lens-5.2.3: Lenses, Folds and Traversals
Copyright(C) 2012-16 Edward Kmett Michael Sloan
LicenseBSD-style (see the file LICENSE)
MaintainerEdward Kmett <ekmett@gmail.com>
Stabilityexperimental
PortabilityRank2, MPTCs, fundeps
Safe HaskellTrustworthy
LanguageHaskell2010

Control.Lens.Wrapped

Description

The Wrapped class provides similar functionality as Control.Newtype, from the newtype package, but in a more convenient and efficient form.

There are a few functions from newtype that are not provided here, because they can be done with the Iso directly:

Control.Newtype.over Sum f ≡ _Unwrapping Sum %~ f
Control.Newtype.under Sum f ≡ _Wrapping Sum %~ f
Control.Newtype.overF Sum f ≡ mapping (_Unwrapping Sum) %~ f
Control.Newtype.underF Sum f ≡ mapping (_Wrapping Sum) %~ f

under can also be used with _Unwrapping to provide the equivalent of Control.Newtype.under. Also, most use cases don't need full polymorphism, so only the single constructor _Wrapping functions would be needed.

These equivalences aren't 100% honest, because newtype's operators need to rely on two Newtype constraints. This means that the wrapper used for the output is not necessarily the same as the input.

Synopsis

Wrapping and Unwrapping monomorphically

class Wrapped s where #

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

Minimal complete definition

Nothing

Associated Types

type Unwrapped s #

type Unwrapped s = GUnwrapped (Rep s)

Methods

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

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.

default _Wrapped' :: forall (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) #

Instances

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Wrapped NoMethodError # 
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type Unwrapped NoMethodError 
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Wrapped PatternMatchFail # 
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type Unwrapped PatternMatchFail 
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Wrapped RecConError # 
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type Unwrapped RecConError 
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Wrapped RecSelError # 
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type Unwrapped RecSelError 
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Wrapped RecUpdError # 
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type Unwrapped RecUpdError 
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Wrapped TypeError # 
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type Unwrapped TypeError 
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Wrapped All # 
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type Unwrapped All 
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Wrapped Any # 
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type Unwrapped Any 
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Wrapped Errno # 
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type Unwrapped Errno 
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Wrapped CBool # 
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type Unwrapped CBool 
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Wrapped CChar # 
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type Unwrapped CChar 
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Wrapped CClock # 
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type Unwrapped CClock 
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Wrapped CDouble # 
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type Unwrapped CDouble 
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Wrapped CFloat # 
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type Unwrapped CFloat 
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Wrapped CInt # 
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type Unwrapped CInt 
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Wrapped CIntMax # 
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type Unwrapped CIntMax 
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Wrapped CIntPtr # 
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type Unwrapped CIntPtr 
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Wrapped CLLong # 
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type Unwrapped CLLong 
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Wrapped CLong # 
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type Unwrapped CLong 
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Wrapped CPtrdiff # 
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type Unwrapped CPtrdiff 
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Wrapped CSChar # 
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type Unwrapped CSChar 
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Wrapped CSUSeconds # 
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type Unwrapped CSUSeconds 
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Wrapped CShort # 
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type Unwrapped CShort 
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Wrapped CSigAtomic # 
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type Unwrapped CSigAtomic 
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Wrapped CSize # 
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type Unwrapped CSize 
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Wrapped CTime # 
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type Unwrapped CTime 
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Wrapped CUChar # 
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type Unwrapped CUChar 
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Wrapped CUInt # 
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type Unwrapped CUInt 
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Wrapped CUIntMax # 
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type Unwrapped CUIntMax 
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Wrapped CUIntPtr # 
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type Unwrapped CUIntPtr 
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Wrapped CULLong # 
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type Unwrapped CULLong 
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Wrapped CULong # 
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type Unwrapped CULong 
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Wrapped CUSeconds # 
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type Unwrapped CUSeconds 
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Wrapped CUShort # 
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type Unwrapped CUShort 
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Wrapped CWchar # 
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type Unwrapped CWchar 
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Wrapped ErrorCall # 
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type Unwrapped ErrorCall 
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Wrapped AssertionFailed # 
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type Unwrapped AssertionFailed 
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Wrapped CompactionFailed # 
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type Unwrapped CompactionFailed 
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Wrapped CBlkCnt # 
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type Unwrapped CBlkCnt 
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Wrapped CBlkSize # 
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type Unwrapped CBlkSize 
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Wrapped CCc # 
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type Unwrapped CCc 
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Wrapped CClockId # 
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type Unwrapped CClockId 
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Wrapped CDev # 
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type Unwrapped CDev 
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Wrapped CFsBlkCnt # 
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type Unwrapped CFsBlkCnt 
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Wrapped CFsFilCnt # 
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type Unwrapped CFsFilCnt 
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Wrapped CGid # 
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type Unwrapped CGid 
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Wrapped CId # 
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type Unwrapped CId 
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Wrapped CIno # 
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type Unwrapped CIno 
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Wrapped CKey # 
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type Unwrapped CKey 
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Wrapped CMode # 
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type Unwrapped CMode 
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Wrapped CNlink # 
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type Unwrapped CNlink 
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Wrapped COff # 
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type Unwrapped COff 
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Wrapped CPid # 
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type Unwrapped CPid 
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Wrapped CRLim # 
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type Unwrapped CRLim 
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Wrapped CSpeed # 
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type Unwrapped CSpeed 
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Wrapped CSsize # 
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type Unwrapped CSsize 
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Wrapped CTcflag # 
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type Unwrapped CTcflag 
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Wrapped CTimer # 
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type Unwrapped CTimer 
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Wrapped CUid # 
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type Unwrapped CUid 
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Wrapped Fd # 
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type Unwrapped Fd 
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Wrapped IntSet # 
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type Unwrapped IntSet 
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Wrapped (ZipList a) # 
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type Unwrapped (ZipList a) 
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type Unwrapped (ZipList a) = [a]

