Safe Haskell	None
Language	Haskell2010

Generics.SOP

Contents

Codes and interpretations
n-ary datatypes
Metadata
Combinators
Utilities

Description

Main module of generics-sop

In most cases, you will probably want to import just this module, and possibly Generics.SOP.TH if you want to use Template Haskell to generate Generic instances for you.

Generic programming with sums of products

You need this library if you want to define your own generic functions in the sum-of-products SOP style. Generic programming in the SOP style follows the following idea:

A large class of datatypes can be viewed in a uniform, structured way: the choice between constructors is represented using an n-ary sum (called NS), and the arguments of each constructor are represented using an n-ary product (called NP).
The library captures the notion of a datatype being representable in the following way. There is a class Generic, which for a given datatype A, associates the isomorphic SOP representation with the original type under the name Rep A. The class also provides functions from and to that convert between A and Rep A and witness the isomorphism.
Since all Rep types are sums of products, you can define functions over them by performing induction on the structure, or by using predefined combinators that the library provides. Such functions then work for all Rep types.
By combining the conversion functions from and to with the function that works on Rep types, we obtain a function that works on all types that are in the Generic class.
Most types can very easily be made an instance of Generic. For example, if the datatype can be represented using GHC's built-in approach to generic programming and has an instance for the Generic class from module GHC.Generics, then an instance of the SOP Generic can automatically be derived. There is also Template Haskell code in Generics.SOP.TH that allows to auto-generate an instance of Generic for most types.

Example

Instantiating a datatype for use with SOP generics

Let's assume we have the datatypes:

data A   = C Bool | D A Int | E (B ())
data B a = F | G a Char Bool

To create Generic instances for A and B via GHC.Generics, we say

{-# LANGUAGE DeriveGeneric #-}

import qualified GHC.Generics as GHC
import Generics.SOP

data A   = C Bool | D A Int | E (B ())
  deriving (Show, GHC.Generic)
data B a = F | G a Char Bool
  deriving (Show, GHC.Generic)

instance Generic A     -- empty
instance Generic (B a) -- empty

Now we can convert between A and Rep A (and between B and Rep B). For example,

>>> from (D (C True) 3) :: Rep A
SOP (S (Z (I (C True) :* I 3 :* Nil)))
>>> to it :: A
D (C True) 3

Note that the transformation is shallow: In D (C True) 3, the inner value C True of type A is not affected by the transformation.

For more details about Rep A, have a look at the Generics.SOP.Universe module.

Defining a generic function

As an example of a generic function, let us define a generic version of rnf from the deepseq package.

The type of rnf is

NFData a => a -> ()

and the idea is that for a term x of type a in the NFData class, rnf x forces complete evaluation of x (i.e., evaluation to normal form), and returns ().

We call the generic version of this function grnf. A direct definition in SOP style, making use of structural recursion on the sums and products, looks as follows:

grnf :: (Generic a, All2 NFData (Code a)) => a -> ()
grnf x = grnfS (from x)

grnfS :: (All2 NFData xss) => SOP I xss -> ()
grnfS (SOP (Z xs))  = grnfP xs
grnfS (SOP (S xss)) = grnfS (SOP xss)

grnfP :: (All NFData xs) => NP I xs -> ()
grnfP Nil         = ()
grnfP (I x :* xs) = x `deepseq` (grnfP xs)

The grnf function performs the conversion between a and Rep a by applying from and then applies grnfS. The type of grnf indicates that a must be in the Generic class so that we can apply from, and that all the components of a (i.e., all the types that occur as constructor arguments) must be in the NFData class (All2).

The function grnfS traverses the outer sum structure of the sum of products (note that Rep a = SOP I (Code a)). It encodes which constructor was used to construct the original argument of type a. Once we've found the constructor in question (Z), we traverse the arguments of that constructor using grnfP.

The function grnfP traverses the product structure of the constructor arguments. Each argument is evaluated using the deepseq function from the NFData class. This requires that all components of the product must be in the NFData class (All) and triggers the corresponding constraints on the other functions. Once the end of the product is reached (Nil), we return ().

Defining a generic function using combinators

In many cases, generic functions can be written in a much more concise way by avoiding the explicit structural recursion and resorting to the powerful combinators provided by this library instead.

For example, the grnf function can also be defined as a one-liner as follows:

grnf :: (Generic a, All2 NFData (Code a)) => a -> ()
grnf = rnf . hcollapse . hcmap (Proxy :: Proxy NFData) (mapIK rnf) . from

mapIK and friends (mapII, mapKI, etc.) are small helpers for working with I and K functors, for example mapIK is defined as mapIK f = \ (I x) -> K (f x)

The following interaction should provide an idea of the individual transformation steps:

>>> let x = G 2.5 'A' False :: B Double
>>> from x
SOP (S (Z (I 2.5 :* I 'A' :* I False :* Nil)))
>>> hcmap (Proxy :: Proxy NFData) (mapIK rnf) it
SOP (S (Z (K () :* K () :* K () :* Nil)))
>>> hcollapse it
[(),(),()]
>>> rnf it
()

The from call converts into the structural representation. Via hcmap, we apply rnf to all the components. The result is a sum of products of the same shape, but the components are no longer heterogeneous (I), but homogeneous (K ()). A homogeneous structure can be collapsed (hcollapse) into a normal Haskell list. Finally, rnf actually forces evaluation of this list (and thereby actually drives the evaluation of all the previous steps) and produces the final result.

Using a generic function

We can directly invoke grnf on any type that is an instance of class Generic.

>>> grnf (G 2.5 'A' False)
()
>>> grnf (G 2.5 undefined False)
*** Exception: Prelude.undefined
...

Note that the type of grnf requires that all components of the type are in the NFData class. For a recursive datatype such as B, this means that we have to make A (and in this case, also B) an instance of NFData in order to be able to use the grnf function. But we can use grnf to supply the instance definitions:

instance NFData A where rnf = grnf
instance NFData a => NFData (B a) where rnf = grnf

More examples

The best way to learn about how to define generic functions in the SOP style is to look at a few simple examples. Examples are provided by the following packages:

basic-sop basic examples,
pretty-sop generic pretty printing,
lens-sop generically computed lenses,
json-sop generic JSON conversions.

The generic functions in these packages use a wide variety of the combinators that are offered by the library.

Paper

A detailed description of the ideas behind this library is provided by the paper:

Edsko de Vries and Andres Löh. True Sums of Products. Workshop on Generic Programming (WGP) 2014.

Synopsis

class All SListI (Code a) => Generic (a :: Type) where
- type Code a :: [[Type]]
- from :: a -> Rep a
- to :: Rep a -> a
type Rep a = SOP I (Code a)
type IsProductType (a :: Type) (xs :: [Type]) = (Generic a, Code a ~ '[xs])
type ProductCode (a :: Type) = Head (Code a)
productTypeFrom :: IsProductType a xs => a -> NP I xs
productTypeTo :: IsProductType a xs => NP I xs -> a
type IsEnumType (a :: Type) = (Generic a, All ((~) '[]) (Code a))
enumTypeFrom :: IsEnumType a => a -> NS (K ()) (Code a)
enumTypeTo :: IsEnumType a => NS (K ()) (Code a) -> a
type IsWrappedType (a :: Type) (x :: Type) = (Generic a, Code a ~ '['[x]])
type WrappedCode (a :: Type) = Head (Head (Code a))
wrappedTypeFrom :: IsWrappedType a x => a -> x
wrappedTypeTo :: IsWrappedType a x => x -> a
type IsNewtype (a :: Type) (x :: Type) = (IsWrappedType a x, Coercible a x)
newtypeFrom :: IsNewtype a x => a -> x
newtypeTo :: IsNewtype a x => x -> a
data NP (a :: k -> Type) (b :: [k]) where
- Nil :: forall k (a :: k -> Type). NP a ('[] :: [k])
- (:*) :: forall k (a :: k -> Type) (x :: k) (xs :: [k]). a x -> NP a xs -> NP a (x ': xs)
data NS (a :: k -> Type) (b :: [k]) where
- Z :: forall k (a :: k -> Type) (x :: k) (xs :: [k]). a x -> NS a (x ': xs)
- S :: forall k (a :: k -> Type) (xs :: [k]) (x :: k). NS a xs -> NS a (x ': xs)
newtype SOP (f :: k -> Type) (xss :: [[k]]) = SOP (NS (NP f) xss)
unSOP :: forall k (f :: k -> Type) (xss :: [[k]]). SOP f xss -> NS (NP f) xss
newtype POP (f :: k -> Type) (xss :: [[k]]) = POP (NP (NP f) xss)
unPOP :: forall k (f :: k -> Type) (xss :: [[k]]). POP f xss -> NP (NP f) xss
data DatatypeInfo :: [[Type]] -> Type where
- ADT :: ModuleName -> DatatypeName -> NP ConstructorInfo xss -> POP StrictnessInfo xss -> DatatypeInfo xss
- Newtype :: ModuleName -> DatatypeName -> ConstructorInfo '[x] -> DatatypeInfo '['[x]]
moduleName :: DatatypeInfo xss -> ModuleName
datatypeName :: DatatypeInfo xss -> DatatypeName
constructorInfo :: DatatypeInfo xss -> NP ConstructorInfo xss
data ConstructorInfo :: [Type] -> Type where
- Constructor :: SListI xs => ConstructorName -> ConstructorInfo xs
- Infix :: ConstructorName -> Associativity -> Fixity -> ConstructorInfo '[x, y]
- Record :: SListI xs => ConstructorName -> NP FieldInfo xs -> ConstructorInfo xs
constructorName :: ConstructorInfo xs -> ConstructorName
data FieldInfo :: Type -> Type where
- FieldInfo :: FieldName -> FieldInfo a
fieldName :: FieldInfo a -> FieldName
class Generic a => HasDatatypeInfo a where
- type DatatypeInfoOf a :: DatatypeInfo
- datatypeInfo :: proxy a -> DatatypeInfo (Code a)
type DatatypeName = String
type ModuleName = String
type ConstructorName = String
type FieldName = String
data Associativity
- = LeftAssociative
- | RightAssociative
- | NotAssociative
type Fixity = Int
class HPure (h :: (k -> Type) -> l -> Type) where
- hpure :: forall (xs :: l) f. SListIN h xs => (forall (a :: k). f a) -> h f xs
- hcpure :: forall c (xs :: l) proxy f. AllN h c xs => proxy c -> (forall (a :: k). c a => f a) -> h f xs
hd :: forall k f (x :: k) (xs :: [k]). NP f (x ': xs) -> f x
tl :: forall k (f :: k -> Type) (x :: k) (xs :: [k]). NP f (x ': xs) -> NP f xs
type Projection (f :: k -> Type) (xs :: [k]) = (K (NP f xs) :: k -> Type) -.-> f
projections :: forall k (xs :: [k]) (f :: k -> Type). SListI xs => NP (Projection f xs) xs
shiftProjection :: forall a1 (f :: a1 -> Type) (xs :: [a1]) (a2 :: a1) (x :: a1). Projection f xs a2 -> Projection f (x ': xs) a2
newtype ((f :: k -> Type) -.-> (g :: k -> Type)) (a :: k) = Fn {
- apFn :: f a -> g a
}
fn :: forall k f (a :: k) f'. (f a -> f' a) -> (f -.-> f') a
fn_2 :: forall k f (a :: k) f' f''. (f a -> f' a -> f'' a) -> (f -.-> (f' -.-> f'')) a
fn_3 :: forall k f (a :: k) f' f'' f'''. (f a -> f' a -> f'' a -> f''' a) -> (f -.-> (f' -.-> (f'' -.-> f'''))) a
fn_4 :: forall k f (a :: k) f' f'' f''' f''''. (f a -> f' a -> f'' a -> f''' a -> f'''' a) -> (f -.-> (f' -.-> (f'' -.-> (f''' -.-> f'''')))) a
type family Prod (h :: (k -> Type) -> l -> Type) :: (k -> Type) -> l -> Type
class (Prod (Prod h) ~ Prod h, HPure (Prod h)) => HAp (h :: (k -> Type) -> l -> Type) where
- hap :: forall (f :: k -> Type) (g :: k -> Type) (xs :: l). Prod h (f -.-> g) xs -> h f xs -> h g xs
hliftA :: forall k l h (xs :: l) f f'. (SListIN (Prod h) xs, HAp h) => (forall (a :: k). f a -> f' a) -> h f xs -> h f' xs
hliftA2 :: forall k l h (xs :: l) f f' f''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) => (forall (a :: k). f a -> f' a -> f'' a) -> Prod h f xs -> h f' xs -> h f'' xs
hliftA3 :: forall k l h (xs :: l) f f' f'' f'''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) => (forall (a :: k). f a -> f' a -> f'' a -> f''' a) -> Prod h f xs -> Prod h f' xs -> h f'' xs -> h f''' xs
hcliftA :: forall k l h c (xs :: l) proxy f f'. (AllN (Prod h) c xs, HAp h) => proxy c -> (forall (a :: k). c a => f a -> f' a) -> h f xs -> h f' xs
hcliftA2 :: forall k l h c (xs :: l) proxy f f' f''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) => proxy c -> (forall (a :: k). c a => f a -> f' a -> f'' a) -> Prod h f xs -> h f' xs -> h f'' xs
hcliftA3 :: forall k l h c (xs :: l) proxy f f' f'' f'''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) => proxy c -> (forall (a :: k). c a => f a -> f' a -> f'' a -> f''' a) -> Prod h f xs -> Prod h f' xs -> h f'' xs -> h f''' xs
hmap :: forall k l h (xs :: l) f f'. (SListIN (Prod h) xs, HAp h) => (forall (a :: k). f a -> f' a) -> h f xs -> h f' xs
hzipWith :: forall k l h (xs :: l) f f' f''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) => (forall (a :: k). f a -> f' a -> f'' a) -> Prod h f xs -> h f' xs -> h f'' xs
hzipWith3 :: forall k l h (xs :: l) f f' f'' f'''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) => (forall (a :: k). f a -> f' a -> f'' a -> f''' a) -> Prod h f xs -> Prod h f' xs -> h f'' xs -> h f''' xs
hcmap :: forall k l h c (xs :: l) proxy f f'. (AllN (Prod h) c xs, HAp h) => proxy c -> (forall (a :: k). c a => f a -> f' a) -> h f xs -> h f' xs
hczipWith :: forall k l h c (xs :: l) proxy f f' f''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) => proxy c -> (forall (a :: k). c a => f a -> f' a -> f'' a) -> Prod h f xs -> h f' xs -> h f'' xs
hczipWith3 :: forall k l h c (xs :: l) proxy f f' f'' f'''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) => proxy c -> (forall (a :: k). c a => f a -> f' a -> f'' a -> f''' a) -> Prod h f xs -> Prod h f' xs -> h f'' xs -> h f''' xs
type Injection (f :: k -> Type) (xs :: [k]) = f -.-> (K (NS f xs) :: k -> Type)
injections :: forall k (xs :: [k]) (f :: k -> Type). SListI xs => NP (Injection f xs) xs
shift :: forall a1 (f :: a1 -> Type) (xs :: [a1]) (a2 :: a1) (x :: a1). Injection f xs a2 -> Injection f (x ': xs) a2
shiftInjection :: forall a1 (f :: a1 -> Type) (xs :: [a1]) (a2 :: a1) (x :: a1). Injection f xs a2 -> Injection f (x ': xs) a2
type family UnProd (h :: (k -> Type) -> l -> Type) :: (k -> Type) -> l -> Type
class UnProd (Prod h) ~ h => HApInjs (h :: (k -> Type) -> l -> Type) where
- hapInjs :: forall (xs :: l) (f :: k -> Type). SListIN h xs => Prod h f xs -> [h f xs]
apInjs_NP :: forall k (xs :: [k]) (f :: k -> Type). SListI xs => NP f xs -> [NS f xs]
apInjs_POP :: forall k (xss :: [[k]]) (f :: k -> Type). SListI xss => POP f xss -> [SOP f xss]
unZ :: forall k f (x :: k). NS f '[x] -> f x
class HIndex (h :: (k -> Type) -> l -> Type) where
- hindex :: forall (f :: k -> Type) (xs :: l). h f xs -> Int
type Ejection (f :: k -> Type) (xs :: [k]) = (K (NS f xs) :: k -> Type) -.-> (Maybe :.: f)
ejections :: forall k (xs :: [k]) (f :: k -> Type). SListI xs => NP (Ejection f xs) xs
shiftEjection :: forall a1 (f :: a1 -> Type) (x :: a1) (xs :: [a1]) (a2 :: a1). Ejection f xs a2 -> Ejection f (x ': xs) a2
hcliftA' :: forall k (c :: k -> Constraint) (xss :: [[k]]) h proxy f f'. (All2 c xss, Prod h ~ (NP :: ([k] -> Type) -> [[k]] -> Type), HAp h) => proxy c -> (forall (xs :: [k]). All c xs => f xs -> f' xs) -> h f xss -> h f' xss
hcliftA2' :: forall k (c :: k -> Constraint) (xss :: [[k]]) h proxy f f' f''. (All2 c xss, Prod h ~ (NP :: ([k] -> Type) -> [[k]] -> Type), HAp h) => proxy c -> (forall (xs :: [k]). All c xs => f xs -> f' xs -> f'' xs) -> Prod h f xss -> h f' xss -> h f'' xss
hcliftA3' :: forall k (c :: k -> Constraint) (xss :: [[k]]) h proxy f f' f'' f'''. (All2 c xss, Prod h ~ (NP :: ([k] -> Type) -> [[k]] -> Type), HAp h) => proxy c -> (forall (xs :: [k]). All c xs => f xs -> f' xs -> f'' xs -> f''' xs) -> Prod h f xss -> Prod h f' xss -> h f'' xss -> h f''' xss
compare_NS :: forall k r f g (xs :: [k]). r -> (forall (x :: k). f x -> g x -> r) -> r -> NS f xs -> NS g xs -> r
ccompare_NS :: forall k c proxy r f g (xs :: [k]). All c xs => proxy c -> r -> (forall (x :: k). c x => f x -> g x -> r) -> r -> NS f xs -> NS g xs -> r
compare_SOP :: forall k r (f :: k -> Type) (g :: k -> Type) (xss :: [[k]]). r -> (forall (xs :: [k]). NP f xs -> NP g xs -> r) -> r -> SOP f xss -> SOP g xss -> r
ccompare_SOP :: forall k (c :: k -> Constraint) proxy r (f :: k -> Type) (g :: k -> Type) (xss :: [[k]]). All2 c xss => proxy c -> r -> (forall (xs :: [k]). All c xs => NP f xs -> NP g xs -> r) -> r -> SOP f xss -> SOP g xss -> r
type family CollapseTo (h :: (k -> Type) -> l -> Type) x
class HCollapse (h :: (k -> Type) -> l -> Type) where
- hcollapse :: forall (xs :: l) a. SListIN h xs => h (K a :: k -> Type) xs -> CollapseTo h a
class HTraverse_ (h :: (k -> Type) -> l -> Type) where
- hctraverse_ :: forall c (xs :: l) g proxy f. (AllN h c xs, Applicative g) => proxy c -> (forall (a :: k). c a => f a -> g ()) -> h f xs -> g ()
- htraverse_ :: forall (xs :: l) g f. (SListIN h xs, Applicative g) => (forall (a :: k). f a -> g ()) -> h f xs -> g ()
hcfoldMap :: forall k l h c (xs :: l) m proxy f. (HTraverse_ h, AllN h c xs, Monoid m) => proxy c -> (forall (a :: k). c a => f a -> m) -> h f xs -> m
hcfor_ :: forall k l h c (xs :: l) g proxy f. (HTraverse_ h, AllN h c xs, Applicative g) => proxy c -> h f xs -> (forall (a :: k). c a => f a -> g ()) -> g ()
class HAp h => HSequence (h :: (k -> Type) -> l -> Type) where
- hsequence' :: forall (xs :: l) f (g :: k -> Type). (SListIN h xs, Applicative f) => h (f :.: g) xs -> f (h g xs)
- hctraverse' :: forall c (xs :: l) g proxy f f'. (AllN h c xs, Applicative g) => proxy c -> (forall (a :: k). c a => f a -> g (f' a)) -> h f xs -> g (h f' xs)
- htraverse' :: forall (xs :: l) g f f'. (SListIN h xs, Applicative g) => (forall (a :: k). f a -> g (f' a)) -> h f xs -> g (h f' xs)
hsequence :: forall l h (xs :: l) f. (SListIN h xs, SListIN (Prod h) xs, HSequence h, Applicative f) => h f xs -> f (h I xs)
hsequenceK :: forall k l h (xs :: l) f a. (SListIN h xs, SListIN (Prod h) xs, Applicative f, HSequence h) => h (K (f a) :: k -> Type) xs -> f (h (K a :: k -> Type) xs)
hctraverse :: forall l h c (xs :: l) g proxy f. (HSequence h, AllN h c xs, Applicative g) => proxy c -> (forall a. c a => f a -> g a) -> h f xs -> g (h I xs)
hcfor :: forall l h c (xs :: l) g proxy f. (HSequence h, AllN h c xs, Applicative g) => proxy c -> h f xs -> (forall a. c a => f a -> g a) -> g (h I xs)
class HExpand (h :: (k -> Type) -> l -> Type) where
- hexpand :: forall (xs :: l) f. SListIN (Prod h) xs => (forall (x :: k). f x) -> h f xs -> Prod h f xs
- hcexpand :: forall c (xs :: l) proxy f. AllN (Prod h) c xs => proxy c -> (forall (x :: k). c x => f x) -> h f xs -> Prod h f xs
class ((Same h1 :: (k2 -> Type) -> l2 -> Type) ~ h2, (Same h2 :: (k1 -> Type) -> l1 -> Type) ~ h1) => HTrans (h1 :: (k1 -> Type) -> l1 -> Type) (h2 :: (k2 -> Type) -> l2 -> Type) where
- htrans :: forall c (xs :: l1) (ys :: l2) proxy f g. AllZipN (Prod h1) c xs ys => proxy c -> (forall (x :: k1) (y :: k2). c x y => f x -> g y) -> h1 f xs -> h2 g ys
- hcoerce :: forall (f :: k1 -> Type) (g :: k2 -> Type) (xs :: l1) (ys :: l2). (AllZipN (Prod h1) (LiftedCoercible f g) xs ys, HTrans h1 h2) => h1 f xs -> h2 g ys
hfromI :: forall l1 k2 l2 h1 (f :: k2 -> Type) (xs :: l1) (ys :: l2) h2. (AllZipN (Prod h1) (LiftedCoercible I f) xs ys, HTrans h1 h2) => h1 I xs -> h2 f ys
htoI :: forall k1 l1 l2 h1 (f :: k1 -> Type) (xs :: l1) (ys :: l2) h2. (AllZipN (Prod h1) (LiftedCoercible f I) xs ys, HTrans h1 h2) => h1 f xs -> h2 I ys
fromList :: forall k (xs :: [k]) a. SListI xs => [a] -> Maybe (NP (K a :: k -> Type) xs)
newtype K a (b :: k) = K a
unK :: forall k a (b :: k). K a b -> a
newtype I a = I a
unI :: I a -> a
newtype ((f :: l -> Type) :.: (g :: k -> l)) (p :: k) = Comp (f (g p))
unComp :: forall l k f (g :: k -> l) (p :: k). (f :.: g) p -> f (g p)
mapII :: (a -> b) -> I a -> I b
mapIK :: forall k a b (c :: k). (a -> b) -> I a -> K b c
mapKI :: forall k a b (c :: k). (a -> b) -> K a c -> I b
mapKK :: forall k1 k2 a b (c :: k1) (d :: k2). (a -> b) -> K a c -> K b d
mapIII :: (a -> b -> c) -> I a -> I b -> I c
mapIIK :: forall k a b c (d :: k). (a -> b -> c) -> I a -> I b -> K c d
mapIKI :: forall k a b c (d :: k). (a -> b -> c) -> I a -> K b d -> I c
mapIKK :: forall k1 k2 a b c (d :: k1) (e :: k2). (a -> b -> c) -> I a -> K b d -> K c e
mapKII :: forall k a b c (d :: k). (a -> b -> c) -> K a d -> I b -> I c
mapKIK :: forall k1 k2 a b c (d :: k1) (e :: k2). (a -> b -> c) -> K a d -> I b -> K c e
mapKKI :: forall k1 k2 a b c (d :: k1) (e :: k2). (a -> b -> c) -> K a d -> K b e -> I c
mapKKK :: forall k1 k2 k3 a b c (d :: k1) (e :: k2) (f :: k3). (a -> b -> c) -> K a d -> K b e -> K c f
class (AllF c xs, SListI xs) => All (c :: k -> Constraint) (xs :: [k])
type All2 (c :: k -> Constraint) = All (All c)
cpara_SList :: All c xs => proxy c -> r ('[] :: [k]) -> (forall (y :: k) (ys :: [k]). (c y, All c ys) => r ys -> r (y ': ys)) -> r xs
ccase_SList :: forall k c (xs :: [k]) proxy r. All c xs => proxy c -> r ('[] :: [k]) -> (forall (y :: k) (ys :: [k]). (c y, All c ys) => r (y ': ys)) -> r xs
class (SListI xs, SListI ys, SameShapeAs xs ys, SameShapeAs ys xs, AllZipF c xs ys) => AllZip (c :: a -> b -> Constraint) (xs :: [a]) (ys :: [b])
class (AllZipF (AllZip f) xss yss, SListI xss, SListI yss, SameShapeAs xss yss, SameShapeAs yss xss) => AllZip2 (f :: a -> b -> Constraint) (xss :: [[a]]) (yss :: [[b]])
type family AllN (h :: (k -> Type) -> l -> Type) (c :: k -> Constraint) :: l -> Constraint
type family AllZipN (h :: (k -> Type) -> l -> Type) (c :: k1 -> k2 -> Constraint) :: l1 -> l2 -> Constraint
class f (g x) => Compose (f :: k -> Constraint) (g :: k1 -> k) (x :: k1)
class (f x, g x) => And (f :: k -> Constraint) (g :: k -> Constraint) (x :: k)
class Top (x :: k)
class Coercible (f x) (g y) => LiftedCoercible (f :: k -> k1) (g :: k2 -> k1) (x :: k) (y :: k2)
type family SameShapeAs (xs :: [a]) (ys :: [b]) where ...
data SList (a :: [k]) where
- SNil :: forall k. SList ('[] :: [k])
- SCons :: forall k (xs :: [k]) (x :: k). SListI xs => SList (x ': xs)
type SListI = All (Top :: k -> Constraint)
type SListI2 = All (SListI :: [k] -> Constraint)
sList :: forall k (xs :: [k]). SListI xs => SList xs
para_SList :: forall k (xs :: [k]) r. SListI xs => r ('[] :: [k]) -> (forall (y :: k) (ys :: [k]). SListI ys => r ys -> r (y ': ys)) -> r xs
case_SList :: forall k (xs :: [k]) r. SListI xs => r ('[] :: [k]) -> (forall (y :: k) (ys :: [k]). SListI ys => r (y ': ys)) -> r xs
data Shape (a :: [k]) where
- ShapeNil :: forall k. Shape ('[] :: [k])
- ShapeCons :: forall k (xs :: [k]) (x :: k). SListI xs => Shape xs -> Shape (x ': xs)
shape :: forall k (xs :: [k]). SListI xs => Shape xs
lengthSList :: forall k (xs :: [k]) proxy. SListI xs => proxy xs -> Int
data Proxy (t :: k) = Proxy

