details Defined in Control.Lens.Plated Methods plate :: Traversal' (FreeT f m a) (FreeT f m a) Source #

class Each s t a b | s -> a, t -> b, s b -> t, t a -> s where Source #

Extract each element of a (potentially monomorphic) container.

Notably, when applied to a tuple, this generalizes both to arbitrary homogeneous tuples.

>>> (1,2,3) & each *~ 10
(10,20,30)

It can also be used on monomorphic containers like Text or ByteString.

>>> over each Char.toUpper ("hello"^.Text.packed)
"HELLO"

>>> ("hello","world") & each.each %~ Char.toUpper
("HELLO","WORLD")

Minimal complete definition

Nothing

Methods

each :: Traversal s t a b Source #

Instances

Instances details

(a ~ Word8, b ~ Word8) => Each ByteString ByteString a b	`each` :: `Traversal` `ByteString` `ByteString` `Word8` `Word8`
Instance details Defined in Control.Lens.Each Methods each :: Traversal ByteString ByteString a b Source #
(a ~ Word8, b ~ Word8) => Each ByteString ByteString a b	`each` :: `Traversal` `ByteString` `ByteString` `Word8` `Word8`
Instance details Defined in Control.Lens.Each Methods each :: Traversal ByteString ByteString a b Source #
Each Name Name AName AName
Instance details Defined in Diagrams.Core.Names Methods each :: Traversal Name Name AName AName Source #
(a ~ Char, b ~ Char) => Each Text Text a b	`each` :: `Traversal` `Text` `Text` `Char` `Char`
Instance details Defined in Control.Lens.Each Methods each :: Traversal Text Text a b Source #
(a ~ Char, b ~ Char) => Each Text Text a b	`each` :: `Traversal` `Text` `Text` `Char` `Char`
Instance details Defined in Control.Lens.Each Methods each :: Traversal Text Text a b Source #
Each (Complex a) (Complex b) a b	`each` :: (`RealFloat` a, `RealFloat` b) => `Traversal` (`Complex` a) (`Complex` b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Complex a) (Complex b) a b Source #
Each (Identity a) (Identity b) a b	`each` :: `Traversal` (`Identity` a) (`Identity` b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Identity a) (Identity b) a b Source #
Each (NonEmpty a) (NonEmpty b) a b	`each` :: `Traversal` (NonEmpty a) (NonEmpty b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (NonEmpty a) (NonEmpty b) a b Source #
Each (IntMap a) (IntMap b) a b	`each` :: `Traversal` (`Map` c a) (`Map` c b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (IntMap a) (IntMap b) a b Source #
Each (Seq a) (Seq b) a b	`each` :: `Traversal` (`Seq` a) (`Seq` b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Seq a) (Seq b) a b Source #
Each (Tree a) (Tree b) a b	`each` :: `Traversal` (`Tree` a) (`Tree` b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Tree a) (Tree b) a b Source #
Each (Plucker a) (Plucker b) a b
Instance details Defined in Linear.Plucker Methods each :: Traversal (Plucker a) (Plucker b) a b Source #
Each (Quaternion a) (Quaternion b) a b
Instance details Defined in Linear.Quaternion Methods each :: Traversal (Quaternion a) (Quaternion b) a b Source #
Each (V0 a) (V0 b) a b
Instance details Defined in Linear.V0 Methods each :: Traversal (V0 a) (V0 b) a b Source #
Each (V1 a) (V1 b) a b
Instance details Defined in Linear.V1 Methods each :: Traversal (V1 a) (V1 b) a b Source #
Each (V2 a) (V2 b) a b
Instance details Defined in Linear.V2 Methods each :: Traversal (V2 a) (V2 b) a b Source #
Each (V3 a) (V3 b) a b
Instance details Defined in Linear.V3 Methods each :: Traversal (V3 a) (V3 b) a b Source #
Each (V4 a) (V4 b) a b
Instance details Defined in Linear.V4 Methods each :: Traversal (V4 a) (V4 b) a b Source #
Each (Maybe a) (Maybe b) a b	Since: lens-4.20
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Maybe a) (Maybe b) a b Source #
Each (Vector a) (Vector b) a b	`each` :: `Traversal` (`Vector` a) (`Vector` b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Vector a) (Vector b) a b Source #
(Prim a, Prim b) => Each (Vector a) (Vector b) a b	`each` :: (`Prim` a, `Prim` b) => `Traversal` (`Vector` a) (`Vector` b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Vector a) (Vector b) a b Source #
(Storable a, Storable b) => Each (Vector a) (Vector b) a b	`each` :: (`Storable` a, `Storable` b) => `Traversal` (`Vector` a) (`Vector` b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Vector a) (Vector b) a b Source #
(Unbox a, Unbox b) => Each (Vector a) (Vector b) a b	`each` :: (`Unbox` a, `Unbox` b) => `Traversal` (`Vector` a) (`Vector` b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Vector a) (Vector b) a b Source #
Each (Maybe a) (Maybe b) a b	`each` :: `Traversal` (`Maybe` a) (`Maybe` b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Maybe a) (Maybe b) a b Source #
Each [a] [b] a b	`each` :: `Traversal` [a] [b] a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal [a] [b] a b Source #
(Ix i, IArray UArray a, IArray UArray b, i ~ j) => Each (UArray i a) (UArray j b) a b	`each` :: (`Ix` i, `IArray` `UArray` a, `IArray` `UArray` b) => `Traversal` (`Array` i a) (`Array` i b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (UArray i a) (UArray j b) a b Source #
(a ~ a', b ~ b') => Each (Either a a') (Either b b') a b	`each` :: `Traversal` (`Either` a a) (`Either` b b) a b Since: lens-4.18
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Either a a') (Either b b') a b Source #