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_Wrapped' :: Iso' (ZipList a) (Unwrapped (ZipList a)) #

Wrapped (Comparison a) # 
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type Unwrapped (Comparison a) 
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type Unwrapped (Comparison a) = a -> a -> Ordering
Wrapped (Equivalence a) # 
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type Unwrapped (Equivalence a) 
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type Unwrapped (Equivalence a) = a -> a -> Bool
Wrapped (Predicate a) # 
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type Unwrapped (Predicate a) 
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type Unwrapped (Predicate a) = a -> Bool
Wrapped (Identity a) # 
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type Unwrapped (Identity a) 
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type Unwrapped (Identity a) = a
Wrapped (First a) # 
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type Unwrapped (First a) 
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type Unwrapped (First a) = Maybe a

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_Wrapped' :: Iso' (First a) (Unwrapped (First a)) #

Wrapped (Last a) # 
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type Unwrapped (Last a) 
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type Unwrapped (Last a) = Maybe a

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_Wrapped' :: Iso' (Last a) (Unwrapped (Last a)) #

Wrapped (Down a) # 
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type Unwrapped (Down a) 
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type Unwrapped (Down a) = a

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_Wrapped' :: Iso' (Down a) (Unwrapped (Down a)) #

Wrapped (First a) # 
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type Unwrapped (First a) 
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type Unwrapped (First a) = a

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_Wrapped' :: Iso' (First a) (Unwrapped (First a)) #

Wrapped (Last a) # 
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type Unwrapped (Last a) 
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type Unwrapped (Last a) = a

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_Wrapped' :: Iso' (Last a) (Unwrapped (Last a)) #

Wrapped (Max a) # 
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type Unwrapped (Max a) 
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type Unwrapped (Max a) = a