Codes and interpretations

class All SListI (Code a) => Generic (a :: Type) where Source #

The class of representable datatypes.

The SOP approach to generic programming is based on viewing datatypes as a representation (Rep) built from the sum of products of its components. The components of a datatype are specified using the Code type family.

The isomorphism between the original Haskell datatype and its representation is witnessed by the methods of this class, from and to. So for instances of this class, the following laws should (in general) hold:

to . from === id :: a -> a
from . to === id :: Rep a -> Rep a

You typically don't define instances of this class by hand, but rather derive the class instance automatically.

Option 1: Derive via the built-in GHC-generics. For this, you need to use the DeriveGeneric extension to first derive an instance of the Generic class from module GHC.Generics. With this, you can then give an empty instance for Generic, and the default definitions will just work. The pattern looks as follows:

import qualified GHC.Generics as GHC
import Generics.SOP

...

data T = ... deriving (GHC.Generic, ...)

instance Generic T -- empty
instance HasDatatypeInfo T -- empty, if you want/need metadata

Option 2: Derive via Template Haskell. For this, you need to enable the TemplateHaskell extension. You can then use deriveGeneric from module Generics.SOP.TH to have the instance generated for you. The pattern looks as follows:

import Generics.SOP
import Generics.SOP.TH

...

data T = ...

deriveGeneric ''T -- derives HasDatatypeInfo as well

Tradeoffs: Whether to use Option 1 or 2 is mainly a matter of personal taste. The version based on Template Haskell probably has less run-time overhead.

Non-standard instances: It is possible to give Generic instances manually that deviate from the standard scheme, as long as at least

to . from === id :: a -> a

still holds.

Minimal complete definition

Nothing

Associated Types

type Code a :: [[Type]] Source #

The code of a datatype.

This is a list of lists of its components. The outer list contains one element per constructor. The inner list contains one element per constructor argument (field).

Example: The datatype

data Tree = Leaf Int | Node Tree Tree

is supposed to have the following code:

type instance Code (Tree a) =
  '[ '[ Int ]
   , '[ Tree, Tree ]
   ]

type Code a = GCode a Source #

Methods

from :: a -> Rep a Source #

Converts from a value to its structural representation.

default from :: (GFrom a, Generic a, Rep a ~ SOP I (GCode a)) => a -> Rep a Source #

to :: Rep a -> a Source #

Converts from a structural representation back to the original value.

default to :: (GTo a, Generic a, Rep a ~ SOP I (GCode a)) => Rep a -> a Source #

Instances

Instances details

Generic Bool Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Bool :: [[Type]] Source # Methods from :: Bool -> Rep Bool Source # to :: Rep Bool -> Bool Source #
Generic Ordering Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Ordering :: [[Type]] Source # Methods from :: Ordering -> Rep Ordering Source # to :: Rep Ordering -> Ordering Source #
Generic RuntimeRep Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code RuntimeRep :: [[Type]] Source # Methods from :: RuntimeRep -> Rep RuntimeRep Source # to :: Rep RuntimeRep -> RuntimeRep Source #
Generic VecCount Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code VecCount :: [[Type]] Source # Methods from :: VecCount -> Rep VecCount Source # to :: Rep VecCount -> VecCount Source #
Generic VecElem Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code VecElem :: [[Type]] Source # Methods from :: VecElem -> Rep VecElem Source # to :: Rep VecElem -> VecElem Source #
Generic R Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code R :: [[Type]] Source # Methods from :: R -> Rep R Source # to :: Rep R -> R Source #
Generic D Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code D :: [[Type]] Source # Methods from :: D -> Rep D Source # to :: Rep D -> D Source #
Generic C Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code C :: [[Type]] Source # Methods from :: C -> Rep C Source # to :: Rep C -> C Source #
Generic S Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code S :: [[Type]] Source # Methods from :: S -> Rep S Source # to :: Rep S -> S Source #
Generic CallStack Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CallStack :: [[Type]] Source # Methods from :: CallStack -> Rep CallStack Source # to :: Rep CallStack -> CallStack Source #
Generic () Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code () :: [[Type]] Source # Methods from :: () -> Rep () Source # to :: Rep () -> () Source #
Generic E0 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code E0 :: [[Type]] Source # Methods from :: E0 -> Rep E0 Source # to :: Rep E0 -> E0 Source #
Generic E1 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code E1 :: [[Type]] Source # Methods from :: E1 -> Rep E1 Source # to :: Rep E1 -> E1 Source #
Generic E2 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code E2 :: [[Type]] Source # Methods from :: E2 -> Rep E2 Source # to :: Rep E2 -> E2 Source #
Generic E3 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code E3 :: [[Type]] Source # Methods from :: E3 -> Rep E3 Source # to :: Rep E3 -> E3 Source #
Generic E6 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code E6 :: [[Type]] Source # Methods from :: E6 -> Rep E6 Source # to :: Rep E6 -> E6 Source #
Generic E9 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code E9 :: [[Type]] Source # Methods from :: E9 -> Rep E9 Source # to :: Rep E9 -> E9 Source #
Generic E12 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code E12 :: [[Type]] Source # Methods from :: E12 -> Rep E12 Source # to :: Rep E12 -> E12 Source #
Generic Void Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Void :: [[Type]] Source # Methods from :: Void -> Rep Void Source # to :: Rep Void -> Void Source #
Generic SpecConstrAnnotation Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code SpecConstrAnnotation :: [[Type]] Source # Methods from :: SpecConstrAnnotation -> Rep SpecConstrAnnotation Source # to :: Rep SpecConstrAnnotation -> SpecConstrAnnotation Source #
Generic DataRep Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code DataRep :: [[Type]] Source # Methods from :: DataRep -> Rep DataRep Source # to :: Rep DataRep -> DataRep Source #
Generic ConstrRep Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ConstrRep :: [[Type]] Source # Methods from :: ConstrRep -> Rep ConstrRep Source # to :: Rep ConstrRep -> ConstrRep Source #
Generic Fixity Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Fixity :: [[Type]] Source # Methods from :: Fixity -> Rep Fixity Source # to :: Rep Fixity -> Fixity Source #
Generic SrcLoc Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code SrcLoc :: [[Type]] Source # Methods from :: SrcLoc -> Rep SrcLoc Source # to :: Rep SrcLoc -> SrcLoc Source #
Generic Location Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Location :: [[Type]] Source # Methods from :: Location -> Rep Location Source # to :: Rep Location -> Location Source #
Generic GiveGCStats Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code GiveGCStats :: [[Type]] Source # Methods from :: GiveGCStats -> Rep GiveGCStats Source # to :: Rep GiveGCStats -> GiveGCStats Source #
Generic GCFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code GCFlags :: [[Type]] Source # Methods from :: GCFlags -> Rep GCFlags Source # to :: Rep GCFlags -> GCFlags Source #
Generic ConcFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ConcFlags :: [[Type]] Source # Methods from :: ConcFlags -> Rep ConcFlags Source # to :: Rep ConcFlags -> ConcFlags Source #
Generic MiscFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code MiscFlags :: [[Type]] Source # Methods from :: MiscFlags -> Rep MiscFlags Source # to :: Rep MiscFlags -> MiscFlags Source #
Generic DebugFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code DebugFlags :: [[Type]] Source # Methods from :: DebugFlags -> Rep DebugFlags Source # to :: Rep DebugFlags -> DebugFlags Source #
Generic DoCostCentres Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code DoCostCentres :: [[Type]] Source # Methods from :: DoCostCentres -> Rep DoCostCentres Source # to :: Rep DoCostCentres -> DoCostCentres Source #
Generic CCFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CCFlags :: [[Type]] Source # Methods from :: CCFlags -> Rep CCFlags Source # to :: Rep CCFlags -> CCFlags Source #
Generic DoHeapProfile Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code DoHeapProfile :: [[Type]] Source # Methods from :: DoHeapProfile -> Rep DoHeapProfile Source # to :: Rep DoHeapProfile -> DoHeapProfile Source #
Generic ProfFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ProfFlags :: [[Type]] Source # Methods from :: ProfFlags -> Rep ProfFlags Source # to :: Rep ProfFlags -> ProfFlags Source #
Generic DoTrace Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code DoTrace :: [[Type]] Source # Methods from :: DoTrace -> Rep DoTrace Source # to :: Rep DoTrace -> DoTrace Source #
Generic TraceFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code TraceFlags :: [[Type]] Source # Methods from :: TraceFlags -> Rep TraceFlags Source # to :: Rep TraceFlags -> TraceFlags Source #
Generic TickyFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code TickyFlags :: [[Type]] Source # Methods from :: TickyFlags -> Rep TickyFlags Source # to :: Rep TickyFlags -> TickyFlags Source #
Generic ParFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ParFlags :: [[Type]] Source # Methods from :: ParFlags -> Rep ParFlags Source # to :: Rep ParFlags -> ParFlags Source #
Generic RTSFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code RTSFlags :: [[Type]] Source # Methods from :: RTSFlags -> Rep RTSFlags Source # to :: Rep RTSFlags -> RTSFlags Source #
Generic RTSStats Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code RTSStats :: [[Type]] Source # Methods from :: RTSStats -> Rep RTSStats Source # to :: Rep RTSStats -> RTSStats Source #
Generic GCDetails Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code GCDetails :: [[Type]] Source # Methods from :: GCDetails -> Rep GCDetails Source # to :: Rep GCDetails -> GCDetails Source #
Generic ByteOrder Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ByteOrder :: [[Type]] Source # Methods from :: ByteOrder -> Rep ByteOrder Source # to :: Rep ByteOrder -> ByteOrder Source #
Generic StaticPtrInfo Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code StaticPtrInfo :: [[Type]] Source # Methods from :: StaticPtrInfo -> Rep StaticPtrInfo Source # to :: Rep StaticPtrInfo -> StaticPtrInfo Source #
Generic FormatAdjustment Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code FormatAdjustment :: [[Type]] Source # Methods from :: FormatAdjustment -> Rep FormatAdjustment Source # to :: Rep FormatAdjustment -> FormatAdjustment Source #
Generic FormatSign Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code FormatSign :: [[Type]] Source # Methods from :: FormatSign -> Rep FormatSign Source # to :: Rep FormatSign -> FormatSign Source #
Generic FieldFormat Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code FieldFormat :: [[Type]] Source # Methods from :: FieldFormat -> Rep FieldFormat Source # to :: Rep FieldFormat -> FieldFormat Source #
Generic FormatParse Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code FormatParse :: [[Type]] Source # Methods from :: FormatParse -> Rep FormatParse Source # to :: Rep FormatParse -> FormatParse Source #
Generic Version Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Version :: [[Type]] Source # Methods from :: Version -> Rep Version Source # to :: Rep Version -> Version Source #
Generic HandlePosn Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code HandlePosn :: [[Type]] Source # Methods from :: HandlePosn -> Rep HandlePosn Source # to :: Rep HandlePosn -> HandlePosn Source #
Generic LockMode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code LockMode :: [[Type]] Source # Methods from :: LockMode -> Rep LockMode Source # to :: Rep LockMode -> LockMode Source #
Generic PatternMatchFail Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code PatternMatchFail :: [[Type]] Source # Methods from :: PatternMatchFail -> Rep PatternMatchFail Source # to :: Rep PatternMatchFail -> PatternMatchFail Source #
Generic RecSelError Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code RecSelError :: [[Type]] Source # Methods from :: RecSelError -> Rep RecSelError Source # to :: Rep RecSelError -> RecSelError Source #
Generic RecConError Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code RecConError :: [[Type]] Source # Methods from :: RecConError -> Rep RecConError Source # to :: Rep RecConError -> RecConError Source #
Generic RecUpdError Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code RecUpdError :: [[Type]] Source # Methods from :: RecUpdError -> Rep RecUpdError Source # to :: Rep RecUpdError -> RecUpdError Source #
Generic NoMethodError Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code NoMethodError :: [[Type]] Source # Methods from :: NoMethodError -> Rep NoMethodError Source # to :: Rep NoMethodError -> NoMethodError Source #
Generic TypeError Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code TypeError :: [[Type]] Source # Methods from :: TypeError -> Rep TypeError Source # to :: Rep TypeError -> TypeError Source #
Generic NonTermination Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code NonTermination :: [[Type]] Source # Methods from :: NonTermination -> Rep NonTermination Source # to :: Rep NonTermination -> NonTermination Source #
Generic NestedAtomically Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code NestedAtomically :: [[Type]] Source # Methods from :: NestedAtomically -> Rep NestedAtomically Source # to :: Rep NestedAtomically -> NestedAtomically Source #
Generic BlockReason Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code BlockReason :: [[Type]] Source # Methods from :: BlockReason -> Rep BlockReason Source # to :: Rep BlockReason -> BlockReason Source #
Generic ThreadStatus Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ThreadStatus :: [[Type]] Source # Methods from :: ThreadStatus -> Rep ThreadStatus Source # to :: Rep ThreadStatus -> ThreadStatus Source #
Generic Errno Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Errno :: [[Type]] Source # Methods from :: Errno -> Rep Errno Source # to :: Rep Errno -> Errno Source #
Generic CodingFailureMode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CodingFailureMode :: [[Type]] Source # Methods from :: CodingFailureMode -> Rep CodingFailureMode Source # to :: Rep CodingFailureMode -> CodingFailureMode Source #
Generic BlockedIndefinitelyOnMVar Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code BlockedIndefinitelyOnMVar :: [[Type]] Source # Methods from :: BlockedIndefinitelyOnMVar -> Rep BlockedIndefinitelyOnMVar Source # to :: Rep BlockedIndefinitelyOnMVar -> BlockedIndefinitelyOnMVar Source #
Generic BlockedIndefinitelyOnSTM Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code BlockedIndefinitelyOnSTM :: [[Type]] Source # Methods from :: BlockedIndefinitelyOnSTM -> Rep BlockedIndefinitelyOnSTM Source # to :: Rep BlockedIndefinitelyOnSTM -> BlockedIndefinitelyOnSTM Source #
Generic Deadlock Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Deadlock :: [[Type]] Source # Methods from :: Deadlock -> Rep Deadlock Source # to :: Rep Deadlock -> Deadlock Source #
Generic AllocationLimitExceeded Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code AllocationLimitExceeded :: [[Type]] Source # Methods from :: AllocationLimitExceeded -> Rep AllocationLimitExceeded Source # to :: Rep AllocationLimitExceeded -> AllocationLimitExceeded Source #
Generic AssertionFailed Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code AssertionFailed :: [[Type]] Source # Methods from :: AssertionFailed -> Rep AssertionFailed Source # to :: Rep AssertionFailed -> AssertionFailed Source #
Generic AsyncException Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code AsyncException :: [[Type]] Source # Methods from :: AsyncException -> Rep AsyncException Source # to :: Rep AsyncException -> AsyncException Source #
Generic ArrayException Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ArrayException :: [[Type]] Source # Methods from :: ArrayException -> Rep ArrayException Source # to :: Rep ArrayException -> ArrayException Source #
Generic FixIOException Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code FixIOException :: [[Type]] Source # Methods from :: FixIOException -> Rep FixIOException Source # to :: Rep FixIOException -> FixIOException Source #
Generic ExitCode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ExitCode :: [[Type]] Source # Methods from :: ExitCode -> Rep ExitCode Source # to :: Rep ExitCode -> ExitCode Source #
Generic IOErrorType Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code IOErrorType :: [[Type]] Source # Methods from :: IOErrorType -> Rep IOErrorType Source # to :: Rep IOErrorType -> IOErrorType Source #
Generic BufferMode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code BufferMode :: [[Type]] Source # Methods from :: BufferMode -> Rep BufferMode Source # to :: Rep BufferMode -> BufferMode Source #
Generic Newline Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Newline :: [[Type]] Source # Methods from :: Newline -> Rep Newline Source # to :: Rep Newline -> Newline Source #
Generic NewlineMode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code NewlineMode :: [[Type]] Source # Methods from :: NewlineMode -> Rep NewlineMode Source # to :: Rep NewlineMode -> NewlineMode Source #
Generic IODeviceType Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code IODeviceType :: [[Type]] Source # Methods from :: IODeviceType -> Rep IODeviceType Source # to :: Rep IODeviceType -> IODeviceType Source #
Generic SeekMode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code SeekMode :: [[Type]] Source # Methods from :: SeekMode -> Rep SeekMode Source # to :: Rep SeekMode -> SeekMode Source #
Generic CodingProgress Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CodingProgress :: [[Type]] Source # Methods from :: CodingProgress -> Rep CodingProgress Source # to :: Rep CodingProgress -> CodingProgress Source #
Generic BufferState Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code BufferState :: [[Type]] Source # Methods from :: BufferState -> Rep BufferState Source # to :: Rep BufferState -> BufferState Source #
Generic MaskingState Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code MaskingState :: [[Type]] Source # Methods from :: MaskingState -> Rep MaskingState Source # to :: Rep MaskingState -> MaskingState Source #
Generic IOException Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code IOException :: [[Type]] Source # Methods from :: IOException -> Rep IOException Source # to :: Rep IOException -> IOException Source #
Generic ErrorCall Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ErrorCall :: [[Type]] Source # Methods from :: ErrorCall -> Rep ErrorCall Source # to :: Rep ErrorCall -> ErrorCall Source #
Generic ArithException Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ArithException :: [[Type]] Source # Methods from :: ArithException -> Rep ArithException Source # to :: Rep ArithException -> ArithException Source #
Generic All Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code All :: [[Type]] Source # Methods from :: All -> Rep All Source # to :: Rep All -> All Source #
Generic Any Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Any :: [[Type]] Source # Methods from :: Any -> Rep Any Source # to :: Rep Any -> Any Source #
Generic Fixity Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Fixity :: [[Type]] Source # Methods from :: Fixity -> Rep Fixity Source # to :: Rep Fixity -> Fixity Source #
Generic Associativity Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Associativity :: [[Type]] Source # Methods from :: Associativity -> Rep Associativity Source # to :: Rep Associativity -> Associativity Source #
Generic SourceUnpackedness Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code SourceUnpackedness :: [[Type]] Source # Methods from :: SourceUnpackedness -> Rep SourceUnpackedness Source # to :: Rep SourceUnpackedness -> SourceUnpackedness Source #
Generic SourceStrictness Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code SourceStrictness :: [[Type]] Source # Methods from :: SourceStrictness -> Rep SourceStrictness Source # to :: Rep SourceStrictness -> SourceStrictness Source #
Generic DecidedStrictness Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code DecidedStrictness :: [[Type]] Source # Methods from :: DecidedStrictness -> Rep DecidedStrictness Source # to :: Rep DecidedStrictness -> DecidedStrictness Source #
Generic CChar Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CChar :: [[Type]] Source # Methods from :: CChar -> Rep CChar Source # to :: Rep CChar -> CChar Source #
Generic CSChar Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CSChar :: [[Type]] Source # Methods from :: CSChar -> Rep CSChar Source # to :: Rep CSChar -> CSChar Source #
Generic CUChar Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CUChar :: [[Type]] Source # Methods from :: CUChar -> Rep CUChar Source # to :: Rep CUChar -> CUChar Source #
Generic CShort Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CShort :: [[Type]] Source # Methods from :: CShort -> Rep CShort Source # to :: Rep CShort -> CShort Source #
Generic CUShort Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CUShort :: [[Type]] Source # Methods from :: CUShort -> Rep CUShort Source # to :: Rep CUShort -> CUShort Source #
Generic CInt Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CInt :: [[Type]] Source # Methods from :: CInt -> Rep CInt Source # to :: Rep CInt -> CInt Source #
Generic CUInt Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CUInt :: [[Type]] Source # Methods from :: CUInt -> Rep CUInt Source # to :: Rep CUInt -> CUInt Source #
Generic CLong Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CLong :: [[Type]] Source # Methods from :: CLong -> Rep CLong Source # to :: Rep CLong -> CLong Source #
Generic CULong Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CULong :: [[Type]] Source # Methods from :: CULong -> Rep CULong Source # to :: Rep CULong -> CULong Source #
Generic CLLong Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CLLong :: [[Type]] Source # Methods from :: CLLong -> Rep CLLong Source # to :: Rep CLLong -> CLLong Source #
Generic CULLong Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CULLong :: [[Type]] Source # Methods from :: CULLong -> Rep CULLong Source # to :: Rep CULLong -> CULLong Source #
Generic CFloat Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CFloat :: [[Type]] Source # Methods from :: CFloat -> Rep CFloat Source # to :: Rep CFloat -> CFloat Source #
Generic CDouble Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CDouble :: [[Type]] Source # Methods from :: CDouble -> Rep CDouble Source # to :: Rep CDouble -> CDouble Source #
Generic CPtrdiff Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CPtrdiff :: [[Type]] Source # Methods from :: CPtrdiff -> Rep CPtrdiff Source # to :: Rep CPtrdiff -> CPtrdiff Source #
Generic CSize Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CSize :: [[Type]] Source # Methods from :: CSize -> Rep CSize Source # to :: Rep CSize -> CSize Source #
Generic CWchar Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CWchar :: [[Type]] Source # Methods from :: CWchar -> Rep CWchar Source # to :: Rep CWchar -> CWchar Source #
Generic CSigAtomic Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CSigAtomic :: [[Type]] Source # Methods from :: CSigAtomic -> Rep CSigAtomic Source # to :: Rep CSigAtomic -> CSigAtomic Source #
Generic CClock Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CClock :: [[Type]] Source # Methods from :: CClock -> Rep CClock Source # to :: Rep CClock -> CClock Source #
Generic CTime Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CTime :: [[Type]] Source # Methods from :: CTime -> Rep CTime Source # to :: Rep CTime -> CTime Source #
Generic CUSeconds Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CUSeconds :: [[Type]] Source # Methods from :: CUSeconds -> Rep CUSeconds Source # to :: Rep CUSeconds -> CUSeconds Source #
Generic CSUSeconds Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CSUSeconds :: [[Type]] Source # Methods from :: CSUSeconds -> Rep CSUSeconds Source # to :: Rep CSUSeconds -> CSUSeconds Source #
Generic CIntPtr Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CIntPtr :: [[Type]] Source # Methods from :: CIntPtr -> Rep CIntPtr Source # to :: Rep CIntPtr -> CIntPtr Source #
Generic CUIntPtr Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CUIntPtr :: [[Type]] Source # Methods from :: CUIntPtr -> Rep CUIntPtr Source # to :: Rep CUIntPtr -> CUIntPtr Source #
Generic CIntMax Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CIntMax :: [[Type]] Source # Methods from :: CIntMax -> Rep CIntMax Source # to :: Rep CIntMax -> CIntMax Source #
Generic CUIntMax Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code CUIntMax :: [[Type]] Source # Methods from :: CUIntMax -> Rep CUIntMax Source # to :: Rep CUIntMax -> CUIntMax Source #
Generic IOMode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code IOMode :: [[Type]] Source # Methods from :: IOMode -> Rep IOMode Source # to :: Rep IOMode -> IOMode Source #
Generic Fingerprint Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Fingerprint :: [[Type]] Source # Methods from :: Fingerprint -> Rep Fingerprint Source # to :: Rep Fingerprint -> Fingerprint Source #
Generic Lexeme Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Lexeme :: [[Type]] Source # Methods from :: Lexeme -> Rep Lexeme Source # to :: Rep Lexeme -> Lexeme Source #
Generic Number Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Number :: [[Type]] Source # Methods from :: Number -> Rep Number Source # to :: Rep Number -> Number Source #
Generic FFFormat Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code FFFormat :: [[Type]] Source # Methods from :: FFFormat -> Rep FFFormat Source # to :: Rep FFFormat -> FFFormat Source #
Generic GeneralCategory Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code GeneralCategory :: [[Type]] Source # Methods from :: GeneralCategory -> Rep GeneralCategory Source # to :: Rep GeneralCategory -> GeneralCategory Source #
Generic SrcLoc Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code SrcLoc :: [[Type]] Source # Methods from :: SrcLoc -> Rep SrcLoc Source # to :: Rep SrcLoc -> SrcLoc Source #
Generic [a] Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code [a] :: [[Type]] Source # Methods from :: [a] -> Rep [a] Source # to :: Rep [a] -> [a] Source #
Generic (Maybe a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Maybe a) :: [[Type]] Source # Methods from :: Maybe a -> Rep (Maybe a) Source # to :: Rep (Maybe a) -> Maybe a Source #
Generic (Par1 p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Par1 p) :: [[Type]] Source # Methods from :: Par1 p -> Rep (Par1 p) Source # to :: Rep (Par1 p) -> Par1 p Source #
Generic (Complex a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Complex a) :: [[Type]] Source # Methods from :: Complex a -> Rep (Complex a) Source # to :: Rep (Complex a) -> Complex a Source #
Generic (Fixed a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Fixed a) :: [[Type]] Source # Methods from :: Fixed a -> Rep (Fixed a) Source # to :: Rep (Fixed a) -> Fixed a Source #
Generic (Min a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Min a) :: [[Type]] Source # Methods from :: Min a -> Rep (Min a) Source # to :: Rep (Min a) -> Min a Source #
Generic (Max a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Max a) :: [[Type]] Source # Methods from :: Max a -> Rep (Max a) Source # to :: Rep (Max a) -> Max a Source #
Generic (First a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (First a) :: [[Type]] Source # Methods from :: First a -> Rep (First a) Source # to :: Rep (First a) -> First a Source #
Generic (Last a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Last a) :: [[Type]] Source # Methods from :: Last a -> Rep (Last a) Source # to :: Rep (Last a) -> Last a Source #
Generic (WrappedMonoid m) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (WrappedMonoid m) :: [[Type]] Source # Methods from :: WrappedMonoid m -> Rep (WrappedMonoid m) Source # to :: Rep (WrappedMonoid m) -> WrappedMonoid m Source #
Generic (Option a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Option a) :: [[Type]] Source # Methods from :: Option a -> Rep (Option a) Source # to :: Rep (Option a) -> Option a Source #
Generic (ArgOrder a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (ArgOrder a) :: [[Type]] Source # Methods from :: ArgOrder a -> Rep (ArgOrder a) Source # to :: Rep (ArgOrder a) -> ArgOrder a Source #
Generic (OptDescr a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (OptDescr a) :: [[Type]] Source # Methods from :: OptDescr a -> Rep (OptDescr a) Source # to :: Rep (OptDescr a) -> OptDescr a Source #
Generic (ArgDescr a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (ArgDescr a) :: [[Type]] Source # Methods from :: ArgDescr a -> Rep (ArgDescr a) Source # to :: Rep (ArgDescr a) -> ArgDescr a Source #
Generic (Identity a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Identity a) :: [[Type]] Source # Methods from :: Identity a -> Rep (Identity a) Source # to :: Rep (Identity a) -> Identity a Source #
Generic (Buffer e) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Buffer e) :: [[Type]] Source # Methods from :: Buffer e -> Rep (Buffer e) Source # to :: Rep (Buffer e) -> Buffer e Source #
Generic (First a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (First a) :: [[Type]] Source # Methods from :: First a -> Rep (First a) Source # to :: Rep (First a) -> First a Source #
Generic (Last a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Last a) :: [[Type]] Source # Methods from :: Last a -> Rep (Last a) Source # to :: Rep (Last a) -> Last a Source #
Generic (Dual a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Dual a) :: [[Type]] Source # Methods from :: Dual a -> Rep (Dual a) Source # to :: Rep (Dual a) -> Dual a Source #
Generic (Endo a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Endo a) :: [[Type]] Source # Methods from :: Endo a -> Rep (Endo a) Source # to :: Rep (Endo a) -> Endo a Source #
Generic (Sum a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Sum a) :: [[Type]] Source # Methods from :: Sum a -> Rep (Sum a) Source # to :: Rep (Sum a) -> Sum a Source #
Generic (Product a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Product a) :: [[Type]] Source # Methods from :: Product a -> Rep (Product a) Source # to :: Rep (Product a) -> Product a Source #
Generic (Down a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Down a) :: [[Type]] Source # Methods from :: Down a -> Rep (Down a) Source # to :: Rep (Down a) -> Down a Source #
Generic (NonEmpty a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (NonEmpty a) :: [[Type]] Source # Methods from :: NonEmpty a -> Rep (NonEmpty a) Source # to :: Rep (NonEmpty a) -> NonEmpty a Source #
Generic (I a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (I a) :: [[Type]] Source # Methods from :: I a -> Rep (I a) Source # to :: Rep (I a) -> I a Source #
Generic (Either a b) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Either a b) :: [[Type]] Source # Methods from :: Either a b -> Rep (Either a b) Source # to :: Rep (Either a b) -> Either a b Source #
Generic (V1 p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (V1 p) :: [[Type]] Source # Methods from :: V1 p -> Rep (V1 p) Source # to :: Rep (V1 p) -> V1 p Source #
Generic (U1 p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (U1 p) :: [[Type]] Source # Methods from :: U1 p -> Rep (U1 p) Source # to :: Rep (U1 p) -> U1 p Source #
Generic (a, b) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b) :: [[Type]] Source # Methods from :: (a, b) -> Rep (a, b) Source # to :: Rep (a, b) -> (a, b) Source #
Generic (Arg a b) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Arg a b) :: [[Type]] Source # Methods from :: Arg a b -> Rep (Arg a b) Source # to :: Rep (Arg a b) -> Arg a b Source #
Generic (Proxy t) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Proxy t) :: [[Type]] Source # Methods from :: Proxy t -> Rep (Proxy t) Source # to :: Rep (Proxy t) -> Proxy t Source #
Generic (a, b, c) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c) :: [[Type]] Source # Methods from :: (a, b, c) -> Rep (a, b, c) Source # to :: Rep (a, b, c) -> (a, b, c) Source #
Generic (BufferCodec from to state) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (BufferCodec from to state) :: [[Type]] Source # Methods from :: BufferCodec from to state -> Rep (BufferCodec from to state) Source # to :: Rep (BufferCodec from to state) -> BufferCodec from to state Source #
Generic (Const a b) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Const a b) :: [[Type]] Source # Methods from :: Const a b -> Rep (Const a b) Source # to :: Rep (Const a b) -> Const a b Source #
Generic (Alt f a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Alt f a) :: [[Type]] Source # Methods from :: Alt f a -> Rep (Alt f a) Source # to :: Rep (Alt f a) -> Alt f a Source #
Generic (K a b) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (K a b) :: [[Type]] Source # Methods from :: K a b -> Rep (K a b) Source # to :: Rep (K a b) -> K a b Source #
Generic (K1 i c p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (K1 i c p) :: [[Type]] Source # Methods from :: K1 i c p -> Rep (K1 i c p) Source # to :: Rep (K1 i c p) -> K1 i c p Source #
Generic ((f :+: g) p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ((f :+: g) p) :: [[Type]] Source # Methods from :: (f :+: g) p -> Rep ((f :+: g) p) Source # to :: Rep ((f :+: g) p) -> (f :+: g) p Source #
Generic ((f :*: g) p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ((f :: g) p) :: [[Type]] Source # Methods from :: (f :: g) p -> Rep ((f :: g) p) Source # to :: Rep ((f :: g) p) -> (f :*: g) p Source #
Generic (a, b, c, d) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d) :: [[Type]] Source # Methods from :: (a, b, c, d) -> Rep (a, b, c, d) Source # to :: Rep (a, b, c, d) -> (a, b, c, d) Source #
Generic (Product f g a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Product f g a) :: [[Type]] Source # Methods from :: Product f g a -> Rep (Product f g a) Source # to :: Rep (Product f g a) -> Product f g a Source #
Generic (Sum f g a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Sum f g a) :: [[Type]] Source # Methods from :: Sum f g a -> Rep (Sum f g a) Source # to :: Rep (Sum f g a) -> Sum f g a Source #
Generic ((f -.-> g) a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ((f -.-> g) a) :: [[Type]] Source # Methods from :: (f -.-> g) a -> Rep ((f -.-> g) a) Source # to :: Rep ((f -.-> g) a) -> (f -.-> g) a Source #
Generic (M1 i c f p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (M1 i c f p) :: [[Type]] Source # Methods from :: M1 i c f p -> Rep (M1 i c f p) Source # to :: Rep (M1 i c f p) -> M1 i c f p Source #
Generic ((f :.: g) p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ((f :.: g) p) :: [[Type]] Source # Methods from :: (f :.: g) p -> Rep ((f :.: g) p) Source # to :: Rep ((f :.: g) p) -> (f :.: g) p Source #
Generic (a, b, c, d, e) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e) :: [[Type]] Source # Methods from :: (a, b, c, d, e) -> Rep (a, b, c, d, e) Source # to :: Rep (a, b, c, d, e) -> (a, b, c, d, e) Source #
Generic (Compose f g a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Compose f g a) :: [[Type]] Source # Methods from :: Compose f g a -> Rep (Compose f g a) Source # to :: Rep (Compose f g a) -> Compose f g a Source #
Generic ((f :.: g) p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ((f :.: g) p) :: [[Type]] Source # Methods from :: (f :.: g) p -> Rep ((f :.: g) p) Source # to :: Rep ((f :.: g) p) -> (f :.: g) p Source #
Generic (a, b, c, d, e, f) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f) -> Rep (a, b, c, d, e, f) Source # to :: Rep (a, b, c, d, e, f) -> (a, b, c, d, e, f) Source #
Generic (a, b, c, d, e, f, g) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g) -> Rep (a, b, c, d, e, f, g) Source # to :: Rep (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) Source #
Generic (a, b, c, d, e, f, g, h) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h) -> Rep (a, b, c, d, e, f, g, h) Source # to :: Rep (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) Source #
Generic (a, b, c, d, e, f, g, h, i) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i) -> Rep (a, b, c, d, e, f, g, h, i) Source # to :: Rep (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) Source #
Generic (a, b, c, d, e, f, g, h, i, j) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j) -> Rep (a, b, c, d, e, f, g, h, i, j) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k) -> Rep (a, b, c, d, e, f, g, h, i, j, k) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28) Source #
Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28, t29) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28, t29) :: [[Type]] Source # Methods from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28, t29) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28, t29) Source # to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28, t29) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28, t29) Source #