(Ix i, i ~ j) => Each (Array i a) (Array j b) a b	`each` :: `Ix` i => `Traversal` (`Array` i a) (`Array` i b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Array i a) (Array j b) a b Source #
c ~ d => Each (Map c a) (Map d b) a b	`each` :: `Traversal` (`Map` c a) (`Map` c b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Map c a) (Map d b) a b Source #
Traversable f => Each (Point f a) (Point f b) a b
Instance details Defined in Linear.Affine Methods each :: Traversal (Point f a) (Point f b) a b Source #
(a ~ a', b ~ b') => Each (Either a a') (Either b b') a b	Since: lens-4.20
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Either a a') (Either b b') a b Source #
(a ~ a', b ~ b') => Each (These a a') (These b b') a b	Since: lens-4.20
Instance details Defined in Control.Lens.Each Methods each :: Traversal (These a a') (These b b') a b Source #
(a ~ a', b ~ b') => Each (Pair a a') (Pair b b') a b	Since: lens-4.20
Instance details Defined in Control.Lens.Each Methods each :: Traversal (Pair a a') (Pair b b') a b Source #
(a ~ a', b ~ b') => Each (These a a') (These b b') a b	Since: lens-4.20
Instance details Defined in Control.Lens.Each Methods each :: Traversal (These a a') (These b b') a b Source #
c ~ d => Each (HashMap c a) (HashMap d b) a b	`each` :: `Traversal` (`HashMap` c a) (`HashMap` c b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (HashMap c a) (HashMap d b) a b Source #
(a ~ a', b ~ b') => Each (a, a') (b, b') a b	`each` :: `Traversal` (a,a) (b,b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (a, a') (b, b') a b Source #
Each (Path v n) (Path v' n') (Located (Trail v n)) (Located (Trail v' n')) Source #
Instance details Defined in Diagrams.Path Methods each :: Traversal (Path v n) (Path v' n') (Located (Trail v n)) (Located (Trail v' n')) Source #
Each (Style v n) (Style v' n') (Attribute v n) (Attribute v' n')
Instance details Defined in Diagrams.Core.Style Methods each :: Traversal (Style v n) (Style v' n') (Attribute v n) (Attribute v' n') Source #
(Additive v', Foldable v', Ord n') => Each (BoundingBox v n) (BoundingBox v' n') (Point v n) (Point v' n') Source #	Only valid if the second point is not smaller than the first.
Instance details Defined in Diagrams.BoundingBox Methods each :: Traversal (BoundingBox v n) (BoundingBox v' n') (Point v n) (Point v' n') Source #
Each (FixedSegment v n) (FixedSegment v' n') (Point v n) (Point v' n') Source #
Instance details Defined in Diagrams.Segment Methods each :: Traversal (FixedSegment v n) (FixedSegment v' n') (Point v n) (Point v' n') Source #
Each (V n a) (V n b) a b
Instance details Defined in Linear.V Methods each :: Traversal (V n a) (V n b) a b Source #
(a ~ a2, a ~ a3, b ~ b2, b ~ b3) => Each (a, a2, a3) (b, b2, b3) a b	`each` :: `Traversal` (a,a,a) (b,b,b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (a, a2, a3) (b, b2, b3) a b Source #
Each (Offset c v n) (Offset c v' n') (v n) (v' n') Source #
Instance details Defined in Diagrams.Segment Methods each :: Traversal (Offset c v n) (Offset c v' n') (v n) (v' n') Source #
Each (Segment c v n) (Segment c v' n') (v n) (v' n') Source #
Instance details Defined in Diagrams.Segment Methods each :: Traversal (Segment c v n) (Segment c v' n') (v n) (v' n') Source #
(a ~ a2, a ~ a3, a ~ a4, b ~ b2, b ~ b3, b ~ b4) => Each (a, a2, a3, a4) (b, b2, b3, b4) a b	`each` :: `Traversal` (a,a,a,a) (b,b,b,b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (a, a2, a3, a4) (b, b2, b3, b4) a b Source #
(a ~ a2, a ~ a3, a ~ a4, a ~ a5, b ~ b2, b ~ b3, b ~ b4, b ~ b5) => Each (a, a2, a3, a4, a5) (b, b2, b3, b4, b5) a b	`each` :: `Traversal` (a,a,a,a,a) (b,b,b,b,b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (a, a2, a3, a4, a5) (b, b2, b3, b4, b5) a b Source #
(a ~ a2, a ~ a3, a ~ a4, a ~ a5, a ~ a6, b ~ b2, b ~ b3, b ~ b4, b ~ b5, b ~ b6) => Each (a, a2, a3, a4, a5, a6) (b, b2, b3, b4, b5, b6) a b	`each` :: `Traversal` (a,a,a,a,a,a) (b,b,b,b,b,b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (a, a2, a3, a4, a5, a6) (b, b2, b3, b4, b5, b6) a b Source #
(a ~ a2, a ~ a3, a ~ a4, a ~ a5, a ~ a6, a ~ a7, b ~ b2, b ~ b3, b ~ b4, b ~ b5, b ~ b6, b ~ b7) => Each (a, a2, a3, a4, a5, a6, a7) (b, b2, b3, b4, b5, b6, b7) a b	`each` :: `Traversal` (a,a,a,a,a,a,a) (b,b,b,b,b,b,b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (a, a2, a3, a4, a5, a6, a7) (b, b2, b3, b4, b5, b6, b7) a b Source #
(a ~ a2, a ~ a3, a ~ a4, a ~ a5, a ~ a6, a ~ a7, a ~ a8, b ~ b2, b ~ b3, b ~ b4, b ~ b5, b ~ b6, b ~ b7, b ~ b8) => Each (a, a2, a3, a4, a5, a6, a7, a8) (b, b2, b3, b4, b5, b6, b7, b8) a b	`each` :: `Traversal` (a,a,a,a,a,a,a,a) (b,b,b,b,b,b,b,b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (a, a2, a3, a4, a5, a6, a7, a8) (b, b2, b3, b4, b5, b6, b7, b8) a b Source #
(a ~ a2, a ~ a3, a ~ a4, a ~ a5, a ~ a6, a ~ a7, a ~ a8, a ~ a9, b ~ b2, b ~ b3, b ~ b4, b ~ b5, b ~ b6, b ~ b7, b ~ b8, b ~ b9) => Each (a, a2, a3, a4, a5, a6, a7, a8, a9) (b, b2, b3, b4, b5, b6, b7, b8, b9) a b	`each` :: `Traversal` (a,a,a,a,a,a,a,a,a) (b,b,b,b,b,b,b,b,b) a b
Instance details Defined in Control.Lens.Each Methods each :: Traversal (a, a2, a3, a4, a5, a6, a7, a8, a9) (b, b2, b3, b4, b5, b6, b7, b8, b9) a b Source #