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_Wrapped' :: Iso' (Max a) (Unwrapped (Max a)) #

Wrapped (Min a) # 
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type Unwrapped (Min a) 
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type Unwrapped (Min a) = a

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_Wrapped' :: Iso' (Min a) (Unwrapped (Min a)) #

Wrapped (WrappedMonoid a) # 
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type Unwrapped (WrappedMonoid a) 
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Wrapped (Dual a) # 
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type Unwrapped (Dual a) 
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type Unwrapped (Dual a) = a

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_Wrapped' :: Iso' (Dual a) (Unwrapped (Dual a)) #

Wrapped (Endo a) # 
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type Unwrapped (Endo a) 
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type Unwrapped (Endo a) = a -> a

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_Wrapped' :: Iso' (Endo a) (Unwrapped (Endo a)) #

Wrapped (Product a) # 
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type Unwrapped (Product a) 
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type Unwrapped (Product a) = a

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_Wrapped' :: Iso' (Product a) (Unwrapped (Product a)) #

Wrapped (Sum a) # 
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type Unwrapped (Sum a) 
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type Unwrapped (Sum a) = a

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_Wrapped' :: Iso' (Sum a) (Unwrapped (Sum a)) #

Wrapped (NonEmpty a) # 
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type Unwrapped (NonEmpty a) 
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type Unwrapped (NonEmpty a) = (a, [a])
Wrapped (Par1 p) # 
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type Unwrapped (Par1 p) 
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type Unwrapped (Par1 p) = p

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_Wrapped' :: Iso' (Par1 p) (Unwrapped (Par1 p)) #

Wrapped (IntMap a) # 
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type Unwrapped (IntMap a) 
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type Unwrapped (IntMap a) = [(Int, a)]

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_Wrapped' :: Iso' (IntMap a) (Unwrapped (IntMap a)) #

Wrapped (Seq a) # 
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type Unwrapped (Seq a) 
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type Unwrapped (Seq a) = [a]

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_Wrapped' :: Iso' (Seq a) (Unwrapped (Seq a)) #

Ord a => Wrapped (Set a) # 
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type Unwrapped (Set a) 
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type Unwrapped (Set a) = [a]

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_Wrapped' :: Iso' (Set a) (Unwrapped (Set a)) #

(Hashable a, Eq a) => Wrapped (HashSet a) # 
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type Unwrapped (HashSet a) 
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type Unwrapped (HashSet a) = [a]

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_Wrapped' :: Iso' (HashSet a) (Unwrapped (HashSet a)) #

Wrapped (Vector a) # 
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type Unwrapped (Vector a) 
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type Unwrapped (Vector a) = [a]

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_Wrapped' :: Iso' (Vector a) (Unwrapped (Vector a)) #

Prim a => Wrapped (Vector a) # 
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type Unwrapped (Vector a) 
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type Unwrapped (Vector a) = [a]

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_Wrapped' :: Iso' (Vector a) (Unwrapped (Vector a)) #

Storable a => Wrapped (Vector a) # 
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type Unwrapped (Vector a) 
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type Unwrapped (Vector a) = [a]

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_Wrapped' :: Iso' (Vector a) (Unwrapped (Vector a)) #

Unbox a => Wrapped (Vector a) # 
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type Unwrapped (Vector a) 
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type Unwrapped (Vector a) = [a]

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_Wrapped' :: Iso' (Vector a) (Unwrapped (Vector a)) #

Wrapped (WrappedMonad m a) # 
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type Unwrapped (WrappedMonad m a) 
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type Unwrapped (WrappedMonad m a) = m a
Wrapped (ArrowMonad m a) # 
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type Unwrapped (ArrowMonad m a) 
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type Unwrapped (ArrowMonad m a) = m () a

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_Wrapped' :: Iso' (ArrowMonad m a) (Unwrapped (ArrowMonad m a)) #