type Rep a = SOP I (Code a) Source #

The (generic) representation of a datatype.

A datatype is isomorphic to the sum-of-products of its code. The isomorphism is witnessed by from and to from the Generic class.

type IsProductType (a :: Type) (xs :: [Type]) = (Generic a, Code a ~ '[xs]) Source #

Constraint that captures that a datatype is a product type, i.e., a type with a single constructor.

It also gives access to the code for the arguments of that constructor.

Since: 0.3.1.0

type ProductCode (a :: Type) = Head (Code a) Source #

Direct access to the part of the code that is relevant for a product type.

Since: 0.4.0.0

productTypeFrom :: IsProductType a xs => a -> NP I xs Source #

Convert from a product type to its product representation.

Since: 0.4.0.0

productTypeTo :: IsProductType a xs => NP I xs -> a Source #

Convert a product representation to the original type.

Since: 0.4.0.0

type IsEnumType (a :: Type) = (Generic a, All ((~) '[]) (Code a)) Source #

Constraint that captures that a datatype is an enumeration type, i.e., none of the constructors have any arguments.

Since: 0.3.1.0

enumTypeFrom :: IsEnumType a => a -> NS (K ()) (Code a) Source #

Convert from an enum type to its sum representation.

Since: 0.4.0.0

enumTypeTo :: IsEnumType a => NS (K ()) (Code a) -> a Source #

Convert a sum representation to ihe original type.

type IsWrappedType (a :: Type) (x :: Type) = (Generic a, Code a ~ '['[x]]) Source #

Constraint that captures that a datatype is a single-constructor, single-field datatype. This always holds for newtype-defined types, but it can also be true for data-defined types.

The constraint also gives access to the type that is wrapped.

Since: 0.3.1.0

type WrappedCode (a :: Type) = Head (Head (Code a)) Source #

Direct access to the part of the code that is relevant for wrapped types and newtypes.

Since: 0.4.0.0

wrappedTypeFrom :: IsWrappedType a x => a -> x Source #

Convert from a wrapped type to its inner type.

Since: 0.4.0.0

wrappedTypeTo :: IsWrappedType a x => x -> a Source #

Convert a type to a wrapped type.

Since: 0.4.0.0

type IsNewtype (a :: Type) (x :: Type) = (IsWrappedType a x, Coercible a x) Source #

Constraint that captures that a datatype is a newtype. This makes use of the fact that newtypes are always coercible to the type they wrap, whereas datatypes are not.

Since: 0.3.1.0

newtypeFrom :: IsNewtype a x => a -> x Source #

Convert a newtype to its inner type.

This is a specialised synonym for coerce.

Since: 0.4.0.0

newtypeTo :: IsNewtype a x => x -> a Source #

Convert a type to a newtype.

This is a specialised synonym for coerce.

Since: 0.4.0.0

n-ary datatypes

data NP (a :: k -> Type) (b :: [k]) where #

Constructors

Nil :: forall k (a :: k -> Type). NP a ('[] :: [k])
(:*) :: forall k (a :: k -> Type) (x :: k) (xs :: [k]). a x -> NP a xs -> NP a (x ': xs)

Instances

Instances details

HTrans (NP :: (k1 -> Type) -> [k1] -> Type) (NP :: (k2 -> Type) -> [k2] -> Type)
Instance details Defined in Data.SOP.NP Methods htrans :: forall c (xs :: l1) (ys :: l2) proxy f g. AllZipN (Prod NP) c xs ys => proxy c -> (forall (x :: k10) (y :: k20). c x y => f x -> g y) -> NP f xs -> NP g ys # hcoerce :: forall (f :: k10 -> Type) (g :: k20 -> Type) (xs :: l1) (ys :: l2). (AllZipN (Prod NP) (LiftedCoercible f g) xs ys, HTrans NP NP) => NP f xs -> NP g ys #
HAp (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP Methods hap :: forall (f :: k0 -> Type) (g :: k0 -> Type) (xs :: l). Prod NP (f -.-> g) xs -> NP f xs -> NP g xs #
HCollapse (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP Methods hcollapse :: forall (xs :: l) a. SListIN NP xs => NP (K a) xs -> CollapseTo NP a #
HPure (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP Methods hpure :: forall (xs :: l) f. SListIN NP xs => (forall (a :: k0). f a) -> NP f xs # hcpure :: forall c (xs :: l) proxy f. AllN NP c xs => proxy c -> (forall (a :: k0). c a => f a) -> NP f xs #
HSequence (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP Methods hsequence' :: forall (xs :: l) f (g :: k0 -> Type). (SListIN NP xs, Applicative f) => NP (f :.: g) xs -> f (NP g xs) # hctraverse' :: forall c (xs :: l) g proxy f f'. (AllN NP c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g (f' a)) -> NP f xs -> g (NP f' xs) # htraverse' :: forall (xs :: l) g f f'. (SListIN NP xs, Applicative g) => (forall (a :: k0). f a -> g (f' a)) -> NP f xs -> g (NP f' xs) #
HTraverse_ (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP Methods hctraverse_ :: forall c (xs :: l) g proxy f. (AllN NP c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g ()) -> NP f xs -> g () # htraverse_ :: forall (xs :: l) g f. (SListIN NP xs, Applicative g) => (forall (a :: k0). f a -> g ()) -> NP f xs -> g () #
All (Compose Eq f) xs => Eq (NP f xs)
Instance details Defined in Data.SOP.NP Methods (==) :: NP f xs -> NP f xs -> Bool # (/=) :: NP f xs -> NP f xs -> Bool #
(All (Compose Eq f) xs, All (Compose Ord f) xs) => Ord (NP f xs)
Instance details Defined in Data.SOP.NP Methods compare :: NP f xs -> NP f xs -> Ordering # (<) :: NP f xs -> NP f xs -> Bool # (<=) :: NP f xs -> NP f xs -> Bool # (>) :: NP f xs -> NP f xs -> Bool # (>=) :: NP f xs -> NP f xs -> Bool # max :: NP f xs -> NP f xs -> NP f xs # min :: NP f xs -> NP f xs -> NP f xs #
All (Compose Show f) xs => Show (NP f xs)
Instance details Defined in Data.SOP.NP Methods showsPrec :: Int -> NP f xs -> ShowS # show :: NP f xs -> String # showList :: [NP f xs] -> ShowS #
All (Compose Semigroup f) xs => Semigroup (NP f xs)
Instance details Defined in Data.SOP.NP Methods (<>) :: NP f xs -> NP f xs -> NP f xs # sconcat :: NonEmpty (NP f xs) -> NP f xs # stimes :: Integral b => b -> NP f xs -> NP f xs #
(All (Compose Monoid f) xs, All (Compose Semigroup f) xs) => Monoid (NP f xs)
Instance details Defined in Data.SOP.NP Methods mempty :: NP f xs # mappend :: NP f xs -> NP f xs -> NP f xs # mconcat :: [NP f xs] -> NP f xs #
All (Compose NFData f) xs => NFData (NP f xs)
Instance details Defined in Data.SOP.NP Methods rnf :: NP f xs -> () #
type AllZipN (NP :: (k -> Type) -> [k] -> Type) (c :: a -> b -> Constraint)
Instance details Defined in Data.SOP.NP type AllZipN (NP :: (k -> Type) -> [k] -> Type) (c :: a -> b -> Constraint) = AllZip c
type Same (NP :: (k1 -> Type) -> [k1] -> Type)
Instance details Defined in Data.SOP.NP type Same (NP :: (k1 -> Type) -> [k1] -> Type) = NP :: (k2 -> Type) -> [k2] -> Type
type Prod (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP type Prod (NP :: (k -> Type) -> [k] -> Type) = NP :: (k -> Type) -> [k] -> Type
type UnProd (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS type UnProd (NP :: (k -> Type) -> [k] -> Type) = NS :: (k -> Type) -> [k] -> Type
type SListIN (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP type SListIN (NP :: (k -> Type) -> [k] -> Type) = SListI :: [k] -> Constraint
type CollapseTo (NP :: (k -> Type) -> [k] -> Type) a
Instance details Defined in Data.SOP.NP type CollapseTo (NP :: (k -> Type) -> [k] -> Type) a = [a]
type AllN (NP :: (k -> Type) -> [k] -> Type) (c :: k -> Constraint)
Instance details Defined in Data.SOP.NP type AllN (NP :: (k -> Type) -> [k] -> Type) (c :: k -> Constraint) = All c

data NS (a :: k -> Type) (b :: [k]) where #

Constructors

Z :: forall k (a :: k -> Type) (x :: k) (xs :: [k]). a x -> NS a (x ': xs)
S :: forall k (a :: k -> Type) (xs :: [k]) (x :: k). NS a xs -> NS a (x ': xs)