class Ixed m => At m Source #

At provides a Lens that can be used to read, write or delete the value associated with a key in a Map-like container on an ad hoc basis.

An instance of At should satisfy:

ix k ≡ at k . traverse

Minimal complete definition

at

Instances

Instances details

At IntSet
Instance details Defined in Control.Lens.At Methods at :: Index IntSet -> Lens' IntSet (Maybe (IxValue IntSet)) Source #
At (IntMap a)
Instance details Defined in Control.Lens.At Methods at :: Index (IntMap a) -> Lens' (IntMap a) (Maybe (IxValue (IntMap a))) Source #
Ord k => At (Set k)
Instance details Defined in Control.Lens.At Methods at :: Index (Set k) -> Lens' (Set k) (Maybe (IxValue (Set k))) Source #
(Eq k, Hashable k) => At (HashSet k)
Instance details Defined in Control.Lens.At Methods at :: Index (HashSet k) -> Lens' (HashSet k) (Maybe (IxValue (HashSet k))) Source #
At (Maybe a)
Instance details Defined in Control.Lens.At Methods at :: Index (Maybe a) -> Lens' (Maybe a) (Maybe (IxValue (Maybe a))) Source #
Ord k => At (Map k a)
Instance details Defined in Control.Lens.At Methods at :: Index (Map k a) -> Lens' (Map k a) (Maybe (IxValue (Map k a))) Source #
At (Style v n)
Instance details Defined in Diagrams.Core.Style Methods at :: Index (Style v n) -> Lens' (Style v n) (Maybe (IxValue (Style v n))) Source #
(Eq k, Hashable k) => At (HashMap k a)
Instance details Defined in Control.Lens.At Methods at :: Index (HashMap k a) -> Lens' (HashMap k a) (Maybe (IxValue (HashMap k a))) Source #

class Ixed m where Source #

Provides a simple Traversal lets you traverse the value at a given key in a Map or element at an ordinal position in a list or Seq.

Minimal complete definition

Nothing

Methods

ix :: Index m -> Traversal' m (IxValue m) Source #

NB: Setting the value of this Traversal will only set the value in at if it is already present.

If you want to be able to insert missing values, you want at.

>>> Seq.fromList [a,b,c,d] & ix 2 %~ f
fromList [a,b,f c,d]

>>> Seq.fromList [a,b,c,d] & ix 2 .~ e
fromList [a,b,e,d]