Wrapped (Op a b) # 
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type Unwrapped (Op a b) 
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type Unwrapped (Op a b) = b -> a

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_Wrapped' :: Iso' (Op a b) (Unwrapped (Op a b)) #

Ord k => Wrapped (Map k a) # 
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type Unwrapped (Map k a) 
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type Unwrapped (Map k a) = [(k, a)]

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_Wrapped' :: Iso' (Map k a) (Unwrapped (Map k a)) #

Wrapped (CatchT m a) # 
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type Unwrapped (CatchT m a) 
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_Wrapped' :: Iso' (CatchT m a) (Unwrapped (CatchT m a)) #

Wrapped (Alt f a) # 
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type Unwrapped (Alt f a) 
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type Unwrapped (Alt f a) = [AltF f a]

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_Wrapped' :: Iso' (Alt f a) (Unwrapped (Alt f a)) #

Wrapped (CoiterT w a) # 
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type Unwrapped (CoiterT w a) 
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type Unwrapped (CoiterT w a) = w (a, CoiterT w a)

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_Wrapped' :: Iso' (CoiterT w a) (Unwrapped (CoiterT w a)) #

Wrapped (IterT m a) # 
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type Unwrapped (IterT m a) 
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type Unwrapped (IterT m a) = m (Either a (IterT m a))

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_Wrapped' :: Iso' (IterT m a) (Unwrapped (IterT m a)) #

Wrapped (MaybeApply f a) # 
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type Unwrapped (MaybeApply f a) 
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type Unwrapped (MaybeApply f a) = Either (f a) a

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_Wrapped' :: Iso' (MaybeApply f a) (Unwrapped (MaybeApply f a)) #

Wrapped (WrappedApplicative f a) # 
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type Unwrapped (WrappedApplicative f a) 
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type Unwrapped (WrappedApplicative f a) = f a
Wrapped (MaybeT m a) # 
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type Unwrapped (MaybeT m a) 
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type Unwrapped (MaybeT m a) = m (Maybe a)

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_Wrapped' :: Iso' (MaybeT m a) (Unwrapped (MaybeT m a)) #

(Hashable k, Eq k) => Wrapped (HashMap k a) # 
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type Unwrapped (HashMap k a) 
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type Unwrapped (HashMap k a) = [(k, a)]

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_Wrapped' :: Iso' (HashMap k a) (Unwrapped (HashMap k a)) #

Wrapped (WrappedArrow a b c) # 
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type Unwrapped (WrappedArrow a b c) 
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type Unwrapped (WrappedArrow a b c) = a b c

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_Wrapped' :: Iso' (WrappedArrow a b c) (Unwrapped (WrappedArrow a b c)) #

Wrapped (Kleisli m a b) # 
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type Unwrapped (Kleisli m a b) 
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type Unwrapped (Kleisli m a b) = a -> m b

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_Wrapped' :: Iso' (Kleisli m a b) (Unwrapped (Kleisli m a b)) #

Wrapped (Const a x) # 
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type Unwrapped (Const a x) 
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type Unwrapped (Const a x) = a

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_Wrapped' :: Iso' (Const a x) (Unwrapped (Const a x)) #

Wrapped (Ap f a) # 
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type Unwrapped (Ap f a) 
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type Unwrapped (Ap f a) = f a

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_Wrapped' :: Iso' (Ap f a) (Unwrapped (Ap f a)) #

Wrapped (Alt f a) # 
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type Unwrapped (Alt f a) 
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type Unwrapped (Alt f a) = f a

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_Wrapped' :: Iso' (Alt f a) (Unwrapped (Alt f a)) #

Wrapped (Rec1 f p) # 
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type Unwrapped (Rec1 f p) 
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type Unwrapped (Rec1 f p) = f p

Methods

_Wrapped' :: Iso' (Rec1 f p) (Unwrapped (Rec1 f p)) #

Wrapped (Fix p a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Fix p a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Fix p a) = p (Fix p a) a