Instances

Instances details

HTrans (NS :: (k1 -> Type) -> [k1] -> Type) (NS :: (k2 -> Type) -> [k2] -> Type)
Instance details Defined in Data.SOP.NS Methods htrans :: forall c (xs :: l1) (ys :: l2) proxy f g. AllZipN (Prod NS) c xs ys => proxy c -> (forall (x :: k10) (y :: k20). c x y => f x -> g y) -> NS f xs -> NS g ys # hcoerce :: forall (f :: k10 -> Type) (g :: k20 -> Type) (xs :: l1) (ys :: l2). (AllZipN (Prod NS) (LiftedCoercible f g) xs ys, HTrans NS NS) => NS f xs -> NS g ys #
HAp (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hap :: forall (f :: k0 -> Type) (g :: k0 -> Type) (xs :: l). Prod NS (f -.-> g) xs -> NS f xs -> NS g xs #
HApInjs (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hapInjs :: forall (xs :: l) (f :: k0 -> Type). SListIN NS xs => Prod NS f xs -> [NS f xs] #
HCollapse (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hcollapse :: forall (xs :: l) a. SListIN NS xs => NS (K a) xs -> CollapseTo NS a #
HExpand (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hexpand :: forall (xs :: l) f. SListIN (Prod NS) xs => (forall (x :: k0). f x) -> NS f xs -> Prod NS f xs # hcexpand :: forall c (xs :: l) proxy f. AllN (Prod NS) c xs => proxy c -> (forall (x :: k0). c x => f x) -> NS f xs -> Prod NS f xs #
HIndex (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hindex :: forall (f :: k0 -> Type) (xs :: l). NS f xs -> Int #
HSequence (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hsequence' :: forall (xs :: l) f (g :: k0 -> Type). (SListIN NS xs, Applicative f) => NS (f :.: g) xs -> f (NS g xs) # hctraverse' :: forall c (xs :: l) g proxy f f'. (AllN NS c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g (f' a)) -> NS f xs -> g (NS f' xs) # htraverse' :: forall (xs :: l) g f f'. (SListIN NS xs, Applicative g) => (forall (a :: k0). f a -> g (f' a)) -> NS f xs -> g (NS f' xs) #
HTraverse_ (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hctraverse_ :: forall c (xs :: l) g proxy f. (AllN NS c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g ()) -> NS f xs -> g () # htraverse_ :: forall (xs :: l) g f. (SListIN NS xs, Applicative g) => (forall (a :: k0). f a -> g ()) -> NS f xs -> g () #
All (Compose Eq f) xs => Eq (NS f xs)
Instance details Defined in Data.SOP.NS Methods (==) :: NS f xs -> NS f xs -> Bool # (/=) :: NS f xs -> NS f xs -> Bool #
(All (Compose Eq f) xs, All (Compose Ord f) xs) => Ord (NS f xs)
Instance details Defined in Data.SOP.NS Methods compare :: NS f xs -> NS f xs -> Ordering # (<) :: NS f xs -> NS f xs -> Bool # (<=) :: NS f xs -> NS f xs -> Bool # (>) :: NS f xs -> NS f xs -> Bool # (>=) :: NS f xs -> NS f xs -> Bool # max :: NS f xs -> NS f xs -> NS f xs # min :: NS f xs -> NS f xs -> NS f xs #
All (Compose Show f) xs => Show (NS f xs)
Instance details Defined in Data.SOP.NS Methods showsPrec :: Int -> NS f xs -> ShowS # show :: NS f xs -> String # showList :: [NS f xs] -> ShowS #
All (Compose NFData f) xs => NFData (NS f xs)
Instance details Defined in Data.SOP.NS Methods rnf :: NS f xs -> () #
type Same (NS :: (k1 -> Type) -> [k1] -> Type)
Instance details Defined in Data.SOP.NS type Same (NS :: (k1 -> Type) -> [k1] -> Type) = NS :: (k2 -> Type) -> [k2] -> Type
type Prod (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS type Prod (NS :: (k -> Type) -> [k] -> Type) = NP :: (k -> Type) -> [k] -> Type
type SListIN (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS type SListIN (NS :: (k -> Type) -> [k] -> Type) = SListI :: [k] -> Constraint
type CollapseTo (NS :: (k -> Type) -> [k] -> Type) a
Instance details Defined in Data.SOP.NS type CollapseTo (NS :: (k -> Type) -> [k] -> Type) a = a
type AllN (NS :: (k -> Type) -> [k] -> Type) (c :: k -> Constraint)
Instance details Defined in Data.SOP.NS type AllN (NS :: (k -> Type) -> [k] -> Type) (c :: k -> Constraint) = All c

newtype SOP (f :: k -> Type) (xss :: [[k]]) #

Constructors

SOP (NS (NP f) xss)

Instances

Instances details

HTrans (SOP :: (k1 -> Type) -> [[k1]] -> Type) (SOP :: (k2 -> Type) -> [[k2]] -> Type)
Instance details Defined in Data.SOP.NS Methods htrans :: forall c (xs :: l1) (ys :: l2) proxy f g. AllZipN (Prod SOP) c xs ys => proxy c -> (forall (x :: k10) (y :: k20). c x y => f x -> g y) -> SOP f xs -> SOP g ys # hcoerce :: forall (f :: k10 -> Type) (g :: k20 -> Type) (xs :: l1) (ys :: l2). (AllZipN (Prod SOP) (LiftedCoercible f g) xs ys, HTrans SOP SOP) => SOP f xs -> SOP g ys #
HAp (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hap :: forall (f :: k0 -> Type) (g :: k0 -> Type) (xs :: l). Prod SOP (f -.-> g) xs -> SOP f xs -> SOP g xs #
HApInjs (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hapInjs :: forall (xs :: l) (f :: k0 -> Type). SListIN SOP xs => Prod SOP f xs -> [SOP f xs] #
HCollapse (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hcollapse :: forall (xs :: l) a. SListIN SOP xs => SOP (K a) xs -> CollapseTo SOP a #
HExpand (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hexpand :: forall (xs :: l) f. SListIN (Prod SOP) xs => (forall (x :: k0). f x) -> SOP f xs -> Prod SOP f xs # hcexpand :: forall c (xs :: l) proxy f. AllN (Prod SOP) c xs => proxy c -> (forall (x :: k0). c x => f x) -> SOP f xs -> Prod SOP f xs #
HIndex (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hindex :: forall (f :: k0 -> Type) (xs :: l). SOP f xs -> Int #
HSequence (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hsequence' :: forall (xs :: l) f (g :: k0 -> Type). (SListIN SOP xs, Applicative f) => SOP (f :.: g) xs -> f (SOP g xs) # hctraverse' :: forall c (xs :: l) g proxy f f'. (AllN SOP c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g (f' a)) -> SOP f xs -> g (SOP f' xs) # htraverse' :: forall (xs :: l) g f f'. (SListIN SOP xs, Applicative g) => (forall (a :: k0). f a -> g (f' a)) -> SOP f xs -> g (SOP f' xs) #
HTraverse_ (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hctraverse_ :: forall c (xs :: l) g proxy f. (AllN SOP c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g ()) -> SOP f xs -> g () # htraverse_ :: forall (xs :: l) g f. (SListIN SOP xs, Applicative g) => (forall (a :: k0). f a -> g ()) -> SOP f xs -> g () #
Eq (NS (NP f) xss) => Eq (SOP f xss)
Instance details Defined in Data.SOP.NS Methods (==) :: SOP f xss -> SOP f xss -> Bool # (/=) :: SOP f xss -> SOP f xss -> Bool #
Ord (NS (NP f) xss) => Ord (SOP f xss)
Instance details Defined in Data.SOP.NS Methods compare :: SOP f xss -> SOP f xss -> Ordering # (<) :: SOP f xss -> SOP f xss -> Bool # (<=) :: SOP f xss -> SOP f xss -> Bool # (>) :: SOP f xss -> SOP f xss -> Bool # (>=) :: SOP f xss -> SOP f xss -> Bool # max :: SOP f xss -> SOP f xss -> SOP f xss # min :: SOP f xss -> SOP f xss -> SOP f xss #
Show (NS (NP f) xss) => Show (SOP f xss)
Instance details Defined in Data.SOP.NS Methods showsPrec :: Int -> SOP f xss -> ShowS # show :: SOP f xss -> String # showList :: [SOP f xss] -> ShowS #
NFData (NS (NP f) xss) => NFData (SOP f xss)
Instance details Defined in Data.SOP.NS Methods rnf :: SOP f xss -> () #
type Same (SOP :: (k1 -> Type) -> [[k1]] -> Type)
Instance details Defined in Data.SOP.NS type Same (SOP :: (k1 -> Type) -> [[k1]] -> Type) = SOP :: (k2 -> Type) -> [[k2]] -> Type
type Prod (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS type Prod (SOP :: (k -> Type) -> [[k]] -> Type) = POP :: (k -> Type) -> [[k]] -> Type
type SListIN (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS type SListIN (SOP :: (k -> Type) -> [[k]] -> Type) = SListI2 :: [[k]] -> Constraint
type CollapseTo (SOP :: (k -> Type) -> [[k]] -> Type) a
Instance details Defined in Data.SOP.NS type CollapseTo (SOP :: (k -> Type) -> [[k]] -> Type) a = [a]
type AllN (SOP :: (k -> Type) -> [[k]] -> Type) (c :: k -> Constraint)
Instance details Defined in Data.SOP.NS type AllN (SOP :: (k -> Type) -> [[k]] -> Type) (c :: k -> Constraint) = All2 c

unSOP :: forall k (f :: k -> Type) (xss :: [[k]]). SOP f xss -> NS (NP f) xss #

newtype POP (f :: k -> Type) (xss :: [[k]]) #

Constructors

POP (NP (NP f) xss)

Instances

Instances details

HTrans (POP :: (k1 -> Type) -> [[k1]] -> Type) (POP :: (k2 -> Type) -> [[k2]] -> Type)
Instance details Defined in Data.SOP.NP Methods htrans :: forall c (xs :: l1) (ys :: l2) proxy f g. AllZipN (Prod POP) c xs ys => proxy c -> (forall (x :: k10) (y :: k20). c x y => f x -> g y) -> POP f xs -> POP g ys # hcoerce :: forall (f :: k10 -> Type) (g :: k20 -> Type) (xs :: l1) (ys :: l2). (AllZipN (Prod POP) (LiftedCoercible f g) xs ys, HTrans POP POP) => POP f xs -> POP g ys #
HAp (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP Methods hap :: forall (f :: k0 -> Type) (g :: k0 -> Type) (xs :: l). Prod POP (f -.-> g) xs -> POP f xs -> POP g xs #
HCollapse (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP Methods hcollapse :: forall (xs :: l) a. SListIN POP xs => POP (K a) xs -> CollapseTo POP a #
HPure (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP Methods hpure :: forall (xs :: l) f. SListIN POP xs => (forall (a :: k0). f a) -> POP f xs # hcpure :: forall c (xs :: l) proxy f. AllN POP c xs => proxy c -> (forall (a :: k0). c a => f a) -> POP f xs #
HSequence (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP Methods hsequence' :: forall (xs :: l) f (g :: k0 -> Type). (SListIN POP xs, Applicative f) => POP (f :.: g) xs -> f (POP g xs) # hctraverse' :: forall c (xs :: l) g proxy f f'. (AllN POP c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g (f' a)) -> POP f xs -> g (POP f' xs) # htraverse' :: forall (xs :: l) g f f'. (SListIN POP xs, Applicative g) => (forall (a :: k0). f a -> g (f' a)) -> POP f xs -> g (POP f' xs) #
HTraverse_ (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP Methods hctraverse_ :: forall c (xs :: l) g proxy f. (AllN POP c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g ()) -> POP f xs -> g () # htraverse_ :: forall (xs :: l) g f. (SListIN POP xs, Applicative g) => (forall (a :: k0). f a -> g ()) -> POP f xs -> g () #
Eq (NP (NP f) xss) => Eq (POP f xss)
Instance details Defined in Data.SOP.NP Methods (==) :: POP f xss -> POP f xss -> Bool # (/=) :: POP f xss -> POP f xss -> Bool #
Ord (NP (NP f) xss) => Ord (POP f xss)
Instance details Defined in Data.SOP.NP Methods compare :: POP f xss -> POP f xss -> Ordering # (<) :: POP f xss -> POP f xss -> Bool # (<=) :: POP f xss -> POP f xss -> Bool # (>) :: POP f xss -> POP f xss -> Bool # (>=) :: POP f xss -> POP f xss -> Bool # max :: POP f xss -> POP f xss -> POP f xss # min :: POP f xss -> POP f xss -> POP f xss #
Show (NP (NP f) xss) => Show (POP f xss)
Instance details Defined in Data.SOP.NP Methods showsPrec :: Int -> POP f xss -> ShowS # show :: POP f xss -> String # showList :: [POP f xss] -> ShowS #
Semigroup (NP (NP f) xss) => Semigroup (POP f xss)
Instance details Defined in Data.SOP.NP Methods (<>) :: POP f xss -> POP f xss -> POP f xss # sconcat :: NonEmpty (POP f xss) -> POP f xss # stimes :: Integral b => b -> POP f xss -> POP f xss #
Monoid (NP (NP f) xss) => Monoid (POP f xss)
Instance details Defined in Data.SOP.NP Methods mempty :: POP f xss # mappend :: POP f xss -> POP f xss -> POP f xss # mconcat :: [POP f xss] -> POP f xss #
NFData (NP (NP f) xss) => NFData (POP f xss)
Instance details Defined in Data.SOP.NP Methods rnf :: POP f xss -> () #
type AllZipN (POP :: (k -> Type) -> [[k]] -> Type) (c :: a -> b -> Constraint)
Instance details Defined in Data.SOP.NP type AllZipN (POP :: (k -> Type) -> [[k]] -> Type) (c :: a -> b -> Constraint) = AllZip2 c
type Same (POP :: (k1 -> Type) -> [[k1]] -> Type)
Instance details Defined in Data.SOP.NP type Same (POP :: (k1 -> Type) -> [[k1]] -> Type) = POP :: (k2 -> Type) -> [[k2]] -> Type
type Prod (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP type Prod (POP :: (k -> Type) -> [[k]] -> Type) = POP :: (k -> Type) -> [[k]] -> Type
type UnProd (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS type UnProd (POP :: (k -> Type) -> [[k]] -> Type) = SOP :: (k -> Type) -> [[k]] -> Type
type SListIN (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP type SListIN (POP :: (k -> Type) -> [[k]] -> Type) = SListI2 :: [[k]] -> Constraint
type CollapseTo (POP :: (k -> Type) -> [[k]] -> Type) a
Instance details Defined in Data.SOP.NP type CollapseTo (POP :: (k -> Type) -> [[k]] -> Type) a = [[a]]
type AllN (POP :: (k -> Type) -> [[k]] -> Type) (c :: k -> Constraint)
Instance details Defined in Data.SOP.NP type AllN (POP :: (k -> Type) -> [[k]] -> Type) (c :: k -> Constraint) = All2 c

unPOP :: forall k (f :: k -> Type) (xss :: [[k]]). POP f xss -> NP (NP f) xss #

Metadata

data DatatypeInfo :: [[Type]] -> Type where Source #

Metadata for a datatype.

A value of type DatatypeInfo c contains the information about a datatype that is not contained in Code c. This information consists primarily of the names of the datatype, its constructors, and possibly its record selectors.

The constructor indicates whether the datatype has been declared using newtype or not.

Constructors

ADT :: ModuleName -> DatatypeName -> NP ConstructorInfo xss -> POP StrictnessInfo xss -> DatatypeInfo xss
Newtype :: ModuleName -> DatatypeName -> ConstructorInfo '[x] -> DatatypeInfo '['[x]]

Instances

Instances details

(All (Compose Eq ConstructorInfo) xs, All (Compose Eq (NP StrictnessInfo)) xs) => Eq (DatatypeInfo xs) Source #
Instance details Defined in Generics.SOP.Metadata Methods (==) :: DatatypeInfo xs -> DatatypeInfo xs -> Bool # (/=) :: DatatypeInfo xs -> DatatypeInfo xs -> Bool #
(All (Compose Eq ConstructorInfo) xs, All (Compose Ord ConstructorInfo) xs, All (Compose Eq (NP StrictnessInfo)) xs, All (Compose Ord (NP StrictnessInfo)) xs) => Ord (DatatypeInfo xs) Source #
Instance details Defined in Generics.SOP.Metadata Methods compare :: DatatypeInfo xs -> DatatypeInfo xs -> Ordering # (<) :: DatatypeInfo xs -> DatatypeInfo xs -> Bool # (<=) :: DatatypeInfo xs -> DatatypeInfo xs -> Bool # (>) :: DatatypeInfo xs -> DatatypeInfo xs -> Bool # (>=) :: DatatypeInfo xs -> DatatypeInfo xs -> Bool # max :: DatatypeInfo xs -> DatatypeInfo xs -> DatatypeInfo xs # min :: DatatypeInfo xs -> DatatypeInfo xs -> DatatypeInfo xs #
(All (Compose Show ConstructorInfo) xs, All (Compose Show (NP StrictnessInfo)) xs) => Show (DatatypeInfo xs) Source #
Instance details Defined in Generics.SOP.Metadata Methods showsPrec :: Int -> DatatypeInfo xs -> ShowS # show :: DatatypeInfo xs -> String # showList :: [DatatypeInfo xs] -> ShowS #

moduleName :: DatatypeInfo xss -> ModuleName Source #

The module name where a datatype is defined.

Since: 0.2.3.0

datatypeName :: DatatypeInfo xss -> DatatypeName Source #

The name of a datatype (or newtype).

Since: 0.2.3.0

constructorInfo :: DatatypeInfo xss -> NP ConstructorInfo xss Source #

The constructor info for a datatype (or newtype).

Since: 0.2.3.0

data ConstructorInfo :: [Type] -> Type where Source #

Metadata for a single constructor.

This is indexed by the product structure of the constructor components.

Constructors

Constructor :: SListI xs => ConstructorName -> ConstructorInfo xs
Infix :: ConstructorName -> Associativity -> Fixity -> ConstructorInfo '[x, y]
Record :: SListI xs => ConstructorName -> NP FieldInfo xs -> ConstructorInfo xs

Instances

Instances details

All (Compose Eq FieldInfo) xs => Eq (ConstructorInfo xs) Source #
Instance details Defined in Generics.SOP.Metadata Methods (==) :: ConstructorInfo xs -> ConstructorInfo xs -> Bool # (/=) :: ConstructorInfo xs -> ConstructorInfo xs -> Bool #
(All (Compose Eq FieldInfo) xs, All (Compose Ord FieldInfo) xs) => Ord (ConstructorInfo xs) Source #
Instance details Defined in Generics.SOP.Metadata Methods compare :: ConstructorInfo xs -> ConstructorInfo xs -> Ordering # (<) :: ConstructorInfo xs -> ConstructorInfo xs -> Bool # (<=) :: ConstructorInfo xs -> ConstructorInfo xs -> Bool # (>) :: ConstructorInfo xs -> ConstructorInfo xs -> Bool # (>=) :: ConstructorInfo xs -> ConstructorInfo xs -> Bool # max :: ConstructorInfo xs -> ConstructorInfo xs -> ConstructorInfo xs # min :: ConstructorInfo xs -> ConstructorInfo xs -> ConstructorInfo xs #
All (Compose Show FieldInfo) xs => Show (ConstructorInfo xs) Source #
Instance details Defined in Generics.SOP.Metadata Methods showsPrec :: Int -> ConstructorInfo xs -> ShowS # show :: ConstructorInfo xs -> String # showList :: [ConstructorInfo xs] -> ShowS #

constructorName :: ConstructorInfo xs -> ConstructorName Source #

The name of a constructor.

Since: 0.2.3.0

data FieldInfo :: Type -> Type where Source #

For records, this functor maps the component to its selector name.

Constructors

FieldInfo :: FieldName -> FieldInfo a

Instances

Instances details

Functor FieldInfo Source #
Instance details Defined in Generics.SOP.Metadata Methods fmap :: (a -> b) -> FieldInfo a -> FieldInfo b # (<$) :: a -> FieldInfo b -> FieldInfo a #
Eq (FieldInfo a) Source #
Instance details Defined in Generics.SOP.Metadata Methods (==) :: FieldInfo a -> FieldInfo a -> Bool # (/=) :: FieldInfo a -> FieldInfo a -> Bool #
Ord (FieldInfo a) Source #
Instance details Defined in Generics.SOP.Metadata Methods compare :: FieldInfo a -> FieldInfo a -> Ordering # (<) :: FieldInfo a -> FieldInfo a -> Bool # (<=) :: FieldInfo a -> FieldInfo a -> Bool # (>) :: FieldInfo a -> FieldInfo a -> Bool # (>=) :: FieldInfo a -> FieldInfo a -> Bool # max :: FieldInfo a -> FieldInfo a -> FieldInfo a # min :: FieldInfo a -> FieldInfo a -> FieldInfo a #
Show (FieldInfo a) Source #
Instance details Defined in Generics.SOP.Metadata Methods showsPrec :: Int -> FieldInfo a -> ShowS # show :: FieldInfo a -> String # showList :: [FieldInfo a] -> ShowS #

fieldName :: FieldInfo a -> FieldName Source #

The name of a field.

Since: 0.2.3.0

class Generic a => HasDatatypeInfo a where Source #

A class of datatypes that have associated metadata.

It is possible to use the sum-of-products approach to generic programming without metadata. If you need metadata in a function, an additional constraint on this class is in order.

You typically don't define instances of this class by hand, but rather derive the class instance automatically. See the documentation of Generic for the options.