>>> Seq.fromList [a,b,c,d] ^? ix 2
Just c

>>> Seq.fromList [] ^? ix 2
Nothing

Instances

Instances details

Ixed ByteString
Instance details Defined in Control.Lens.At Methods ix :: Index ByteString -> Traversal' ByteString (IxValue ByteString) Source #
Ixed ByteString
Instance details Defined in Control.Lens.At Methods ix :: Index ByteString -> Traversal' ByteString (IxValue ByteString) Source #
Ixed IntSet
Instance details Defined in Control.Lens.At Methods ix :: Index IntSet -> Traversal' IntSet (IxValue IntSet) Source #
Ixed Text
Instance details Defined in Control.Lens.At Methods ix :: Index Text -> Traversal' Text (IxValue Text) Source #
Ixed Text
Instance details Defined in Control.Lens.At Methods ix :: Index Text -> Traversal' Text (IxValue Text) Source #
Ixed (Identity a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Identity a) -> Traversal' (Identity a) (IxValue (Identity a)) Source #
Ixed (NonEmpty a)
Instance details Defined in Control.Lens.At Methods ix :: Index (NonEmpty a) -> Traversal' (NonEmpty a) (IxValue (NonEmpty a)) Source #
Ixed (IntMap a)
Instance details Defined in Control.Lens.At Methods ix :: Index (IntMap a) -> Traversal' (IntMap a) (IxValue (IntMap a)) Source #
Ixed (Seq a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Seq a) -> Traversal' (Seq a) (IxValue (Seq a)) Source #
Ord k => Ixed (Set k)
Instance details Defined in Control.Lens.At Methods ix :: Index (Set k) -> Traversal' (Set k) (IxValue (Set k)) Source #
Ixed (Tree a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Tree a) -> Traversal' (Tree a) (IxValue (Tree a)) Source #
Ixed (Plucker a)
Instance details Defined in Linear.Plucker Methods ix :: Index (Plucker a) -> Traversal' (Plucker a) (IxValue (Plucker a)) Source #
Ixed (Quaternion a)
Instance details Defined in Linear.Quaternion Methods ix :: Index (Quaternion a) -> Traversal' (Quaternion a) (IxValue (Quaternion a)) Source #
Ixed (V0 a)
Instance details Defined in Linear.V0 Methods ix :: Index (V0 a) -> Traversal' (V0 a) (IxValue (V0 a)) Source #
Ixed (V1 a)
Instance details Defined in Linear.V1 Methods ix :: Index (V1 a) -> Traversal' (V1 a) (IxValue (V1 a)) Source #
Ixed (V2 a)
Instance details Defined in Linear.V2 Methods ix :: Index (V2 a) -> Traversal' (V2 a) (IxValue (V2 a)) Source #
Ixed (V3 a)
Instance details Defined in Linear.V3 Methods ix :: Index (V3 a) -> Traversal' (V3 a) (IxValue (V3 a)) Source #
Ixed (V4 a)
Instance details Defined in Linear.V4 Methods ix :: Index (V4 a) -> Traversal' (V4 a) (IxValue (V4 a)) Source #
(Eq k, Hashable k) => Ixed (HashSet k)
Instance details Defined in Control.Lens.At Methods ix :: Index (HashSet k) -> Traversal' (HashSet k) (IxValue (HashSet k)) Source #
Ixed (Vector a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Vector a) -> Traversal' (Vector a) (IxValue (Vector a)) Source #
Prim a => Ixed (Vector a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Vector a) -> Traversal' (Vector a) (IxValue (Vector a)) Source #
Storable a => Ixed (Vector a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Vector a) -> Traversal' (Vector a) (IxValue (Vector a)) Source #
Unbox a => Ixed (Vector a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Vector a) -> Traversal' (Vector a) (IxValue (Vector a)) Source #
Ixed (Maybe a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Maybe a) -> Traversal' (Maybe a) (IxValue (Maybe a)) Source #