Methods

_Wrapped' :: Iso' (Fix p a) (Unwrapped (Fix p a)) #

Wrapped (Join p a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Join p a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Join p a) = p a a

Methods

_Wrapped' :: Iso' (Join p a) (Unwrapped (Join p a)) #

Wrapped (TracedT m w a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (TracedT m w a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (TracedT m w a) = w (m -> a)

Methods

_Wrapped' :: Iso' (TracedT m w a) (Unwrapped (TracedT m w a)) #

Wrapped (Compose f g a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Compose f g a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Compose f g a) = f (g a)

Methods

_Wrapped' :: Iso' (Compose f g a) (Unwrapped (Compose f g a)) #

Wrapped (ComposeCF f g a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (ComposeCF f g a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (ComposeCF f g a) = f (g a)

Methods

_Wrapped' :: Iso' (ComposeCF f g a) (Unwrapped (ComposeCF f g a)) #

Wrapped (ComposeFC f g a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (ComposeFC f g a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (ComposeFC f g a) = f (g a)

Methods

_Wrapped' :: Iso' (ComposeFC f g a) (Unwrapped (ComposeFC f g a)) #

Wrapped (ApT f g a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (ApT f g a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (ApT f g a) = g (ApF f g a)

Methods

_Wrapped' :: Iso' (ApT f g a) (Unwrapped (ApT f g a)) #

Wrapped (CofreeT f w a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

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))

Methods

_Wrapped' :: Iso' (CofreeT f w a) (Unwrapped (CofreeT f w a)) #

Wrapped (FreeT f m a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

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))

Methods

_Wrapped' :: Iso' (FreeT f m a) (Unwrapped (FreeT f m a)) #

Wrapped (Static f a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Static f a b) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Static f a b) = f (a -> b)

Methods

_Wrapped' :: Iso' (Static f a b) (Unwrapped (Static f a b)) #

Wrapped (Tagged s a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Tagged s a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Tagged s a) = a

Methods

_Wrapped' :: Iso' (Tagged s a) (Unwrapped (Tagged s a)) #

Wrapped (Backwards f a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Backwards f a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Backwards f a) = f a

Methods

_Wrapped' :: Iso' (Backwards f a) (Unwrapped (Backwards f a)) #

Wrapped (ExceptT e m a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (ExceptT e m a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (ExceptT e m a) = m (Either e a)

Methods

_Wrapped' :: Iso' (ExceptT e m a) (Unwrapped (ExceptT e m a)) #

Wrapped (IdentityT m a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (IdentityT m a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (IdentityT m a) = m a

Methods

_Wrapped' :: Iso' (IdentityT m a) (Unwrapped (IdentityT m a)) #

Wrapped (ReaderT r m a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (ReaderT r m a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (ReaderT r m a) = r -> m a

Methods

_Wrapped' :: Iso' (ReaderT r m a) (Unwrapped (ReaderT r m a)) #

Wrapped (StateT s m a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (StateT s m a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (StateT s m a) = s -> m (a, s)

Methods

_Wrapped' :: Iso' (StateT s m a) (Unwrapped (StateT s m a)) #

Wrapped (StateT s m a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (StateT s m a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (StateT s m a) = s -> m (a, s)

Methods

_Wrapped' :: Iso' (StateT s m a) (Unwrapped (StateT s m a)) #

Wrapped (WriterT w m a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (WriterT w m a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (WriterT w m a) = m (a, w)

Methods

_Wrapped' :: Iso' (WriterT w m a) (Unwrapped (WriterT w m a)) #

Wrapped (WriterT w m a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (WriterT w m a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (WriterT w m a) = m (a, w)

Methods

_Wrapped' :: Iso' (WriterT w m a) (Unwrapped (WriterT w m a)) #

Wrapped (Constant a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Constant a b) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Constant a b) = a