Minimal complete definition

Nothing

Associated Types

type DatatypeInfoOf a :: DatatypeInfo Source #

Type-level datatype info

type DatatypeInfoOf a = GDatatypeInfoOf a Source #

Methods

datatypeInfo :: proxy a -> DatatypeInfo (Code a) Source #

Term-level datatype info; by default, the term-level datatype info is produced from the type-level info.

default datatypeInfo :: (GDatatypeInfo a, GCode a ~ Code a) => proxy a -> DatatypeInfo (Code a) Source #

Instances

Instances details

HasDatatypeInfo Bool Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Bool :: DatatypeInfo Source # Methods datatypeInfo :: proxy Bool -> DatatypeInfo (Code Bool) Source #
HasDatatypeInfo Ordering Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Ordering :: DatatypeInfo Source # Methods datatypeInfo :: proxy Ordering -> DatatypeInfo (Code Ordering) Source #
HasDatatypeInfo RuntimeRep Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf RuntimeRep :: DatatypeInfo Source # Methods datatypeInfo :: proxy RuntimeRep -> DatatypeInfo (Code RuntimeRep) Source #
HasDatatypeInfo VecCount Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf VecCount :: DatatypeInfo Source # Methods datatypeInfo :: proxy VecCount -> DatatypeInfo (Code VecCount) Source #
HasDatatypeInfo VecElem Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf VecElem :: DatatypeInfo Source # Methods datatypeInfo :: proxy VecElem -> DatatypeInfo (Code VecElem) Source #
HasDatatypeInfo R Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf R :: DatatypeInfo Source # Methods datatypeInfo :: proxy R -> DatatypeInfo (Code R) Source #
HasDatatypeInfo D Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf D :: DatatypeInfo Source # Methods datatypeInfo :: proxy D -> DatatypeInfo (Code D) Source #
HasDatatypeInfo C Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf C :: DatatypeInfo Source # Methods datatypeInfo :: proxy C -> DatatypeInfo (Code C) Source #
HasDatatypeInfo S Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf S :: DatatypeInfo Source # Methods datatypeInfo :: proxy S -> DatatypeInfo (Code S) Source #
HasDatatypeInfo CallStack Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CallStack :: DatatypeInfo Source # Methods datatypeInfo :: proxy CallStack -> DatatypeInfo (Code CallStack) Source #
HasDatatypeInfo () Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf () :: DatatypeInfo Source # Methods datatypeInfo :: proxy () -> DatatypeInfo (Code ()) Source #
HasDatatypeInfo E0 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf E0 :: DatatypeInfo Source # Methods datatypeInfo :: proxy E0 -> DatatypeInfo (Code E0) Source #
HasDatatypeInfo E1 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf E1 :: DatatypeInfo Source # Methods datatypeInfo :: proxy E1 -> DatatypeInfo (Code E1) Source #
HasDatatypeInfo E2 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf E2 :: DatatypeInfo Source # Methods datatypeInfo :: proxy E2 -> DatatypeInfo (Code E2) Source #
HasDatatypeInfo E3 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf E3 :: DatatypeInfo Source # Methods datatypeInfo :: proxy E3 -> DatatypeInfo (Code E3) Source #
HasDatatypeInfo E6 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf E6 :: DatatypeInfo Source # Methods datatypeInfo :: proxy E6 -> DatatypeInfo (Code E6) Source #
HasDatatypeInfo E9 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf E9 :: DatatypeInfo Source # Methods datatypeInfo :: proxy E9 -> DatatypeInfo (Code E9) Source #
HasDatatypeInfo E12 Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf E12 :: DatatypeInfo Source # Methods datatypeInfo :: proxy E12 -> DatatypeInfo (Code E12) Source #
HasDatatypeInfo Void Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Void :: DatatypeInfo Source # Methods datatypeInfo :: proxy Void -> DatatypeInfo (Code Void) Source #
HasDatatypeInfo SpecConstrAnnotation Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf SpecConstrAnnotation :: DatatypeInfo Source # Methods datatypeInfo :: proxy SpecConstrAnnotation -> DatatypeInfo (Code SpecConstrAnnotation) Source #
HasDatatypeInfo DataRep Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf DataRep :: DatatypeInfo Source # Methods datatypeInfo :: proxy DataRep -> DatatypeInfo (Code DataRep) Source #
HasDatatypeInfo ConstrRep Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ConstrRep :: DatatypeInfo Source # Methods datatypeInfo :: proxy ConstrRep -> DatatypeInfo (Code ConstrRep) Source #
HasDatatypeInfo Fixity Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Fixity :: DatatypeInfo Source # Methods datatypeInfo :: proxy Fixity -> DatatypeInfo (Code Fixity) Source #
HasDatatypeInfo SrcLoc Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf SrcLoc :: DatatypeInfo Source # Methods datatypeInfo :: proxy SrcLoc -> DatatypeInfo (Code SrcLoc) Source #
HasDatatypeInfo Location Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Location :: DatatypeInfo Source # Methods datatypeInfo :: proxy Location -> DatatypeInfo (Code Location) Source #
HasDatatypeInfo GiveGCStats Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf GiveGCStats :: DatatypeInfo Source # Methods datatypeInfo :: proxy GiveGCStats -> DatatypeInfo (Code GiveGCStats) Source #
HasDatatypeInfo GCFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf GCFlags :: DatatypeInfo Source # Methods datatypeInfo :: proxy GCFlags -> DatatypeInfo (Code GCFlags) Source #
HasDatatypeInfo ConcFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ConcFlags :: DatatypeInfo Source # Methods datatypeInfo :: proxy ConcFlags -> DatatypeInfo (Code ConcFlags) Source #
HasDatatypeInfo MiscFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf MiscFlags :: DatatypeInfo Source # Methods datatypeInfo :: proxy MiscFlags -> DatatypeInfo (Code MiscFlags) Source #
HasDatatypeInfo DebugFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf DebugFlags :: DatatypeInfo Source # Methods datatypeInfo :: proxy DebugFlags -> DatatypeInfo (Code DebugFlags) Source #
HasDatatypeInfo DoCostCentres Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf DoCostCentres :: DatatypeInfo Source # Methods datatypeInfo :: proxy DoCostCentres -> DatatypeInfo (Code DoCostCentres) Source #
HasDatatypeInfo CCFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CCFlags :: DatatypeInfo Source # Methods datatypeInfo :: proxy CCFlags -> DatatypeInfo (Code CCFlags) Source #
HasDatatypeInfo DoHeapProfile Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf DoHeapProfile :: DatatypeInfo Source # Methods datatypeInfo :: proxy DoHeapProfile -> DatatypeInfo (Code DoHeapProfile) Source #
HasDatatypeInfo ProfFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ProfFlags :: DatatypeInfo Source # Methods datatypeInfo :: proxy ProfFlags -> DatatypeInfo (Code ProfFlags) Source #
HasDatatypeInfo DoTrace Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf DoTrace :: DatatypeInfo Source # Methods datatypeInfo :: proxy DoTrace -> DatatypeInfo (Code DoTrace) Source #
HasDatatypeInfo TraceFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf TraceFlags :: DatatypeInfo Source # Methods datatypeInfo :: proxy TraceFlags -> DatatypeInfo (Code TraceFlags) Source #
HasDatatypeInfo TickyFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf TickyFlags :: DatatypeInfo Source # Methods datatypeInfo :: proxy TickyFlags -> DatatypeInfo (Code TickyFlags) Source #
HasDatatypeInfo ParFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ParFlags :: DatatypeInfo Source # Methods datatypeInfo :: proxy ParFlags -> DatatypeInfo (Code ParFlags) Source #
HasDatatypeInfo RTSFlags Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf RTSFlags :: DatatypeInfo Source # Methods datatypeInfo :: proxy RTSFlags -> DatatypeInfo (Code RTSFlags) Source #
HasDatatypeInfo RTSStats Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf RTSStats :: DatatypeInfo Source # Methods datatypeInfo :: proxy RTSStats -> DatatypeInfo (Code RTSStats) Source #
HasDatatypeInfo GCDetails Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf GCDetails :: DatatypeInfo Source # Methods datatypeInfo :: proxy GCDetails -> DatatypeInfo (Code GCDetails) Source #
HasDatatypeInfo ByteOrder Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ByteOrder :: DatatypeInfo Source # Methods datatypeInfo :: proxy ByteOrder -> DatatypeInfo (Code ByteOrder) Source #
HasDatatypeInfo StaticPtrInfo Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf StaticPtrInfo :: DatatypeInfo Source # Methods datatypeInfo :: proxy StaticPtrInfo -> DatatypeInfo (Code StaticPtrInfo) Source #
HasDatatypeInfo FormatAdjustment Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf FormatAdjustment :: DatatypeInfo Source # Methods datatypeInfo :: proxy FormatAdjustment -> DatatypeInfo (Code FormatAdjustment) Source #
HasDatatypeInfo FormatSign Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf FormatSign :: DatatypeInfo Source # Methods datatypeInfo :: proxy FormatSign -> DatatypeInfo (Code FormatSign) Source #
HasDatatypeInfo FieldFormat Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf FieldFormat :: DatatypeInfo Source # Methods datatypeInfo :: proxy FieldFormat -> DatatypeInfo (Code FieldFormat) Source #
HasDatatypeInfo FormatParse Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf FormatParse :: DatatypeInfo Source # Methods datatypeInfo :: proxy FormatParse -> DatatypeInfo (Code FormatParse) Source #
HasDatatypeInfo Version Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Version :: DatatypeInfo Source # Methods datatypeInfo :: proxy Version -> DatatypeInfo (Code Version) Source #
HasDatatypeInfo HandlePosn Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf HandlePosn :: DatatypeInfo Source # Methods datatypeInfo :: proxy HandlePosn -> DatatypeInfo (Code HandlePosn) Source #
HasDatatypeInfo LockMode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf LockMode :: DatatypeInfo Source # Methods datatypeInfo :: proxy LockMode -> DatatypeInfo (Code LockMode) Source #
HasDatatypeInfo PatternMatchFail Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf PatternMatchFail :: DatatypeInfo Source # Methods datatypeInfo :: proxy PatternMatchFail -> DatatypeInfo (Code PatternMatchFail) Source #
HasDatatypeInfo RecSelError Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf RecSelError :: DatatypeInfo Source # Methods datatypeInfo :: proxy RecSelError -> DatatypeInfo (Code RecSelError) Source #
HasDatatypeInfo RecConError Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf RecConError :: DatatypeInfo Source # Methods datatypeInfo :: proxy RecConError -> DatatypeInfo (Code RecConError) Source #
HasDatatypeInfo RecUpdError Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf RecUpdError :: DatatypeInfo Source # Methods datatypeInfo :: proxy RecUpdError -> DatatypeInfo (Code RecUpdError) Source #
HasDatatypeInfo NoMethodError Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf NoMethodError :: DatatypeInfo Source # Methods datatypeInfo :: proxy NoMethodError -> DatatypeInfo (Code NoMethodError) Source #
HasDatatypeInfo TypeError Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf TypeError :: DatatypeInfo Source # Methods datatypeInfo :: proxy TypeError -> DatatypeInfo (Code TypeError) Source #
HasDatatypeInfo NonTermination Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf NonTermination :: DatatypeInfo Source # Methods datatypeInfo :: proxy NonTermination -> DatatypeInfo (Code NonTermination) Source #
HasDatatypeInfo NestedAtomically Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf NestedAtomically :: DatatypeInfo Source # Methods datatypeInfo :: proxy NestedAtomically -> DatatypeInfo (Code NestedAtomically) Source #
HasDatatypeInfo BlockReason Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf BlockReason :: DatatypeInfo Source # Methods datatypeInfo :: proxy BlockReason -> DatatypeInfo (Code BlockReason) Source #
HasDatatypeInfo ThreadStatus Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ThreadStatus :: DatatypeInfo Source # Methods datatypeInfo :: proxy ThreadStatus -> DatatypeInfo (Code ThreadStatus) Source #
HasDatatypeInfo Errno Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Errno :: DatatypeInfo Source # Methods datatypeInfo :: proxy Errno -> DatatypeInfo (Code Errno) Source #
HasDatatypeInfo CodingFailureMode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CodingFailureMode :: DatatypeInfo Source # Methods datatypeInfo :: proxy CodingFailureMode -> DatatypeInfo (Code CodingFailureMode) Source #
HasDatatypeInfo BlockedIndefinitelyOnMVar Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf BlockedIndefinitelyOnMVar :: DatatypeInfo Source # Methods datatypeInfo :: proxy BlockedIndefinitelyOnMVar -> DatatypeInfo (Code BlockedIndefinitelyOnMVar) Source #
HasDatatypeInfo BlockedIndefinitelyOnSTM Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf BlockedIndefinitelyOnSTM :: DatatypeInfo Source # Methods datatypeInfo :: proxy BlockedIndefinitelyOnSTM -> DatatypeInfo (Code BlockedIndefinitelyOnSTM) Source #
HasDatatypeInfo Deadlock Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Deadlock :: DatatypeInfo Source # Methods datatypeInfo :: proxy Deadlock -> DatatypeInfo (Code Deadlock) Source #
HasDatatypeInfo AllocationLimitExceeded Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf AllocationLimitExceeded :: DatatypeInfo Source # Methods datatypeInfo :: proxy AllocationLimitExceeded -> DatatypeInfo (Code AllocationLimitExceeded) Source #
HasDatatypeInfo AssertionFailed Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf AssertionFailed :: DatatypeInfo Source # Methods datatypeInfo :: proxy AssertionFailed -> DatatypeInfo (Code AssertionFailed) Source #
HasDatatypeInfo AsyncException Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf AsyncException :: DatatypeInfo Source # Methods datatypeInfo :: proxy AsyncException -> DatatypeInfo (Code AsyncException) Source #
HasDatatypeInfo ArrayException Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ArrayException :: DatatypeInfo Source # Methods datatypeInfo :: proxy ArrayException -> DatatypeInfo (Code ArrayException) Source #
HasDatatypeInfo FixIOException Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf FixIOException :: DatatypeInfo Source # Methods datatypeInfo :: proxy FixIOException -> DatatypeInfo (Code FixIOException) Source #
HasDatatypeInfo ExitCode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ExitCode :: DatatypeInfo Source # Methods datatypeInfo :: proxy ExitCode -> DatatypeInfo (Code ExitCode) Source #
HasDatatypeInfo IOErrorType Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf IOErrorType :: DatatypeInfo Source # Methods datatypeInfo :: proxy IOErrorType -> DatatypeInfo (Code IOErrorType) Source #
HasDatatypeInfo BufferMode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf BufferMode :: DatatypeInfo Source # Methods datatypeInfo :: proxy BufferMode -> DatatypeInfo (Code BufferMode) Source #
HasDatatypeInfo Newline Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Newline :: DatatypeInfo Source # Methods datatypeInfo :: proxy Newline -> DatatypeInfo (Code Newline) Source #
HasDatatypeInfo NewlineMode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf NewlineMode :: DatatypeInfo Source # Methods datatypeInfo :: proxy NewlineMode -> DatatypeInfo (Code NewlineMode) Source #
HasDatatypeInfo IODeviceType Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf IODeviceType :: DatatypeInfo Source # Methods datatypeInfo :: proxy IODeviceType -> DatatypeInfo (Code IODeviceType) Source #
HasDatatypeInfo SeekMode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf SeekMode :: DatatypeInfo Source # Methods datatypeInfo :: proxy SeekMode -> DatatypeInfo (Code SeekMode) Source #
HasDatatypeInfo CodingProgress Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CodingProgress :: DatatypeInfo Source # Methods datatypeInfo :: proxy CodingProgress -> DatatypeInfo (Code CodingProgress) Source #
HasDatatypeInfo BufferState Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf BufferState :: DatatypeInfo Source # Methods datatypeInfo :: proxy BufferState -> DatatypeInfo (Code BufferState) Source #
HasDatatypeInfo MaskingState Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf MaskingState :: DatatypeInfo Source # Methods datatypeInfo :: proxy MaskingState -> DatatypeInfo (Code MaskingState) Source #
HasDatatypeInfo IOException Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf IOException :: DatatypeInfo Source # Methods datatypeInfo :: proxy IOException -> DatatypeInfo (Code IOException) Source #
HasDatatypeInfo ErrorCall Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ErrorCall :: DatatypeInfo Source # Methods datatypeInfo :: proxy ErrorCall -> DatatypeInfo (Code ErrorCall) Source #
HasDatatypeInfo ArithException Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ArithException :: DatatypeInfo Source # Methods datatypeInfo :: proxy ArithException -> DatatypeInfo (Code ArithException) Source #
HasDatatypeInfo All Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf All :: DatatypeInfo Source # Methods datatypeInfo :: proxy All -> DatatypeInfo (Code All) Source #
HasDatatypeInfo Any Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Any :: DatatypeInfo Source # Methods datatypeInfo :: proxy Any -> DatatypeInfo (Code Any) Source #
HasDatatypeInfo Fixity Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Fixity :: DatatypeInfo Source # Methods datatypeInfo :: proxy Fixity -> DatatypeInfo (Code Fixity) Source #
HasDatatypeInfo Associativity Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Associativity :: DatatypeInfo Source # Methods datatypeInfo :: proxy Associativity -> DatatypeInfo (Code Associativity) Source #
HasDatatypeInfo SourceUnpackedness Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf SourceUnpackedness :: DatatypeInfo Source # Methods datatypeInfo :: proxy SourceUnpackedness -> DatatypeInfo (Code SourceUnpackedness) Source #
HasDatatypeInfo SourceStrictness Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf SourceStrictness :: DatatypeInfo Source # Methods datatypeInfo :: proxy SourceStrictness -> DatatypeInfo (Code SourceStrictness) Source #
HasDatatypeInfo DecidedStrictness Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf DecidedStrictness :: DatatypeInfo Source # Methods datatypeInfo :: proxy DecidedStrictness -> DatatypeInfo (Code DecidedStrictness) Source #
HasDatatypeInfo CChar Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CChar :: DatatypeInfo Source # Methods datatypeInfo :: proxy CChar -> DatatypeInfo (Code CChar) Source #
HasDatatypeInfo CSChar Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CSChar :: DatatypeInfo Source # Methods datatypeInfo :: proxy CSChar -> DatatypeInfo (Code CSChar) Source #
HasDatatypeInfo CUChar Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CUChar :: DatatypeInfo Source # Methods datatypeInfo :: proxy CUChar -> DatatypeInfo (Code CUChar) Source #
HasDatatypeInfo CShort Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CShort :: DatatypeInfo Source # Methods datatypeInfo :: proxy CShort -> DatatypeInfo (Code CShort) Source #
HasDatatypeInfo CUShort Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CUShort :: DatatypeInfo Source # Methods datatypeInfo :: proxy CUShort -> DatatypeInfo (Code CUShort) Source #
HasDatatypeInfo CInt Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CInt :: DatatypeInfo Source # Methods datatypeInfo :: proxy CInt -> DatatypeInfo (Code CInt) Source #
HasDatatypeInfo CUInt Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CUInt :: DatatypeInfo Source # Methods datatypeInfo :: proxy CUInt -> DatatypeInfo (Code CUInt) Source #
HasDatatypeInfo CLong Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CLong :: DatatypeInfo Source # Methods datatypeInfo :: proxy CLong -> DatatypeInfo (Code CLong) Source #
HasDatatypeInfo CULong Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CULong :: DatatypeInfo Source # Methods datatypeInfo :: proxy CULong -> DatatypeInfo (Code CULong) Source #
HasDatatypeInfo CLLong Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CLLong :: DatatypeInfo Source # Methods datatypeInfo :: proxy CLLong -> DatatypeInfo (Code CLLong) Source #
HasDatatypeInfo CULLong Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CULLong :: DatatypeInfo Source # Methods datatypeInfo :: proxy CULLong -> DatatypeInfo (Code CULLong) Source #
HasDatatypeInfo CFloat Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CFloat :: DatatypeInfo Source # Methods datatypeInfo :: proxy CFloat -> DatatypeInfo (Code CFloat) Source #
HasDatatypeInfo CDouble Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CDouble :: DatatypeInfo Source # Methods datatypeInfo :: proxy CDouble -> DatatypeInfo (Code CDouble) Source #
HasDatatypeInfo CPtrdiff Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CPtrdiff :: DatatypeInfo Source # Methods datatypeInfo :: proxy CPtrdiff -> DatatypeInfo (Code CPtrdiff) Source #
HasDatatypeInfo CSize Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CSize :: DatatypeInfo Source # Methods datatypeInfo :: proxy CSize -> DatatypeInfo (Code CSize) Source #
HasDatatypeInfo CWchar Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CWchar :: DatatypeInfo Source # Methods datatypeInfo :: proxy CWchar -> DatatypeInfo (Code CWchar) Source #
HasDatatypeInfo CSigAtomic Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CSigAtomic :: DatatypeInfo Source # Methods datatypeInfo :: proxy CSigAtomic -> DatatypeInfo (Code CSigAtomic) Source #
HasDatatypeInfo CClock Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CClock :: DatatypeInfo Source # Methods datatypeInfo :: proxy CClock -> DatatypeInfo (Code CClock) Source #
HasDatatypeInfo CTime Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CTime :: DatatypeInfo Source # Methods datatypeInfo :: proxy CTime -> DatatypeInfo (Code CTime) Source #
HasDatatypeInfo CUSeconds Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CUSeconds :: DatatypeInfo Source # Methods datatypeInfo :: proxy CUSeconds -> DatatypeInfo (Code CUSeconds) Source #
HasDatatypeInfo CSUSeconds Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CSUSeconds :: DatatypeInfo Source # Methods datatypeInfo :: proxy CSUSeconds -> DatatypeInfo (Code CSUSeconds) Source #
HasDatatypeInfo CIntPtr Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CIntPtr :: DatatypeInfo Source # Methods datatypeInfo :: proxy CIntPtr -> DatatypeInfo (Code CIntPtr) Source #
HasDatatypeInfo CUIntPtr Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CUIntPtr :: DatatypeInfo Source # Methods datatypeInfo :: proxy CUIntPtr -> DatatypeInfo (Code CUIntPtr) Source #
HasDatatypeInfo CIntMax Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CIntMax :: DatatypeInfo Source # Methods datatypeInfo :: proxy CIntMax -> DatatypeInfo (Code CIntMax) Source #
HasDatatypeInfo CUIntMax Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf CUIntMax :: DatatypeInfo Source # Methods datatypeInfo :: proxy CUIntMax -> DatatypeInfo (Code CUIntMax) Source #
HasDatatypeInfo IOMode Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf IOMode :: DatatypeInfo Source # Methods datatypeInfo :: proxy IOMode -> DatatypeInfo (Code IOMode) Source #
HasDatatypeInfo Fingerprint Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Fingerprint :: DatatypeInfo Source # Methods datatypeInfo :: proxy Fingerprint -> DatatypeInfo (Code Fingerprint) Source #
HasDatatypeInfo Lexeme Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Lexeme :: DatatypeInfo Source # Methods datatypeInfo :: proxy Lexeme -> DatatypeInfo (Code Lexeme) Source #
HasDatatypeInfo Number Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Number :: DatatypeInfo Source # Methods datatypeInfo :: proxy Number -> DatatypeInfo (Code Number) Source #
HasDatatypeInfo FFFormat Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf FFFormat :: DatatypeInfo Source # Methods datatypeInfo :: proxy FFFormat -> DatatypeInfo (Code FFFormat) Source #
HasDatatypeInfo GeneralCategory Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf GeneralCategory :: DatatypeInfo Source # Methods datatypeInfo :: proxy GeneralCategory -> DatatypeInfo (Code GeneralCategory) Source #
HasDatatypeInfo SrcLoc Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf SrcLoc :: DatatypeInfo Source # Methods datatypeInfo :: proxy SrcLoc -> DatatypeInfo (Code SrcLoc) Source #
HasDatatypeInfo [a] Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf [a] :: DatatypeInfo Source # Methods datatypeInfo :: proxy [a] -> DatatypeInfo (Code [a]) Source #
HasDatatypeInfo (Maybe a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Maybe a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Maybe a) -> DatatypeInfo (Code (Maybe a)) Source #
HasDatatypeInfo (Par1 p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Par1 p) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Par1 p) -> DatatypeInfo (Code (Par1 p)) Source #
HasDatatypeInfo (Complex a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Complex a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Complex a) -> DatatypeInfo (Code (Complex a)) Source #
HasDatatypeInfo (Fixed a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Fixed a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Fixed a) -> DatatypeInfo (Code (Fixed a)) Source #
HasDatatypeInfo (Min a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Min a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Min a) -> DatatypeInfo (Code (Min a)) Source #
HasDatatypeInfo (Max a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Max a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Max a) -> DatatypeInfo (Code (Max a)) Source #
HasDatatypeInfo (First a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (First a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (First a) -> DatatypeInfo (Code (First a)) Source #
HasDatatypeInfo (Last a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Last a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Last a) -> DatatypeInfo (Code (Last a)) Source #
HasDatatypeInfo (WrappedMonoid m) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (WrappedMonoid m) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (WrappedMonoid m) -> DatatypeInfo (Code (WrappedMonoid m)) Source #
HasDatatypeInfo (Option a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Option a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Option a) -> DatatypeInfo (Code (Option a)) Source #
HasDatatypeInfo (ArgOrder a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (ArgOrder a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (ArgOrder a) -> DatatypeInfo (Code (ArgOrder a)) Source #
HasDatatypeInfo (OptDescr a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (OptDescr a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (OptDescr a) -> DatatypeInfo (Code (OptDescr a)) Source #
HasDatatypeInfo (ArgDescr a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (ArgDescr a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (ArgDescr a) -> DatatypeInfo (Code (ArgDescr a)) Source #
HasDatatypeInfo (Identity a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Identity a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Identity a) -> DatatypeInfo (Code (Identity a)) Source #
HasDatatypeInfo (Buffer e) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Buffer e) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Buffer e) -> DatatypeInfo (Code (Buffer e)) Source #
HasDatatypeInfo (First a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (First a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (First a) -> DatatypeInfo (Code (First a)) Source #
HasDatatypeInfo (Last a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Last a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Last a) -> DatatypeInfo (Code (Last a)) Source #
HasDatatypeInfo (Dual a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Dual a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Dual a) -> DatatypeInfo (Code (Dual a)) Source #
HasDatatypeInfo (Endo a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Endo a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Endo a) -> DatatypeInfo (Code (Endo a)) Source #
HasDatatypeInfo (Sum a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Sum a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Sum a) -> DatatypeInfo (Code (Sum a)) Source #
HasDatatypeInfo (Product a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Product a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Product a) -> DatatypeInfo (Code (Product a)) Source #
HasDatatypeInfo (Down a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Down a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Down a) -> DatatypeInfo (Code (Down a)) Source #
HasDatatypeInfo (NonEmpty a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (NonEmpty a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (NonEmpty a) -> DatatypeInfo (Code (NonEmpty a)) Source #
HasDatatypeInfo (I a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (I a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (I a) -> DatatypeInfo (Code (I a)) Source #
HasDatatypeInfo (Either a b) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Either a b) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Either a b) -> DatatypeInfo (Code (Either a b)) Source #
HasDatatypeInfo (V1 p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (V1 p) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (V1 p) -> DatatypeInfo (Code (V1 p)) Source #
HasDatatypeInfo (U1 p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (U1 p) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (U1 p) -> DatatypeInfo (Code (U1 p)) Source #
HasDatatypeInfo (a, b) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b) -> DatatypeInfo (Code (a, b)) Source #
HasDatatypeInfo (Arg a b) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Arg a b) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Arg a b) -> DatatypeInfo (Code (Arg a b)) Source #
HasDatatypeInfo (Proxy t) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Proxy t) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Proxy t) -> DatatypeInfo (Code (Proxy t)) Source #
HasDatatypeInfo (a, b, c) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c) -> DatatypeInfo (Code (a, b, c)) Source #
HasDatatypeInfo (BufferCodec from to state) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (BufferCodec from to state) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (BufferCodec from to state) -> DatatypeInfo (Code (BufferCodec from to state)) Source #
HasDatatypeInfo (Const a b) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Const a b) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Const a b) -> DatatypeInfo (Code (Const a b)) Source #
HasDatatypeInfo (Alt f a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Alt f a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Alt f a) -> DatatypeInfo (Code (Alt f a)) Source #
HasDatatypeInfo (K a b) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (K a b) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (K a b) -> DatatypeInfo (Code (K a b)) Source #
HasDatatypeInfo (K1 i c p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (K1 i c p) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (K1 i c p) -> DatatypeInfo (Code (K1 i c p)) Source #
HasDatatypeInfo ((f :+: g) p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ((f :+: g) p) :: DatatypeInfo Source # Methods datatypeInfo :: proxy ((f :+: g) p) -> DatatypeInfo (Code ((f :+: g) p)) Source #
HasDatatypeInfo ((f :*: g) p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ((f :: g) p) :: DatatypeInfo Source # Methods datatypeInfo :: proxy ((f :: g) p) -> DatatypeInfo (Code ((f :*: g) p)) Source #
HasDatatypeInfo (a, b, c, d) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d) -> DatatypeInfo (Code (a, b, c, d)) Source #
HasDatatypeInfo (Product f g a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Product f g a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Product f g a) -> DatatypeInfo (Code (Product f g a)) Source #
HasDatatypeInfo (Sum f g a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Sum f g a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Sum f g a) -> DatatypeInfo (Code (Sum f g a)) Source #
HasDatatypeInfo ((f -.-> g) a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ((f -.-> g) a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy ((f -.-> g) a) -> DatatypeInfo (Code ((f -.-> g) a)) Source #
HasDatatypeInfo (M1 i c f p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (M1 i c f p) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (M1 i c f p) -> DatatypeInfo (Code (M1 i c f p)) Source #
HasDatatypeInfo ((f :.: g) p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ((f :.: g) p) :: DatatypeInfo Source # Methods datatypeInfo :: proxy ((f :.: g) p) -> DatatypeInfo (Code ((f :.: g) p)) Source #
HasDatatypeInfo (a, b, c, d, e) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e) -> DatatypeInfo (Code (a, b, c, d, e)) Source #
HasDatatypeInfo (Compose f g a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Compose f g a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Compose f g a) -> DatatypeInfo (Code (Compose f g a)) Source #
HasDatatypeInfo ((f :.: g) p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ((f :.: g) p) :: DatatypeInfo Source # Methods datatypeInfo :: proxy ((f :.: g) p) -> DatatypeInfo (Code ((f :.: g) p)) Source #
HasDatatypeInfo (a, b, c, d, e, f) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f) -> DatatypeInfo (Code (a, b, c, d, e, f)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g) -> DatatypeInfo (Code (a, b, c, d, e, f, g)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28)) Source #
HasDatatypeInfo (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28, t29) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28, t29) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28, t29) -> DatatypeInfo (Code (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, t26, t27, t28, t29)) Source #