Ixed [a]
Instance details Defined in Control.Lens.At Methods ix :: Index [a] -> Traversal' [a] (IxValue [a]) Source #
(IArray UArray e, Ix i) => Ixed (UArray i e)	arr `!` i ≡ arr `^.` `ix` i arr `//` [(i,e)] ≡ `ix` i `.~` e `$` arr
Instance details Defined in Control.Lens.At Methods ix :: Index (UArray i e) -> Traversal' (UArray i e) (IxValue (UArray i e)) Source #
Ix i => Ixed (Array i e)	arr `!` i ≡ arr `^.` `ix` i arr `//` [(i,e)] ≡ `ix` i `.~` e `$` arr
Instance details Defined in Control.Lens.At Methods ix :: Index (Array i e) -> Traversal' (Array i e) (IxValue (Array i e)) Source #
Ord k => Ixed (Map k a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Map k a) -> Traversal' (Map k a) (IxValue (Map k a)) Source #
Ixed (Style v n)
Instance details Defined in Diagrams.Core.Style Methods ix :: Index (Style v n) -> Traversal' (Style v n) (IxValue (Style v n)) Source #
Ixed (f a) => Ixed (Point f a)
Instance details Defined in Linear.Affine Methods ix :: Index (Point f a) -> Traversal' (Point f a) (IxValue (Point f a)) Source #
(Eq k, Hashable k) => Ixed (HashMap k a)
Instance details Defined in Control.Lens.At Methods ix :: Index (HashMap k a) -> Traversal' (HashMap k a) (IxValue (HashMap k a)) Source #
a ~ a2 => Ixed (a, a2)
Instance details Defined in Control.Lens.At Methods ix :: Index (a, a2) -> Traversal' (a, a2) (IxValue (a, a2)) Source #
Eq e => Ixed (e -> a)
Instance details Defined in Control.Lens.At Methods ix :: Index (e -> a) -> Traversal' (e -> a) (IxValue (e -> a)) Source #
Ixed (V n a)
Instance details Defined in Linear.V Methods ix :: Index (V n a) -> Traversal' (V n a) (IxValue (V n a)) Source #
(a ~ a2, a ~ a3) => Ixed (a, a2, a3)
Instance details Defined in Control.Lens.At Methods ix :: Index (a, a2, a3) -> Traversal' (a, a2, a3) (IxValue (a, a2, a3)) Source #
(a ~ a2, a ~ a3, a ~ a4) => Ixed (a, a2, a3, a4)
Instance details Defined in Control.Lens.At Methods ix :: Index (a, a2, a3, a4) -> Traversal' (a, a2, a3, a4) (IxValue (a, a2, a3, a4)) Source #
(a ~ a2, a ~ a3, a ~ a4, a ~ a5) => Ixed (a, a2, a3, a4, a5)
Instance details Defined in Control.Lens.At Methods ix :: Index (a, a2, a3, a4, a5) -> Traversal' (a, a2, a3, a4, a5) (IxValue (a, a2, a3, a4, a5)) Source #
(a ~ a2, a ~ a3, a ~ a4, a ~ a5, a ~ a6) => Ixed (a, a2, a3, a4, a5, a6)
Instance details Defined in Control.Lens.At Methods ix :: Index (a, a2, a3, a4, a5, a6) -> Traversal' (a, a2, a3, a4, a5, a6) (IxValue (a, a2, a3, a4, a5, a6)) Source #
(a ~ a2, a ~ a3, a ~ a4, a ~ a5, a ~ a6, a ~ a7) => Ixed (a, a2, a3, a4, a5, a6, a7)
Instance details Defined in Control.Lens.At Methods ix :: Index (a, a2, a3, a4, a5, a6, a7) -> Traversal' (a, a2, a3, a4, a5, a6, a7) (IxValue (a, a2, a3, a4, a5, a6, a7)) Source #
(a ~ a2, a ~ a3, a ~ a4, a ~ a5, a ~ a6, a ~ a7, a ~ a8) => Ixed (a, a2, a3, a4, a5, a6, a7, a8)
Instance details Defined in Control.Lens.At Methods ix :: Index (a, a2, a3, a4, a5, a6, a7, a8) -> Traversal' (a, a2, a3, a4, a5, a6, a7, a8) (IxValue (a, a2, a3, a4, a5, a6, a7, a8)) Source #
(a ~ a2, a ~ a3, a ~ a4, a ~ a5, a ~ a6, a ~ a7, a ~ a8, a ~ a9) => Ixed (a, a2, a3, a4, a5, a6, a7, a8, a9)
Instance details Defined in Control.Lens.At Methods ix :: Index (a, a2, a3, a4, a5, a6, a7, a8, a9) -> Traversal' (a, a2, a3, a4, a5, a6, a7, a8, a9) (IxValue (a, a2, a3, a4, a5, a6, a7, a8, a9)) Source #