Methods

_Wrapped' :: Iso' (Constant a b) (Unwrapped (Constant a b)) #

Wrapped (Reverse f a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Reverse f a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Reverse f a) = f a

Methods

_Wrapped' :: Iso' (Reverse f a) (Unwrapped (Reverse f a)) #

Wrapped (K1 i c p) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (K1 i c p) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (K1 i c p) = c

Methods

_Wrapped' :: Iso' (K1 i c p) (Unwrapped (K1 i c p)) #

Wrapped (Costar f d c) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Costar f d c) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Costar f d c) = f d -> c

Methods

_Wrapped' :: Iso' (Costar f d c) (Unwrapped (Costar f d c)) #

Wrapped (Forget r a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Forget r a b) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Forget r a b) = a -> r

Methods

_Wrapped' :: Iso' (Forget r a b) (Unwrapped (Forget r a b)) #

Wrapped (Star f d c) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Star f d c) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Star f d c) = d -> f c

Methods

_Wrapped' :: Iso' (Star f d c) (Unwrapped (Star f d c)) #

Wrapped (ContT r m a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (ContT r m a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (ContT r m a) = (a -> m r) -> m r

Methods

_Wrapped' :: Iso' (ContT r m a) (Unwrapped (ContT r m a)) #

Wrapped (Compose f g a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Compose f g a) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Compose f g a) = f (g a)

Methods

_Wrapped' :: Iso' (Compose f g a) (Unwrapped (Compose f g a)) #

Wrapped ((f :.: g) p) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped ((f :.: g) p) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped ((f :.: g) p) = f (g p)

Methods

_Wrapped' :: Iso' ((f :.: g) p) (Unwrapped ((f :.: g) p)) #

Wrapped (M1 i c f p) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (M1 i c f p) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (M1 i c f p) = f p

Methods

_Wrapped' :: Iso' (M1 i c f p) (Unwrapped (M1 i c f p)) #

Wrapped (Clown f a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Clown f a b) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Clown f a b) = f a

Methods

_Wrapped' :: Iso' (Clown f a b) (Unwrapped (Clown f a b)) #

Wrapped (Flip p a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Flip p a b) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Flip p a b) = p b a

Methods

_Wrapped' :: Iso' (Flip p a b) (Unwrapped (Flip p a b)) #

Wrapped (Joker g a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Joker g a b) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Joker g a b) = g b

Methods

_Wrapped' :: Iso' (Joker g a b) (Unwrapped (Joker g a b)) #

Wrapped (WrappedBifunctor p a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (WrappedBifunctor p a b) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (WrappedBifunctor p a b) = p a b
Wrapped (WrappedArrow p a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (WrappedArrow p a b) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (WrappedArrow p a b) = p a b

Methods

_Wrapped' :: Iso' (WrappedArrow p a b) (Unwrapped (WrappedArrow p a b)) #

Wrapped (Semi m a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Semi m a b) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Semi m a b) = m

Methods

_Wrapped' :: Iso' (Semi m a b) (Unwrapped (Semi m a b)) #

Wrapped (WrappedCategory k3 a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (WrappedCategory k3 a b) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (WrappedCategory k3 a b) = k3 a b
Wrapped (Dual k3 a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Dual k3 a b) 
Instance details

Defined in Control.Lens.Wrapped

type Unwrapped (Dual k3 a b) = k3 b a

Methods

_Wrapped' :: Iso' (Dual k3 a b) (Unwrapped (Dual k3 a b)) #

Wrapped (RWST r w s m a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

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)

Methods

_Wrapped' :: Iso' (RWST r w s m a) (Unwrapped (RWST r w s m a)) #

Wrapped (RWST r w s m a) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

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)

Methods

_Wrapped' :: Iso' (RWST r w s m a) (Unwrapped (RWST r w s m a)) #

Wrapped (Tannen f p a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

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)