type DatatypeName = String Source #

The name of a datatype.

type ModuleName = String Source #

The name of a module.

type ConstructorName = String Source #

The name of a data constructor.

type FieldName = String Source #

The name of a field / record selector.

data Associativity #

Datatype to represent the associativity of a constructor

Constructors

LeftAssociative
RightAssociative
NotAssociative

Instances

Instances details

Bounded Associativity	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: Associativity # maxBound :: Associativity #
Enum Associativity	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods succ :: Associativity -> Associativity # pred :: Associativity -> Associativity # toEnum :: Int -> Associativity # fromEnum :: Associativity -> Int # enumFrom :: Associativity -> [Associativity] # enumFromThen :: Associativity -> Associativity -> [Associativity] # enumFromTo :: Associativity -> Associativity -> [Associativity] # enumFromThenTo :: Associativity -> Associativity -> Associativity -> [Associativity] #
Eq Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods (==) :: Associativity -> Associativity -> Bool # (/=) :: Associativity -> Associativity -> Bool #
Data Associativity	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) -> Associativity -> c Associativity # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Associativity # toConstr :: Associativity -> Constr # dataTypeOf :: Associativity -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Associativity) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Associativity) # gmapT :: (forall b. Data b => b -> b) -> Associativity -> Associativity # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Associativity -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Associativity -> r # gmapQ :: (forall d. Data d => d -> u) -> Associativity -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Associativity -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Associativity -> m Associativity # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Associativity -> m Associativity # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Associativity -> m Associativity #
Ord Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods compare :: Associativity -> Associativity -> Ordering # (<) :: Associativity -> Associativity -> Bool # (<=) :: Associativity -> Associativity -> Bool # (>) :: Associativity -> Associativity -> Bool # (>=) :: Associativity -> Associativity -> Bool # max :: Associativity -> Associativity -> Associativity # min :: Associativity -> Associativity -> Associativity #
Read Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS Associativity # readList :: ReadS [Associativity] # readPrec :: ReadPrec Associativity # readListPrec :: ReadPrec [Associativity] #
Show Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> Associativity -> ShowS # show :: Associativity -> String # showList :: [Associativity] -> ShowS #
Ix Associativity	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods range :: (Associativity, Associativity) -> [Associativity] # index :: (Associativity, Associativity) -> Associativity -> Int # unsafeIndex :: (Associativity, Associativity) -> Associativity -> Int # inRange :: (Associativity, Associativity) -> Associativity -> Bool # rangeSize :: (Associativity, Associativity) -> Int # unsafeRangeSize :: (Associativity, Associativity) -> Int #
Generic Associativity	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Associated Types type Rep Associativity :: Type -> Type # Methods from :: Associativity -> Rep Associativity x # to :: Rep Associativity x -> Associativity #
SingKind Associativity	Since: base-4.0.0.0
Instance details Defined in GHC.Generics Associated Types type DemoteRep Associativity Methods fromSing :: forall (a :: Associativity). Sing a -> DemoteRep Associativity
HasDatatypeInfo Associativity Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf Associativity :: DatatypeInfo Source # Methods datatypeInfo :: proxy Associativity -> DatatypeInfo (Code Associativity) Source #
Generic Associativity Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code Associativity :: [[Type]] Source # Methods from :: Associativity -> Rep Associativity Source # to :: Rep Associativity -> Associativity Source #
SingI 'LeftAssociative	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing 'LeftAssociative
SingI 'RightAssociative	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing 'RightAssociative
SingI 'NotAssociative	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing 'NotAssociative
type Rep Associativity
Instance details Defined in GHC.Generics type Rep Associativity = D1 ('MetaData "Associativity" "GHC.Generics" "base" 'False) (C1 ('MetaCons "LeftAssociative" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "RightAssociative" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "NotAssociative" 'PrefixI 'False) (U1 :: Type -> Type)))
data Sing (a :: Associativity)
Instance details Defined in GHC.Generics data Sing (a :: Associativity) where SLeftAssociative :: Sing 'LeftAssociative SRightAssociative :: Sing 'RightAssociative SNotAssociative :: Sing 'NotAssociative
type DemoteRep Associativity
Instance details Defined in GHC.Generics type DemoteRep Associativity = Associativity
type DatatypeInfoOf Associativity Source #
Instance details Defined in Generics.SOP.Instances type DatatypeInfoOf Associativity = 'ADT "GHC.Generics" "Associativity" '['Constructor "LeftAssociative", 'Constructor "RightAssociative", 'Constructor "NotAssociative"] '['[] :: [StrictnessInfo], '[] :: [StrictnessInfo], '[] :: [StrictnessInfo]]
type Code Associativity Source #
Instance details Defined in Generics.SOP.Instances type Code Associativity = '['[] :: [Type], '[] :: [Type], '[] :: [Type]]

type Fixity = Int Source #

The fixity of an infix constructor.

Combinators

Constructing products

class HPure (h :: (k -> Type) -> l -> Type) where #

Methods

hpure :: forall (xs :: l) f. SListIN h xs => (forall (a :: k). f a) -> h f xs #

hcpure :: forall c (xs :: l) proxy f. AllN h c xs => proxy c -> (forall (a :: k). c a => f a) -> h f xs #

Instances

Instances details

HPure (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP Methods hpure :: forall (xs :: l) f. SListIN POP xs => (forall (a :: k0). f a) -> POP f xs # hcpure :: forall c (xs :: l) proxy f. AllN POP c xs => proxy c -> (forall (a :: k0). c a => f a) -> POP f xs #
HPure (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP Methods hpure :: forall (xs :: l) f. SListIN NP xs => (forall (a :: k0). f a) -> NP f xs # hcpure :: forall c (xs :: l) proxy f. AllN NP c xs => proxy c -> (forall (a :: k0). c a => f a) -> NP f xs #

Destructing products

hd :: forall k f (x :: k) (xs :: [k]). NP f (x ': xs) -> f x #

tl :: forall k (f :: k -> Type) (x :: k) (xs :: [k]). NP f (x ': xs) -> NP f xs #

type Projection (f :: k -> Type) (xs :: [k]) = (K (NP f xs) :: k -> Type) -.-> f #

projections :: forall k (xs :: [k]) (f :: k -> Type). SListI xs => NP (Projection f xs) xs #

shiftProjection :: forall a1 (f :: a1 -> Type) (xs :: [a1]) (a2 :: a1) (x :: a1). Projection f xs a2 -> Projection f (x ': xs) a2 #

Application

newtype ((f :: k -> Type) -.-> (g :: k -> Type)) (a :: k) #

Constructors

Fn
Fields apFn :: f a -> g a

Instances

Instances details

HasDatatypeInfo ((f -.-> g) a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ((f -.-> g) a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy ((f -.-> g) a) -> DatatypeInfo (Code ((f -.-> g) a)) Source #
Generic ((f -.-> g) a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ((f -.-> g) a) :: [[Type]] Source # Methods from :: (f -.-> g) a -> Rep ((f -.-> g) a) Source # to :: Rep ((f -.-> g) a) -> (f -.-> g) a Source #
type DatatypeInfoOf ((f -.-> g) a) Source #
Instance details Defined in Generics.SOP.Instances type DatatypeInfoOf ((f -.-> g) a) = 'Newtype "Data.SOP.Classes" "-.->" ('Record "Fn" '['FieldInfo "apFn"])
type Code ((f -.-> g) a) Source #
Instance details Defined in Generics.SOP.Instances type Code ((f -.-> g) a) = '['[f a -> g a]]

fn :: forall k f (a :: k) f'. (f a -> f' a) -> (f -.-> f') a #

fn_2 :: forall k f (a :: k) f' f''. (f a -> f' a -> f'' a) -> (f -.-> (f' -.-> f'')) a #

fn_3 :: forall k f (a :: k) f' f'' f'''. (f a -> f' a -> f'' a -> f''' a) -> (f -.-> (f' -.-> (f'' -.-> f'''))) a #

fn_4 :: forall k f (a :: k) f' f'' f''' f''''. (f a -> f' a -> f'' a -> f''' a -> f'''' a) -> (f -.-> (f' -.-> (f'' -.-> (f''' -.-> f'''')))) a #

type family Prod (h :: (k -> Type) -> l -> Type) :: (k -> Type) -> l -> Type #

Instances

Instances details

type Prod (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS type Prod (NS :: (k -> Type) -> [k] -> Type) = NP :: (k -> Type) -> [k] -> Type
type Prod (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS type Prod (SOP :: (k -> Type) -> [[k]] -> Type) = POP :: (k -> Type) -> [[k]] -> Type
type Prod (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP type Prod (NP :: (k -> Type) -> [k] -> Type) = NP :: (k -> Type) -> [k] -> Type
type Prod (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP type Prod (POP :: (k -> Type) -> [[k]] -> Type) = POP :: (k -> Type) -> [[k]] -> Type

class (Prod (Prod h) ~ Prod h, HPure (Prod h)) => HAp (h :: (k -> Type) -> l -> Type) where #

Methods

hap :: forall (f :: k -> Type) (g :: k -> Type) (xs :: l). Prod h (f -.-> g) xs -> h f xs -> h g xs #

Instances

Instances details

HAp (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hap :: forall (f :: k0 -> Type) (g :: k0 -> Type) (xs :: l). Prod SOP (f -.-> g) xs -> SOP f xs -> SOP g xs #
HAp (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hap :: forall (f :: k0 -> Type) (g :: k0 -> Type) (xs :: l). Prod NS (f -.-> g) xs -> NS f xs -> NS g xs #
HAp (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP Methods hap :: forall (f :: k0 -> Type) (g :: k0 -> Type) (xs :: l). Prod POP (f -.-> g) xs -> POP f xs -> POP g xs #
HAp (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP Methods hap :: forall (f :: k0 -> Type) (g :: k0 -> Type) (xs :: l). Prod NP (f -.-> g) xs -> NP f xs -> NP g xs #

Lifting / mapping

hliftA :: forall k l h (xs :: l) f f'. (SListIN (Prod h) xs, HAp h) => (forall (a :: k). f a -> f' a) -> h f xs -> h f' xs #

hliftA2 :: forall k l h (xs :: l) f f' f''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) => (forall (a :: k). f a -> f' a -> f'' a) -> Prod h f xs -> h f' xs -> h f'' xs #

hliftA3 :: forall k l h (xs :: l) f f' f'' f'''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) => (forall (a :: k). f a -> f' a -> f'' a -> f''' a) -> Prod h f xs -> Prod h f' xs -> h f'' xs -> h f''' xs #

hcliftA :: forall k l h c (xs :: l) proxy f f'. (AllN (Prod h) c xs, HAp h) => proxy c -> (forall (a :: k). c a => f a -> f' a) -> h f xs -> h f' xs #

hcliftA2 :: forall k l h c (xs :: l) proxy f f' f''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) => proxy c -> (forall (a :: k). c a => f a -> f' a -> f'' a) -> Prod h f xs -> h f' xs -> h f'' xs #

hcliftA3 :: forall k l h c (xs :: l) proxy f f' f'' f'''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) => proxy c -> (forall (a :: k). c a => f a -> f' a -> f'' a -> f''' a) -> Prod h f xs -> Prod h f' xs -> h f'' xs -> h f''' xs #

hmap :: forall k l h (xs :: l) f f'. (SListIN (Prod h) xs, HAp h) => (forall (a :: k). f a -> f' a) -> h f xs -> h f' xs #

hzipWith :: forall k l h (xs :: l) f f' f''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) => (forall (a :: k). f a -> f' a -> f'' a) -> Prod h f xs -> h f' xs -> h f'' xs #

hzipWith3 :: forall k l h (xs :: l) f f' f'' f'''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) => (forall (a :: k). f a -> f' a -> f'' a -> f''' a) -> Prod h f xs -> Prod h f' xs -> h f'' xs -> h f''' xs #

hcmap :: forall k l h c (xs :: l) proxy f f'. (AllN (Prod h) c xs, HAp h) => proxy c -> (forall (a :: k). c a => f a -> f' a) -> h f xs -> h f' xs #

hczipWith :: forall k l h c (xs :: l) proxy f f' f''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) => proxy c -> (forall (a :: k). c a => f a -> f' a -> f'' a) -> Prod h f xs -> h f' xs -> h f'' xs #

hczipWith3 :: forall k l h c (xs :: l) proxy f f' f'' f'''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) => proxy c -> (forall (a :: k). c a => f a -> f' a -> f'' a -> f''' a) -> Prod h f xs -> Prod h f' xs -> h f'' xs -> h f''' xs #

Constructing sums

type Injection (f :: k -> Type) (xs :: [k]) = f -.-> (K (NS f xs) :: k -> Type) #

injections :: forall k (xs :: [k]) (f :: k -> Type). SListI xs => NP (Injection f xs) xs #

shift :: forall a1 (f :: a1 -> Type) (xs :: [a1]) (a2 :: a1) (x :: a1). Injection f xs a2 -> Injection f (x ': xs) a2 #

shiftInjection :: forall a1 (f :: a1 -> Type) (xs :: [a1]) (a2 :: a1) (x :: a1). Injection f xs a2 -> Injection f (x ': xs) a2 #

type family UnProd (h :: (k -> Type) -> l -> Type) :: (k -> Type) -> l -> Type #

Instances

Instances details

type UnProd (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS type UnProd (NP :: (k -> Type) -> [k] -> Type) = NS :: (k -> Type) -> [k] -> Type
type UnProd (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS type UnProd (POP :: (k -> Type) -> [[k]] -> Type) = SOP :: (k -> Type) -> [[k]] -> Type

class UnProd (Prod h) ~ h => HApInjs (h :: (k -> Type) -> l -> Type) where #

Methods

hapInjs :: forall (xs :: l) (f :: k -> Type). SListIN h xs => Prod h f xs -> [h f xs] #

Instances

Instances details

HApInjs (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hapInjs :: forall (xs :: l) (f :: k0 -> Type). SListIN SOP xs => Prod SOP f xs -> [SOP f xs] #
HApInjs (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hapInjs :: forall (xs :: l) (f :: k0 -> Type). SListIN NS xs => Prod NS f xs -> [NS f xs] #

apInjs_NP :: forall k (xs :: [k]) (f :: k -> Type). SListI xs => NP f xs -> [NS f xs] #

apInjs_POP :: forall k (xss :: [[k]]) (f :: k -> Type). SListI xss => POP f xss -> [SOP f xss] #

Destructing sums

unZ :: forall k f (x :: k). NS f '[x] -> f x #

class HIndex (h :: (k -> Type) -> l -> Type) where #

Methods

hindex :: forall (f :: k -> Type) (xs :: l). h f xs -> Int #

Instances

Instances details

HIndex (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hindex :: forall (f :: k0 -> Type) (xs :: l). SOP f xs -> Int #
HIndex (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hindex :: forall (f :: k0 -> Type) (xs :: l). NS f xs -> Int #

type Ejection (f :: k -> Type) (xs :: [k]) = (K (NS f xs) :: k -> Type) -.-> (Maybe :.: f) #

ejections :: forall k (xs :: [k]) (f :: k -> Type). SListI xs => NP (Ejection f xs) xs #

shiftEjection :: forall a1 (f :: a1 -> Type) (x :: a1) (xs :: [a1]) (a2 :: a1). Ejection f xs a2 -> Ejection f (x ': xs) a2 #

Dealing with `All c`

hcliftA' :: forall k (c :: k -> Constraint) (xss :: [[k]]) h proxy f f'. (All2 c xss, Prod h ~ (NP :: ([k] -> Type) -> [[k]] -> Type), HAp h) => proxy c -> (forall (xs :: [k]). All c xs => f xs -> f' xs) -> h f xss -> h f' xss #

hcliftA2' :: forall k (c :: k -> Constraint) (xss :: [[k]]) h proxy f f' f''. (All2 c xss, Prod h ~ (NP :: ([k] -> Type) -> [[k]] -> Type), HAp h) => proxy c -> (forall (xs :: [k]). All c xs => f xs -> f' xs -> f'' xs) -> Prod h f xss -> h f' xss -> h f'' xss #

hcliftA3' :: forall k (c :: k -> Constraint) (xss :: [[k]]) h proxy f f' f'' f'''. (All2 c xss, Prod h ~ (NP :: ([k] -> Type) -> [[k]] -> Type), HAp h) => proxy c -> (forall (xs :: [k]). All c xs => f xs -> f' xs -> f'' xs -> f''' xs) -> Prod h f xss -> Prod h f' xss -> h f'' xss -> h f''' xss #

Comparison

compare_NS :: forall k r f g (xs :: [k]). r -> (forall (x :: k). f x -> g x -> r) -> r -> NS f xs -> NS g xs -> r #

ccompare_NS :: forall k c proxy r f g (xs :: [k]). All c xs => proxy c -> r -> (forall (x :: k). c x => f x -> g x -> r) -> r -> NS f xs -> NS g xs -> r #

compare_SOP :: forall k r (f :: k -> Type) (g :: k -> Type) (xss :: [[k]]). r -> (forall (xs :: [k]). NP f xs -> NP g xs -> r) -> r -> SOP f xss -> SOP g xss -> r #

ccompare_SOP :: forall k (c :: k -> Constraint) proxy r (f :: k -> Type) (g :: k -> Type) (xss :: [[k]]). All2 c xss => proxy c -> r -> (forall (xs :: [k]). All c xs => NP f xs -> NP g xs -> r) -> r -> SOP f xss -> SOP g xss -> r #