type family IxValue m Source #

This provides a common notion of a value at an index that is shared by both Ixed and At.

Instances

Instances details

grams.Prelude">IxValueIxValue (Control.Lens.At

type ~ a5, a Traversal' (a, a2) (IxValue Each (

Methods

IxValue, >

2/Data-Text-Lazy.html#t:Text" title="Data.lue" title="Diagrams.Prelude"> fromList [a,b,e,d]

>>> Seq.fromList [a,b,c,d] ^? ix 2
Just c
t :: Index (Seq.fromList [a,b,c,d] ^? ix 2
Just c
t :: ="file:///usr/share/doc/libghc-sne/doc/ghc-doc/html/libraries/array-put">Seq.fromList [a,b,c,d] ^? ix 2
Just c
t :: Just c
t :: Index (="file:///usr/share/doc/libghc-sne/doc/ghc-Prelude.html#t:Index" titleb,c,d] ^? ix 2
Just c
t :: Index (Hasbsp;

Ixedtle="Diagrams.Prelude">Ixed and Methods

Ixedtle="Diagrams.Prelude">Ixed and IxValue (a, a2, a3, a4)) each :: each :: each :: each :: IxValue (a, a2, a3, a4)) each :: Index (a, a2ils-toggle" data-details-id="i:Ixed">InstancesIxValue

Methodshref="s/base-4.18.2.1/Data-Type-Equality.html#t:-126-" title="Data.Type./details>

Ixedtle="Diagrams.Prelude">Ixedries/ods">