Methods

_Wrapped' :: Iso' (Tannen f p a b) (Unwrapped (Tannen f p a b)) #

Wrapped (Cayley f p a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

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)

Methods

_Wrapped' :: Iso' (Cayley f p a b) (Unwrapped (Cayley f p a b)) #

Wrapped (Biff p f g a b) # 
Instance details

Defined in Control.Lens.Wrapped

Associated Types

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)

Methods

_Wrapped' :: Iso' (Biff p f g a b) (Unwrapped (Biff p f g a b)) #

_Wrapping' :: Wrapped s => (Unwrapped s -> s) -> Iso' s (Unwrapped s) #

This is a convenient version of _Wrapped with an argument that's ignored.

The user supplied function is ignored, merely its type is used.

_Unwrapping' :: Wrapped s => (Unwrapped s -> s) -> Iso' (Unwrapped s) s #

This is a convenient version of _Wrapped with an argument that's ignored.

The user supplied function is ignored, merely its type is used.

Wrapping and unwrapping polymorphically

class Wrapped s => Rewrapped s t #

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

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

(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

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 ~ 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

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 # 
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t ~ Fix p' a' => Rewrapped (Fix p a) t # 
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t ~ Join p' a' => Rewrapped (Join p a) t # 
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t ~ TracedT m' w' a' => Rewrapped (TracedT m w a) t # 
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t ~ Compose f' g' a' => Rewrapped (Compose f g a) t # 
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t ~ ComposeCF f' g' a' => Rewrapped (ComposeCF f g a) t # 
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t ~ ComposeFC f' g' a' => Rewrapped (ComposeFC f g a) t # 
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t ~ ApT f' g' a' => Rewrapped (ApT f g a) t # 
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t ~ CofreeT f' w' a' => Rewrapped (CofreeT f w a) t # 
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t ~ FreeT f' m' a' => Rewrapped (FreeT f m a) t # 
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t ~ Static f' a' b' => Rewrapped (Static f a b) t # 
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t ~ Tagged s' a' => Rewrapped (Tagged s a) t # 
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t ~ Backwards g b => Rewrapped (Backwards f a) t # 
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t ~ ExceptT e' m' a' => Rewrapped (ExceptT e m a) t # 
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t ~ IdentityT n b => Rewrapped (IdentityT m a) t # 
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t ~ ReaderT s n b => Rewrapped (ReaderT r m a) t # 
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t ~ StateT s' m' a' => Rewrapped (StateT s m a) t # 
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t ~ StateT s' m' a' => Rewrapped (StateT s m a) t # 
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t ~ WriterT w' m' a' => Rewrapped (WriterT w m a) t # 
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t ~ WriterT w' m' a' => Rewrapped (WriterT w m a) t # 
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t ~ Constant a' b' => Rewrapped (Constant a b) t # 
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t ~ Reverse g b => Rewrapped (Reverse f a) t # 
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t ~ K1 i' c' p' => Rewrapped (K1 i c p) t # 
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t ~ Costar f' d' c' => Rewrapped (Costar f d c) t # 
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t ~ Forget r' a' b' => Rewrapped (Forget r a b) t # 
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t ~ Star f' d' c' => Rewrapped (Star f d c) t # 
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t ~ ContT r' m' a' => Rewrapped (ContT r m a) t # 
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t ~ Compose f' g' a' => Rewrapped (Compose f g a) t # 
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t ~ (f' :.: g') p' => Rewrapped ((f :.: g) p) t # 
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t ~ M1 i' c' f' p' => Rewrapped (M1 i c f p) t # 
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t ~ Clown f' a' b' => Rewrapped (Clown f a b) t # 
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t ~ Flip p' a' b' => Rewrapped (Flip p a b) t # 
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t ~ Joker g' a' b' => Rewrapped (Joker g a b) t # 
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t ~ WrappedBifunctor p' a' b' => Rewrapped (WrappedBifunctor p a b) t # 
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t ~ WrappedArrow p' a' b' => Rewrapped (WrappedArrow p a b) t # 
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t ~ Semi m' a' b' => Rewrapped (Semi m a b) t # 
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t ~ WrappedCategory k' a' b' => Rewrapped (WrappedCategory k6 a b) t # 
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t ~ Dual k' a' b' => Rewrapped (Dual k6 a b) t # 
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t ~ RWST r' w' s' m' a' => Rewrapped (RWST r w s m a) t # 
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t ~ RWST r' w' s' m' a' => Rewrapped (RWST r w s m a) t # 
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t ~ Tannen f' p' a' b' => Rewrapped (Tannen f p a b) t # 
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t ~ Cayley f' p' a' b' => Rewrapped (Cayley f p a b) t # 
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t ~ Biff p' f' g' a' b' => Rewrapped (Biff p f g a b) t # 
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Defined in Control.Lens.Wrapped