Collapsing

type family CollapseTo (h :: (k -> Type) -> l -> Type) x #

Instances

Instances details

type CollapseTo (NS :: (k -> Type) -> [k] -> Type) a
Instance details Defined in Data.SOP.NS type CollapseTo (NS :: (k -> Type) -> [k] -> Type) a = a
type CollapseTo (SOP :: (k -> Type) -> [[k]] -> Type) a
Instance details Defined in Data.SOP.NS type CollapseTo (SOP :: (k -> Type) -> [[k]] -> Type) a = [a]
type CollapseTo (NP :: (k -> Type) -> [k] -> Type) a
Instance details Defined in Data.SOP.NP type CollapseTo (NP :: (k -> Type) -> [k] -> Type) a = [a]
type CollapseTo (POP :: (k -> Type) -> [[k]] -> Type) a
Instance details Defined in Data.SOP.NP type CollapseTo (POP :: (k -> Type) -> [[k]] -> Type) a = [[a]]

class HCollapse (h :: (k -> Type) -> l -> Type) where #

Methods

hcollapse :: forall (xs :: l) a. SListIN h xs => h (K a :: k -> Type) xs -> CollapseTo h a #

Instances

Instances details

HCollapse (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hcollapse :: forall (xs :: l) a. SListIN SOP xs => SOP (K a) xs -> CollapseTo SOP a #
HCollapse (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hcollapse :: forall (xs :: l) a. SListIN NS xs => NS (K a) xs -> CollapseTo NS a #
HCollapse (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP Methods hcollapse :: forall (xs :: l) a. SListIN POP xs => POP (K a) xs -> CollapseTo POP a #
HCollapse (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP Methods hcollapse :: forall (xs :: l) a. SListIN NP xs => NP (K a) xs -> CollapseTo NP a #

Folding and sequencing

class HTraverse_ (h :: (k -> Type) -> l -> Type) where #

Methods

hctraverse_ :: forall c (xs :: l) g proxy f. (AllN h c xs, Applicative g) => proxy c -> (forall (a :: k). c a => f a -> g ()) -> h f xs -> g () #

htraverse_ :: forall (xs :: l) g f. (SListIN h xs, Applicative g) => (forall (a :: k). f a -> g ()) -> h f xs -> g () #

Instances

Instances details

HTraverse_ (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hctraverse_ :: forall c (xs :: l) g proxy f. (AllN SOP c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g ()) -> SOP f xs -> g () # htraverse_ :: forall (xs :: l) g f. (SListIN SOP xs, Applicative g) => (forall (a :: k0). f a -> g ()) -> SOP f xs -> g () #
HTraverse_ (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hctraverse_ :: forall c (xs :: l) g proxy f. (AllN NS c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g ()) -> NS f xs -> g () # htraverse_ :: forall (xs :: l) g f. (SListIN NS xs, Applicative g) => (forall (a :: k0). f a -> g ()) -> NS f xs -> g () #
HTraverse_ (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP Methods hctraverse_ :: forall c (xs :: l) g proxy f. (AllN POP c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g ()) -> POP f xs -> g () # htraverse_ :: forall (xs :: l) g f. (SListIN POP xs, Applicative g) => (forall (a :: k0). f a -> g ()) -> POP f xs -> g () #
HTraverse_ (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP Methods hctraverse_ :: forall c (xs :: l) g proxy f. (AllN NP c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g ()) -> NP f xs -> g () # htraverse_ :: forall (xs :: l) g f. (SListIN NP xs, Applicative g) => (forall (a :: k0). f a -> g ()) -> NP f xs -> g () #

hcfoldMap :: forall k l h c (xs :: l) m proxy f. (HTraverse_ h, AllN h c xs, Monoid m) => proxy c -> (forall (a :: k). c a => f a -> m) -> h f xs -> m #

hcfor_ :: forall k l h c (xs :: l) g proxy f. (HTraverse_ h, AllN h c xs, Applicative g) => proxy c -> h f xs -> (forall (a :: k). c a => f a -> g ()) -> g () #

class HAp h => HSequence (h :: (k -> Type) -> l -> Type) where #

Methods

hsequence' :: forall (xs :: l) f (g :: k -> Type). (SListIN h xs, Applicative f) => h (f :.: g) xs -> f (h g xs) #

hctraverse' :: forall c (xs :: l) g proxy f f'. (AllN h c xs, Applicative g) => proxy c -> (forall (a :: k). c a => f a -> g (f' a)) -> h f xs -> g (h f' xs) #

htraverse' :: forall (xs :: l) g f f'. (SListIN h xs, Applicative g) => (forall (a :: k). f a -> g (f' a)) -> h f xs -> g (h f' xs) #

Instances

Instances details

HSequence (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hsequence' :: forall (xs :: l) f (g :: k0 -> Type). (SListIN SOP xs, Applicative f) => SOP (f :.: g) xs -> f (SOP g xs) # hctraverse' :: forall c (xs :: l) g proxy f f'. (AllN SOP c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g (f' a)) -> SOP f xs -> g (SOP f' xs) # htraverse' :: forall (xs :: l) g f f'. (SListIN SOP xs, Applicative g) => (forall (a :: k0). f a -> g (f' a)) -> SOP f xs -> g (SOP f' xs) #
HSequence (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hsequence' :: forall (xs :: l) f (g :: k0 -> Type). (SListIN NS xs, Applicative f) => NS (f :.: g) xs -> f (NS g xs) # hctraverse' :: forall c (xs :: l) g proxy f f'. (AllN NS c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g (f' a)) -> NS f xs -> g (NS f' xs) # htraverse' :: forall (xs :: l) g f f'. (SListIN NS xs, Applicative g) => (forall (a :: k0). f a -> g (f' a)) -> NS f xs -> g (NS f' xs) #
HSequence (POP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NP Methods hsequence' :: forall (xs :: l) f (g :: k0 -> Type). (SListIN POP xs, Applicative f) => POP (f :.: g) xs -> f (POP g xs) # hctraverse' :: forall c (xs :: l) g proxy f f'. (AllN POP c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g (f' a)) -> POP f xs -> g (POP f' xs) # htraverse' :: forall (xs :: l) g f f'. (SListIN POP xs, Applicative g) => (forall (a :: k0). f a -> g (f' a)) -> POP f xs -> g (POP f' xs) #
HSequence (NP :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NP Methods hsequence' :: forall (xs :: l) f (g :: k0 -> Type). (SListIN NP xs, Applicative f) => NP (f :.: g) xs -> f (NP g xs) # hctraverse' :: forall c (xs :: l) g proxy f f'. (AllN NP c xs, Applicative g) => proxy c -> (forall (a :: k0). c a => f a -> g (f' a)) -> NP f xs -> g (NP f' xs) # htraverse' :: forall (xs :: l) g f f'. (SListIN NP xs, Applicative g) => (forall (a :: k0). f a -> g (f' a)) -> NP f xs -> g (NP f' xs) #

hsequence :: forall l h (xs :: l) f. (SListIN h xs, SListIN (Prod h) xs, HSequence h, Applicative f) => h f xs -> f (h I xs) #

hsequenceK :: forall k l h (xs :: l) f a. (SListIN h xs, SListIN (Prod h) xs, Applicative f, HSequence h) => h (K (f a) :: k -> Type) xs -> f (h (K a :: k -> Type) xs) #

hctraverse :: forall l h c (xs :: l) g proxy f. (HSequence h, AllN h c xs, Applicative g) => proxy c -> (forall a. c a => f a -> g a) -> h f xs -> g (h I xs) #

hcfor :: forall l h c (xs :: l) g proxy f. (HSequence h, AllN h c xs, Applicative g) => proxy c -> h f xs -> (forall a. c a => f a -> g a) -> g (h I xs) #

Expanding sums to products

class HExpand (h :: (k -> Type) -> l -> Type) where #

Methods

hexpand :: forall (xs :: l) f. SListIN (Prod h) xs => (forall (x :: k). f x) -> h f xs -> Prod h f xs #

hcexpand :: forall c (xs :: l) proxy f. AllN (Prod h) c xs => proxy c -> (forall (x :: k). c x => f x) -> h f xs -> Prod h f xs #

Instances

Instances details

HExpand (SOP :: (k -> Type) -> [[k]] -> Type)
Instance details Defined in Data.SOP.NS Methods hexpand :: forall (xs :: l) f. SListIN (Prod SOP) xs => (forall (x :: k0). f x) -> SOP f xs -> Prod SOP f xs # hcexpand :: forall c (xs :: l) proxy f. AllN (Prod SOP) c xs => proxy c -> (forall (x :: k0). c x => f x) -> SOP f xs -> Prod SOP f xs #
HExpand (NS :: (k -> Type) -> [k] -> Type)
Instance details Defined in Data.SOP.NS Methods hexpand :: forall (xs :: l) f. SListIN (Prod NS) xs => (forall (x :: k0). f x) -> NS f xs -> Prod NS f xs # hcexpand :: forall c (xs :: l) proxy f. AllN (Prod NS) c xs => proxy c -> (forall (x :: k0). c x => f x) -> NS f xs -> Prod NS f xs #

Transformation of index lists and coercions

class ((Same h1 :: (k2 -> Type) -> l2 -> Type) ~ h2, (Same h2 :: (k1 -> Type) -> l1 -> Type) ~ h1) => HTrans (h1 :: (k1 -> Type) -> l1 -> Type) (h2 :: (k2 -> Type) -> l2 -> Type) where #

Methods

htrans :: forall c (xs :: l1) (ys :: l2) proxy f g. AllZipN (Prod h1) c xs ys => proxy c -> (forall (x :: k1) (y :: k2). c x y => f x -> g y) -> h1 f xs -> h2 g ys #

hcoerce :: forall (f :: k1 -> Type) (g :: k2 -> Type) (xs :: l1) (ys :: l2). (AllZipN (Prod h1) (LiftedCoercible f g) xs ys, HTrans h1 h2) => h1 f xs -> h2 g ys #

Instances

Instances details

HTrans (SOP :: (k1 -> Type) -> [[k1]] -> Type) (SOP :: (k2 -> Type) -> [[k2]] -> Type)
Instance details Defined in Data.SOP.NS Methods htrans :: forall c (xs :: l1) (ys :: l2) proxy f g. AllZipN (Prod SOP) c xs ys => proxy c -> (forall (x :: k10) (y :: k20). c x y => f x -> g y) -> SOP f xs -> SOP g ys # hcoerce :: forall (f :: k10 -> Type) (g :: k20 -> Type) (xs :: l1) (ys :: l2). (AllZipN (Prod SOP) (LiftedCoercible f g) xs ys, HTrans SOP SOP) => SOP f xs -> SOP g ys #
HTrans (NS :: (k1 -> Type) -> [k1] -> Type) (NS :: (k2 -> Type) -> [k2] -> Type)
Instance details Defined in Data.SOP.NS Methods htrans :: forall c (xs :: l1) (ys :: l2) proxy f g. AllZipN (Prod NS) c xs ys => proxy c -> (forall (x :: k10) (y :: k20). c x y => f x -> g y) -> NS f xs -> NS g ys # hcoerce :: forall (f :: k10 -> Type) (g :: k20 -> Type) (xs :: l1) (ys :: l2). (AllZipN (Prod NS) (LiftedCoercible f g) xs ys, HTrans NS NS) => NS f xs -> NS g ys #
HTrans (POP :: (k1 -> Type) -> [[k1]] -> Type) (POP :: (k2 -> Type) -> [[k2]] -> Type)
Instance details Defined in Data.SOP.NP Methods htrans :: forall c (xs :: l1) (ys :: l2) proxy f g. AllZipN (Prod POP) c xs ys => proxy c -> (forall (x :: k10) (y :: k20). c x y => f x -> g y) -> POP f xs -> POP g ys # hcoerce :: forall (f :: k10 -> Type) (g :: k20 -> Type) (xs :: l1) (ys :: l2). (AllZipN (Prod POP) (LiftedCoercible f g) xs ys, HTrans POP POP) => POP f xs -> POP g ys #
HTrans (NP :: (k1 -> Type) -> [k1] -> Type) (NP :: (k2 -> Type) -> [k2] -> Type)
Instance details Defined in Data.SOP.NP Methods htrans :: forall c (xs :: l1) (ys :: l2) proxy f g. AllZipN (Prod NP) c xs ys => proxy c -> (forall (x :: k10) (y :: k20). c x y => f x -> g y) -> NP f xs -> NP g ys # hcoerce :: forall (f :: k10 -> Type) (g :: k20 -> Type) (xs :: l1) (ys :: l2). (AllZipN (Prod NP) (LiftedCoercible f g) xs ys, HTrans NP NP) => NP f xs -> NP g ys #

hfromI :: forall l1 k2 l2 h1 (f :: k2 -> Type) (xs :: l1) (ys :: l2) h2. (AllZipN (Prod h1) (LiftedCoercible I f) xs ys, HTrans h1 h2) => h1 I xs -> h2 f ys #

htoI :: forall k1 l1 l2 h1 (f :: k1 -> Type) (xs :: l1) (ys :: l2) h2. (AllZipN (Prod h1) (LiftedCoercible f I) xs ys, HTrans h1 h2) => h1 f xs -> h2 I ys #

Partial operations

fromList :: forall k (xs :: [k]) a. SListI xs => [a] -> Maybe (NP (K a :: k -> Type) xs) #

Utilities

Basic functors

newtype K a (b :: k) #

Constructors

K a

Instances

Instances details

Eq2 (K :: Type -> Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> K a c -> K b d -> Bool #
Ord2 (K :: Type -> Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> K a c -> K b d -> Ordering #
Read2 (K :: Type -> Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (K a b) # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [K a b] # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (K a b) # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [K a b] #
Show2 (K :: Type -> Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> K a b -> ShowS # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [K a b] -> ShowS #
NFData2 (K :: Type -> Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftRnf2 :: (a -> ()) -> (b -> ()) -> K a b -> () #
Functor (K a :: Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods fmap :: (a0 -> b) -> K a a0 -> K a b # (<$) :: a0 -> K a b -> K a a0 #
Monoid a => Applicative (K a :: Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods pure :: a0 -> K a a0 # (<>) :: K a (a0 -> b) -> K a a0 -> K a b # liftA2 :: (a0 -> b -> c) -> K a a0 -> K a b -> K a c # (>) :: K a a0 -> K a b -> K a b # (<*) :: K a a0 -> K a b -> K a a0 #
Foldable (K a :: Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods fold :: Monoid m => K a m -> m # foldMap :: Monoid m => (a0 -> m) -> K a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> K a a0 -> m # foldr :: (a0 -> b -> b) -> b -> K a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> K a a0 -> b # foldl :: (b -> a0 -> b) -> b -> K a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> K a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> K a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> K a a0 -> a0 # toList :: K a a0 -> [a0] # null :: K a a0 -> Bool # length :: K a a0 -> Int # elem :: Eq a0 => a0 -> K a a0 -> Bool # maximum :: Ord a0 => K a a0 -> a0 # minimum :: Ord a0 => K a a0 -> a0 # sum :: Num a0 => K a a0 -> a0 # product :: Num a0 => K a a0 -> a0 #
Traversable (K a :: Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods traverse :: Applicative f => (a0 -> f b) -> K a a0 -> f (K a b) # sequenceA :: Applicative f => K a (f a0) -> f (K a a0) # mapM :: Monad m => (a0 -> m b) -> K a a0 -> m (K a b) # sequence :: Monad m => K a (m a0) -> m (K a a0) #
Eq a => Eq1 (K a :: Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftEq :: (a0 -> b -> Bool) -> K a a0 -> K a b -> Bool #
Ord a => Ord1 (K a :: Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftCompare :: (a0 -> b -> Ordering) -> K a a0 -> K a b -> Ordering #
Read a => Read1 (K a :: Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (K a a0) # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [K a a0] # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (K a a0) # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [K a a0] #
Show a => Show1 (K a :: Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> K a a0 -> ShowS # liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [K a a0] -> ShowS #
NFData a => NFData1 (K a :: Type -> Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftRnf :: (a0 -> ()) -> K a a0 -> () #
Eq a => Eq (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods (==) :: K a b -> K a b -> Bool # (/=) :: K a b -> K a b -> Bool #
Ord a => Ord (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods compare :: K a b -> K a b -> Ordering # (<) :: K a b -> K a b -> Bool # (<=) :: K a b -> K a b -> Bool # (>) :: K a b -> K a b -> Bool # (>=) :: K a b -> K a b -> Bool # max :: K a b -> K a b -> K a b # min :: K a b -> K a b -> K a b #
Read a => Read (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods readsPrec :: Int -> ReadS (K a b) # readList :: ReadS [K a b] # readPrec :: ReadPrec (K a b) # readListPrec :: ReadPrec [K a b] #
Show a => Show (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods showsPrec :: Int -> K a b -> ShowS # show :: K a b -> String # showList :: [K a b] -> ShowS #
Generic (K a b)
Instance details Defined in Data.SOP.BasicFunctors Associated Types type Rep (K a b) :: Type -> Type # Methods from :: K a b -> Rep (K a b) x # to :: Rep (K a b) x -> K a b #
Semigroup a => Semigroup (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods (<>) :: K a b -> K a b -> K a b # sconcat :: NonEmpty (K a b) -> K a b # stimes :: Integral b0 => b0 -> K a b -> K a b #
Monoid a => Monoid (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods mempty :: K a b # mappend :: K a b -> K a b -> K a b # mconcat :: [K a b] -> K a b #
NFData a => NFData (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods rnf :: K a b -> () #
HasDatatypeInfo (K a b) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (K a b) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (K a b) -> DatatypeInfo (Code (K a b)) Source #
Generic (K a b) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (K a b) :: [[Type]] Source # Methods from :: K a b -> Rep (K a b) Source # to :: Rep (K a b) -> K a b Source #
type Rep (K a b)
Instance details Defined in Data.SOP.BasicFunctors type Rep (K a b) = D1 ('MetaData "K" "Data.SOP.BasicFunctors" "sop-core-0.5.0.0-inplace" 'True) (C1 ('MetaCons "K" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
type DatatypeInfoOf (K a b) Source #
Instance details Defined in Generics.SOP.Instances type DatatypeInfoOf (K a b) = 'Newtype "Data.SOP.BasicFunctors" "K" ('Constructor "K")
type Code (K a b) Source #
Instance details Defined in Generics.SOP.Instances type Code (K a b) = '['[a]]

unK :: forall k a (b :: k). K a b -> a #

newtype I a #

Constructors

I a

Instances

Instances details

Monad I
Instance details Defined in Data.SOP.BasicFunctors Methods (>>=) :: I a -> (a -> I b) -> I b # (>>) :: I a -> I b -> I b # return :: a -> I a #
Functor I
Instance details Defined in Data.SOP.BasicFunctors Methods fmap :: (a -> b) -> I a -> I b # (<$) :: a -> I b -> I a #
Applicative I
Instance details Defined in Data.SOP.BasicFunctors Methods pure :: a -> I a # (<>) :: I (a -> b) -> I a -> I b # liftA2 :: (a -> b -> c) -> I a -> I b -> I c # (>) :: I a -> I b -> I b # (<*) :: I a -> I b -> I a #
Foldable I
Instance details Defined in Data.SOP.BasicFunctors Methods fold :: Monoid m => I m -> m # foldMap :: Monoid m => (a -> m) -> I a -> m # foldMap' :: Monoid m => (a -> m) -> I a -> m # foldr :: (a -> b -> b) -> b -> I a -> b # foldr' :: (a -> b -> b) -> b -> I a -> b # foldl :: (b -> a -> b) -> b -> I a -> b # foldl' :: (b -> a -> b) -> b -> I a -> b # foldr1 :: (a -> a -> a) -> I a -> a # foldl1 :: (a -> a -> a) -> I a -> a # toList :: I a -> [a] # null :: I a -> Bool # length :: I a -> Int # elem :: Eq a => a -> I a -> Bool # maximum :: Ord a => I a -> a # minimum :: Ord a => I a -> a # sum :: Num a => I a -> a # product :: Num a => I a -> a #
Traversable I
Instance details Defined in Data.SOP.BasicFunctors Methods traverse :: Applicative f => (a -> f b) -> I a -> f (I b) # sequenceA :: Applicative f => I (f a) -> f (I a) # mapM :: Monad m => (a -> m b) -> I a -> m (I b) # sequence :: Monad m => I (m a) -> m (I a) #
Eq1 I
Instance details Defined in Data.SOP.BasicFunctors Methods liftEq :: (a -> b -> Bool) -> I a -> I b -> Bool #
Ord1 I
Instance details Defined in Data.SOP.BasicFunctors Methods liftCompare :: (a -> b -> Ordering) -> I a -> I b -> Ordering #
Read1 I
Instance details Defined in Data.SOP.BasicFunctors Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (I a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [I a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (I a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [I a] #
Show1 I
Instance details Defined in Data.SOP.BasicFunctors Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> I a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [I a] -> ShowS #
NFData1 I
Instance details Defined in Data.SOP.BasicFunctors Methods liftRnf :: (a -> ()) -> I a -> () #
Eq a => Eq (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods (==) :: I a -> I a -> Bool # (/=) :: I a -> I a -> Bool #
Ord a => Ord (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods compare :: I a -> I a -> Ordering # (<) :: I a -> I a -> Bool # (<=) :: I a -> I a -> Bool # (>) :: I a -> I a -> Bool # (>=) :: I a -> I a -> Bool # max :: I a -> I a -> I a # min :: I a -> I a -> I a #
Read a => Read (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods readsPrec :: Int -> ReadS (I a) # readList :: ReadS [I a] # readPrec :: ReadPrec (I a) # readListPrec :: ReadPrec [I a] #
Show a => Show (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods showsPrec :: Int -> I a -> ShowS # show :: I a -> String # showList :: [I a] -> ShowS #
Generic (I a)
Instance details Defined in Data.SOP.BasicFunctors Associated Types type Rep (I a) :: Type -> Type # Methods from :: I a -> Rep (I a) x # to :: Rep (I a) x -> I a #
Semigroup a => Semigroup (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods (<>) :: I a -> I a -> I a # sconcat :: NonEmpty (I a) -> I a # stimes :: Integral b => b -> I a -> I a #
Monoid a => Monoid (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods mempty :: I a # mappend :: I a -> I a -> I a # mconcat :: [I a] -> I a #
NFData a => NFData (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods rnf :: I a -> () #
HasDatatypeInfo (I a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (I a) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (I a) -> DatatypeInfo (Code (I a)) Source #
Generic (I a) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (I a) :: [[Type]] Source # Methods from :: I a -> Rep (I a) Source # to :: Rep (I a) -> I a Source #
type Rep (I a)
Instance details Defined in Data.SOP.BasicFunctors type Rep (I a) = D1 ('MetaData "I" "Data.SOP.BasicFunctors" "sop-core-0.5.0.0-inplace" 'True) (C1 ('MetaCons "I" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
type DatatypeInfoOf (I a) Source #
Instance details Defined in Generics.SOP.Instances type DatatypeInfoOf (I a) = 'Newtype "Data.SOP.BasicFunctors" "I" ('Constructor "I")
type Code (I a) Source #
Instance details Defined in Generics.SOP.Instances type Code (I a) = '['[a]]

unI :: I a -> a #

newtype ((f :: l -> Type) :.: (g :: k -> l)) (p :: k) #

Constructors

Comp (f (g p))