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

Instances

Instances details
(Rewrapped s t, Rewrapped t s) => Rewrapping s t # 
Instance details

Defined in Control.Lens.Wrapped

_Wrapped :: Rewrapping s t => Iso s t (Unwrapped s) (Unwrapped t) #

Work under a newtype wrapper.

>>> Const "hello" & _Wrapped %~ Prelude.length & getConst
5
_Wrappedfrom _Unwrapped
_Unwrappedfrom _Wrapped

_Wrapping :: Rewrapping s t => (Unwrapped s -> s) -> Iso s t (Unwrapped s) (Unwrapped t) #

This is a convenient version of _Wrapped with an argument that's ignored.

The user supplied function is ignored, merely its types are used.

_Unwrapping :: Rewrapping s t => (Unwrapped s -> s) -> Iso (Unwrapped t) (Unwrapped s) t s #

This is a convenient version of _Unwrapped with an argument that's ignored.

The user supplied function is ignored, merely its types are used.

Operations

op :: Wrapped s => (Unwrapped s -> s) -> s -> Unwrapped s #

Given the constructor for a Wrapped type, return a deconstructor that is its inverse.

Assuming the Wrapped instance is legal, these laws hold:

op f . f ≡ id
f . op f ≡ id
>>> op Identity (Identity 4)
4
>>> op Const (Const "hello")
"hello"

ala :: (Functor f, Rewrapping s t) => (Unwrapped s -> s) -> ((Unwrapped t -> t) -> f s) -> f (Unwrapped s) #

This combinator is based on ala from Conor McBride's work on Epigram.

As with _Wrapping, the user supplied function for the newtype is ignored.

>>> ala Sum foldMap [1,2,3,4]
10
>>> ala All foldMap [True,True]
True
>>> ala All foldMap [True,False]
False
>>> ala Any foldMap [False,False]
False
>>> ala Any foldMap [True,False]
True
>>> ala Product foldMap [1,2,3,4]
24

You may want to think of this combinator as having the following, simpler, type.

ala :: Rewrapping s t => (Unwrapped s -> s) -> ((Unwrapped t -> t) -> e -> s) -> e -> Unwrapped s

alaf :: (Functor f, Functor g, Rewrapping s t) => (Unwrapped s -> s) -> (f t -> g s) -> f (Unwrapped t) -> g (Unwrapped s) #

This combinator is based on ala' from Conor McBride's work on Epigram.

As with _Wrapping, the user supplied function for the newtype is ignored.

alaf :: Rewrapping s t => (Unwrapped s -> s) -> ((r -> t) -> e -> s) -> (r -> Unwrapped t) -> e -> Unwrapped s
>>> alaf Sum foldMap Prelude.length ["hello","world"]
10

Pattern Synonyms

pattern Wrapped :: Rewrapped s s => Unwrapped s -> s #

pattern Unwrapped :: Rewrapped t t => t -> Unwrapped t #

Generics

_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) #

Implement the _Wrapped operation for a type using its Generic instance.