Instances

Instances details

(Functor f, Functor g) => Functor (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b # (<$) :: a -> (f :.: g) b -> (f :.: g) a #
(Applicative f, Applicative g) => Applicative (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods pure :: a -> (f :.: g) a # (<>) :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b # liftA2 :: (a -> b -> c) -> (f :.: g) a -> (f :.: g) b -> (f :.: g) c # (>) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b # (<*) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a #
(Foldable f, Foldable g) => Foldable (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods fold :: Monoid m => (f :.: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m # foldMap' :: Monoid m => (a -> m) -> (f :.: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldr1 :: (a -> a -> a) -> (f :.: g) a -> a # foldl1 :: (a -> a -> a) -> (f :.: g) a -> a # toList :: (f :.: g) a -> [a] # null :: (f :.: g) a -> Bool # length :: (f :.: g) a -> Int # elem :: Eq a => a -> (f :.: g) a -> Bool # maximum :: Ord a => (f :.: g) a -> a # minimum :: Ord a => (f :.: g) a -> a # sum :: Num a => (f :.: g) a -> a # product :: Num a => (f :.: g) a -> a #
(Traversable f, Traversable g) => Traversable (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) # sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) # mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) # sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) #
(Eq1 f, Eq1 g) => Eq1 (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods liftEq :: (a -> b -> Bool) -> (f :.: g) a -> (f :.: g) b -> Bool #
(Ord1 f, Ord1 g) => Ord1 (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods liftCompare :: (a -> b -> Ordering) -> (f :.: g) a -> (f :.: g) b -> Ordering #
(Read1 f, Read1 g) => Read1 (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS ((f :.: g) a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [(f :.: g) a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec ((f :.: g) a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [(f :.: g) a] #
(Show1 f, Show1 g) => Show1 (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> (f :.: g) a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [(f :.: g) a] -> ShowS #
(NFData1 f, NFData1 g) => NFData1 (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods liftRnf :: (a -> ()) -> (f :.: g) a -> () #
(Eq1 f, Eq1 g, Eq a) => Eq ((f :.: g) a)
Instance details Defined in Data.SOP.BasicFunctors Methods (==) :: (f :.: g) a -> (f :.: g) a -> Bool # (/=) :: (f :.: g) a -> (f :.: g) a -> Bool #
(Ord1 f, Ord1 g, Ord a) => Ord ((f :.: g) a)
Instance details Defined in Data.SOP.BasicFunctors Methods compare :: (f :.: g) a -> (f :.: g) a -> Ordering # (<) :: (f :.: g) a -> (f :.: g) a -> Bool # (<=) :: (f :.: g) a -> (f :.: g) a -> Bool # (>) :: (f :.: g) a -> (f :.: g) a -> Bool # (>=) :: (f :.: g) a -> (f :.: g) a -> Bool # max :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a # min :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a #
(Read1 f, Read1 g, Read a) => Read ((f :.: g) a)
Instance details Defined in Data.SOP.BasicFunctors Methods readsPrec :: Int -> ReadS ((f :.: g) a) # readList :: ReadS [(f :.: g) a] # readPrec :: ReadPrec ((f :.: g) a) # readListPrec :: ReadPrec [(f :.: g) a] #
(Show1 f, Show1 g, Show a) => Show ((f :.: g) a)
Instance details Defined in Data.SOP.BasicFunctors Methods showsPrec :: Int -> (f :.: g) a -> ShowS # show :: (f :.: g) a -> String # showList :: [(f :.: g) a] -> ShowS #
Generic ((f :.: g) p)
Instance details Defined in Data.SOP.BasicFunctors Associated Types type Rep ((f :.: g) p) :: Type -> Type # Methods from :: (f :.: g) p -> Rep ((f :.: g) p) x # to :: Rep ((f :.: g) p) x -> (f :.: g) p #
Semigroup (f (g x)) => Semigroup ((f :.: g) x)
Instance details Defined in Data.SOP.BasicFunctors Methods (<>) :: (f :.: g) x -> (f :.: g) x -> (f :.: g) x # sconcat :: NonEmpty ((f :.: g) x) -> (f :.: g) x # stimes :: Integral b => b -> (f :.: g) x -> (f :.: g) x #
Monoid (f (g x)) => Monoid ((f :.: g) x)
Instance details Defined in Data.SOP.BasicFunctors Methods mempty :: (f :.: g) x # mappend :: (f :.: g) x -> (f :.: g) x -> (f :.: g) x # mconcat :: [(f :.: g) x] -> (f :.: g) x #
NFData (f (g a)) => NFData ((f :.: g) a)
Instance details Defined in Data.SOP.BasicFunctors Methods rnf :: (f :.: g) a -> () #
HasDatatypeInfo ((f :.: g) p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf ((f :.: g) p) :: DatatypeInfo Source # Methods datatypeInfo :: proxy ((f :.: g) p) -> DatatypeInfo (Code ((f :.: g) p)) Source #
Generic ((f :.: g) p) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code ((f :.: g) p) :: [[Type]] Source # Methods from :: (f :.: g) p -> Rep ((f :.: g) p) Source # to :: Rep ((f :.: g) p) -> (f :.: g) p Source #
type Rep ((f :.: g) p)
Instance details Defined in Data.SOP.BasicFunctors type Rep ((f :.: g) p) = D1 ('MetaData ":.:" "Data.SOP.BasicFunctors" "sop-core-0.5.0.0-inplace" 'True) (C1 ('MetaCons "Comp" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f (g p)))))
type DatatypeInfoOf ((f :.: g) p) Source #
Instance details Defined in Generics.SOP.Instances type DatatypeInfoOf ((f :.: g) p) = 'Newtype "Data.SOP.BasicFunctors" ":.:" ('Constructor "Comp")
type Code ((f :.: g) p) Source #
Instance details Defined in Generics.SOP.Instances type Code ((f :.: g) p) = '['[f (g p)]]

unComp :: forall l k f (g :: k -> l) (p :: k). (f :.: g) p -> f (g p) #

Mapping functions

mapII :: (a -> b) -> I a -> I b #

mapIK :: forall k a b (c :: k). (a -> b) -> I a -> K b c #

mapKI :: forall k a b (c :: k). (a -> b) -> K a c -> I b #

mapKK :: forall k1 k2 a b (c :: k1) (d :: k2). (a -> b) -> K a c -> K b d #

mapIII :: (a -> b -> c) -> I a -> I b -> I c #

mapIIK :: forall k a b c (d :: k). (a -> b -> c) -> I a -> I b -> K c d #

mapIKI :: forall k a b c (d :: k). (a -> b -> c) -> I a -> K b d -> I c #

mapIKK :: forall k1 k2 a b c (d :: k1) (e :: k2). (a -> b -> c) -> I a -> K b d -> K c e #

mapKII :: forall k a b c (d :: k). (a -> b -> c) -> K a d -> I b -> I c #

mapKIK :: forall k1 k2 a b c (d :: k1) (e :: k2). (a -> b -> c) -> K a d -> I b -> K c e #

mapKKI :: forall k1 k2 a b c (d :: k1) (e :: k2). (a -> b -> c) -> K a d -> K b e -> I c #

mapKKK :: forall k1 k2 k3 a b c (d :: k1) (e :: k2) (f :: k3). (a -> b -> c) -> K a d -> K b e -> K c f #

Mapping constraints

class (AllF c xs, SListI xs) => All (c :: k -> Constraint) (xs :: [k]) #

Minimal complete definition

cpara_SList

Instances

Instances details

All (c :: k -> Constraint) ('[] :: [k])
Instance details Defined in Data.SOP.Constraint Methods cpara_SList :: proxy c -> r '[] -> (forall (y :: k0) (ys :: [k0]). (c y, All c ys) => r ys -> r (y ': ys)) -> r '[] #
(c x, All c xs) => All (c :: a -> Constraint) (x ': xs :: [a])
Instance details Defined in Data.SOP.Constraint Methods cpara_SList :: proxy c -> r '[] -> (forall (y :: k) (ys :: [k]). (c y, All c ys) => r ys -> r (y ': ys)) -> r (x ': xs) #

type All2 (c :: k -> Constraint) = All (All c) #

cpara_SList :: All c xs => proxy c -> r ('[] :: [k]) -> (forall (y :: k) (ys :: [k]). (c y, All c ys) => r ys -> r (y ': ys)) -> r xs #

ccase_SList :: forall k c (xs :: [k]) proxy r. All c xs => proxy c -> r ('[] :: [k]) -> (forall (y :: k) (ys :: [k]). (c y, All c ys) => r (y ': ys)) -> r xs #

class (SListI xs, SListI ys, SameShapeAs xs ys, SameShapeAs ys xs, AllZipF c xs ys) => AllZip (c :: a -> b -> Constraint) (xs :: [a]) (ys :: [b]) #

Instances

Instances details

(SListI xs, SListI ys, SameShapeAs xs ys, SameShapeAs ys xs, AllZipF c xs ys) => AllZip (c :: a -> b -> Constraint) (xs :: [a]) (ys :: [b])
Instance details Defined in Data.SOP.Constraint

class (AllZipF (AllZip f) xss yss, SListI xss, SListI yss, SameShapeAs xss yss, SameShapeAs yss xss) => AllZip2 (f :: a -> b -> Constraint) (xss :: [[a]]) (yss :: [[b]]) #

Instances

Instances details

(AllZipF (AllZip f) xss yss, SListI xss, SListI yss, SameShapeAs xss yss, SameShapeAs yss xss) => AllZip2 (f :: a -> b -> Constraint) (xss :: [[a]]) (yss :: [[b]])
Instance details Defined in Data.SOP.Constraint

type family AllN (h :: (k -> Type) -> l -> Type) (c :: k -> Constraint) :: l -> Constraint #

Instances

Instances details

type AllN (NS :: (k -> Type) -> [k] -> Type) (c :: k -> Constraint)
Instance details Defined in Data.SOP.NS type AllN (NS :: (k -> Type) -> [k] -> Type) (c :: k -> Constraint) = All c
type AllN (SOP :: (k -> Type) -> [[k]] -> Type) (c :: k -> Constraint)
Instance details Defined in Data.SOP.NS type AllN (SOP :: (k -> Type) -> [[k]] -> Type) (c :: k -> Constraint) = All2 c
type AllN (NP :: (k -> Type) -> [k] -> Type) (c :: k -> Constraint)
Instance details Defined in Data.SOP.NP type AllN (NP :: (k -> Type) -> [k] -> Type) (c :: k -> Constraint) = All c
type AllN (POP :: (k -> Type) -> [[k]] -> Type) (c :: k -> Constraint)
Instance details Defined in Data.SOP.NP type AllN (POP :: (k -> Type) -> [[k]] -> Type) (c :: k -> Constraint) = All2 c

type family AllZipN (h :: (k -> Type) -> l -> Type) (c :: k1 -> k2 -> Constraint) :: l1 -> l2 -> Constraint #

Instances

Instances details

type AllZipN (NP :: (k -> Type) -> [k] -> Type) (c :: a -> b -> Constraint)
Instance details Defined in Data.SOP.NP type AllZipN (NP :: (k -> Type) -> [k] -> Type) (c :: a -> b -> Constraint) = AllZip c
type AllZipN (POP :: (k -> Type) -> [[k]] -> Type) (c :: a -> b -> Constraint)
Instance details Defined in Data.SOP.NP type AllZipN (POP :: (k -> Type) -> [[k]] -> Type) (c :: a -> b -> Constraint) = AllZip2 c

Other constraints

class f (g x) => Compose (f :: k -> Constraint) (g :: k1 -> k) (x :: k1) #

Instances

Instances details

f (g x) => Compose (f :: k1 -> Constraint) (g :: k2 -> k1) (x :: k2)
Instance details Defined in Data.SOP.Constraint

class (f x, g x) => And (f :: k -> Constraint) (g :: k -> Constraint) (x :: k) #

Instances

Instances details

(f x, g x) => And (f :: k -> Constraint) (g :: k -> Constraint) (x :: k)
Instance details Defined in Data.SOP.Constraint

class Top (x :: k) #

Instances

Instances details

Top (x :: k)
Instance details Defined in Data.SOP.Constraint

class Coercible (f x) (g y) => LiftedCoercible (f :: k -> k1) (g :: k2 -> k1) (x :: k) (y :: k2) #

Instances

Instances details

Coercible (f x) (g y) => LiftedCoercible (f :: k1 -> k2) (g :: k3 -> k2) (x :: k1) (y :: k3)
Instance details Defined in Data.SOP.Constraint

type family SameShapeAs (xs :: [a]) (ys :: [b]) where ... #

Equations

SameShapeAs ('[] :: [a]) (ys :: [b]) = ys ~ ('[] :: [b])
SameShapeAs (x ': xs :: [a1]) (ys :: [a2]) = ys ~ (Head ys ': Tail ys)

Singletons

data SList (a :: [k]) where #

Constructors

SNil :: forall k. SList ('[] :: [k])
SCons :: forall k (xs :: [k]) (x :: k). SListI xs => SList (x ': xs)

Instances

Instances details

Eq (SList xs)
Instance details Defined in Data.SOP.Sing Methods (==) :: SList xs -> SList xs -> Bool # (/=) :: SList xs -> SList xs -> Bool #
Ord (SList xs)
Instance details Defined in Data.SOP.Sing Methods compare :: SList xs -> SList xs -> Ordering # (<) :: SList xs -> SList xs -> Bool # (<=) :: SList xs -> SList xs -> Bool # (>) :: SList xs -> SList xs -> Bool # (>=) :: SList xs -> SList xs -> Bool # max :: SList xs -> SList xs -> SList xs # min :: SList xs -> SList xs -> SList xs #
Show (SList xs)
Instance details Defined in Data.SOP.Sing Methods showsPrec :: Int -> SList xs -> ShowS # show :: SList xs -> String # showList :: [SList xs] -> ShowS #

type SListI = All (Top :: k -> Constraint) #

type SListI2 = All (SListI :: [k] -> Constraint) #

sList :: forall k (xs :: [k]). SListI xs => SList xs #

para_SList :: forall k (xs :: [k]) r. SListI xs => r ('[] :: [k]) -> (forall (y :: k) (ys :: [k]). SListI ys => r ys -> r (y ': ys)) -> r xs #

case_SList :: forall k (xs :: [k]) r. SListI xs => r ('[] :: [k]) -> (forall (y :: k) (ys :: [k]). SListI ys => r (y ': ys)) -> r xs #

Shape of type-level lists

data Shape (a :: [k]) where #

Constructors

ShapeNil :: forall k. Shape ('[] :: [k])
ShapeCons :: forall k (xs :: [k]) (x :: k). SListI xs => Shape xs -> Shape (x ': xs)

Instances

Instances details

Eq (Shape xs)
Instance details Defined in Data.SOP.Sing Methods (==) :: Shape xs -> Shape xs -> Bool # (/=) :: Shape xs -> Shape xs -> Bool #
Ord (Shape xs)
Instance details Defined in Data.SOP.Sing Methods compare :: Shape xs -> Shape xs -> Ordering # (<) :: Shape xs -> Shape xs -> Bool # (<=) :: Shape xs -> Shape xs -> Bool # (>) :: Shape xs -> Shape xs -> Bool # (>=) :: Shape xs -> Shape xs -> Bool # max :: Shape xs -> Shape xs -> Shape xs # min :: Shape xs -> Shape xs -> Shape xs #
Show (Shape xs)
Instance details Defined in Data.SOP.Sing Methods showsPrec :: Int -> Shape xs -> ShowS # show :: Shape xs -> String # showList :: [Shape xs] -> ShowS #

shape :: forall k (xs :: [k]). SListI xs => Shape xs #

lengthSList :: forall k (xs :: [k]) proxy. SListI xs => proxy xs -> Int #

Re-exports

data Proxy (t :: k) #

Proxy is a type that holds no data, but has a phantom parameter of arbitrary type (or even kind). Its use is to provide type information, even though there is no value available of that type (or it may be too costly to create one).

Historically, Proxy :: Proxy a is a safer alternative to the undefined :: a idiom.

>>> Proxy :: Proxy (Void, Int -> Int)
Proxy

Proxy can even hold types of higher kinds,

>>> Proxy :: Proxy Either
Proxy

>>> Proxy :: Proxy Functor
Proxy

>>> Proxy :: Proxy complicatedStructure
Proxy

Constructors

Proxy

Instances

Instances details

Generic1 (Proxy :: k -> Type)	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Associated Types type Rep1 Proxy :: k -> Type # Methods from1 :: forall (a :: k0). Proxy a -> Rep1 Proxy a # to1 :: forall (a :: k0). Rep1 Proxy a -> Proxy a #
Monad (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods (>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b # (>>) :: Proxy a -> Proxy b -> Proxy b # return :: a -> Proxy a #
Functor (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods fmap :: (a -> b) -> Proxy a -> Proxy b # (<$) :: a -> Proxy b -> Proxy a #
Applicative (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods pure :: a -> Proxy a # (<>) :: Proxy (a -> b) -> Proxy a -> Proxy b # liftA2 :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c # (>) :: Proxy a -> Proxy b -> Proxy b # (<*) :: Proxy a -> Proxy b -> Proxy a #
Foldable (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Proxy m -> m # foldMap :: Monoid m => (a -> m) -> Proxy a -> m # foldMap' :: Monoid m => (a -> m) -> Proxy a -> m # foldr :: (a -> b -> b) -> b -> Proxy a -> b # foldr' :: (a -> b -> b) -> b -> Proxy a -> b # foldl :: (b -> a -> b) -> b -> Proxy a -> b # foldl' :: (b -> a -> b) -> b -> Proxy a -> b # foldr1 :: (a -> a -> a) -> Proxy a -> a # foldl1 :: (a -> a -> a) -> Proxy a -> a # toList :: Proxy a -> [a] # null :: Proxy a -> Bool # length :: Proxy a -> Int # elem :: Eq a => a -> Proxy a -> Bool # maximum :: Ord a => Proxy a -> a # minimum :: Ord a => Proxy a -> a # sum :: Num a => Proxy a -> a # product :: Num a => Proxy a -> a #
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) # sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a) # mapM :: Monad m => (a -> m b) -> Proxy a -> m (Proxy b) # sequence :: Monad m => Proxy (m a) -> m (Proxy a) #
Alternative (Proxy :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods empty :: Proxy a # (<\|>) :: Proxy a -> Proxy a -> Proxy a # some :: Proxy a -> Proxy [a] # many :: Proxy a -> Proxy [a] #
MonadPlus (Proxy :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods mzero :: Proxy a # mplus :: Proxy a -> Proxy a -> Proxy a #
Bounded (Proxy t)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods minBound :: Proxy t # maxBound :: Proxy t #
Enum (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods succ :: Proxy s -> Proxy s # pred :: Proxy s -> Proxy s # toEnum :: Int -> Proxy s # fromEnum :: Proxy s -> Int # enumFrom :: Proxy s -> [Proxy s] # enumFromThen :: Proxy s -> Proxy s -> [Proxy s] # enumFromTo :: Proxy s -> Proxy s -> [Proxy s] # enumFromThenTo :: Proxy s -> Proxy s -> Proxy s -> [Proxy s] #
Eq (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods (==) :: Proxy s -> Proxy s -> Bool # (/=) :: Proxy s -> Proxy s -> Bool #
Data t => Data (Proxy t)	Since: base-4.7.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Proxy t -> c (Proxy t) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Proxy t) # toConstr :: Proxy t -> Constr # dataTypeOf :: Proxy t -> DataType # dataCast1 :: Typeable t0 => (forall d. Data d => c (t0 d)) -> Maybe (c (Proxy t)) # dataCast2 :: Typeable t0 => (forall d e. (Data d, Data e) => c (t0 d e)) -> Maybe (c (Proxy t)) # gmapT :: (forall b. Data b => b -> b) -> Proxy t -> Proxy t # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Proxy t -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Proxy t -> r # gmapQ :: (forall d. Data d => d -> u) -> Proxy t -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Proxy t -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) #
Ord (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods compare :: Proxy s -> Proxy s -> Ordering # (<) :: Proxy s -> Proxy s -> Bool # (<=) :: Proxy s -> Proxy s -> Bool # (>) :: Proxy s -> Proxy s -> Bool # (>=) :: Proxy s -> Proxy s -> Bool # max :: Proxy s -> Proxy s -> Proxy s # min :: Proxy s -> Proxy s -> Proxy s #
Read (Proxy t)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods readsPrec :: Int -> ReadS (Proxy t) # readList :: ReadS [Proxy t] # readPrec :: ReadPrec (Proxy t) # readListPrec :: ReadPrec [Proxy t] #
Show (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods showsPrec :: Int -> Proxy s -> ShowS # show :: Proxy s -> String # showList :: [Proxy s] -> ShowS #
Ix (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods range :: (Proxy s, Proxy s) -> [Proxy s] # index :: (Proxy s, Proxy s) -> Proxy s -> Int # unsafeIndex :: (Proxy s, Proxy s) -> Proxy s -> Int # inRange :: (Proxy s, Proxy s) -> Proxy s -> Bool # rangeSize :: (Proxy s, Proxy s) -> Int # unsafeRangeSize :: (Proxy s, Proxy s) -> Int #
Generic (Proxy t)	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Associated Types type Rep (Proxy t) :: Type -> Type # Methods from :: Proxy t -> Rep (Proxy t) x # to :: Rep (Proxy t) x -> Proxy t #
Semigroup (Proxy s)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods (<>) :: Proxy s -> Proxy s -> Proxy s # sconcat :: NonEmpty (Proxy s) -> Proxy s # stimes :: Integral b => b -> Proxy s -> Proxy s #
Monoid (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods mempty :: Proxy s # mappend :: Proxy s -> Proxy s -> Proxy s # mconcat :: [Proxy s] -> Proxy s #
HasDatatypeInfo (Proxy t) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type DatatypeInfoOf (Proxy t) :: DatatypeInfo Source # Methods datatypeInfo :: proxy (Proxy t) -> DatatypeInfo (Code (Proxy t)) Source #
Generic (Proxy t) Source #
Instance details Defined in Generics.SOP.Instances Associated Types type Code (Proxy t) :: [[Type]] Source # Methods from :: Proxy t -> Rep (Proxy t) Source # to :: Rep (Proxy t) -> Proxy t Source #
type Rep1 (Proxy :: k -> Type)
Instance details Defined in GHC.Generics type Rep1 (Proxy :: k -> Type) = D1 ('MetaData "Proxy" "Data.Proxy" "base" 'False) (C1 ('MetaCons "Proxy" 'PrefixI 'False) (U1 :: k -> Type))
type Rep (Proxy t)
Instance details Defined in GHC.Generics type Rep (Proxy t) = D1 ('MetaData "Proxy" "Data.Proxy" "base" 'False) (C1 ('MetaCons "Proxy" 'PrefixI 'False) (U1 :: Type -> Type))
type DatatypeInfoOf (Proxy t) Source #
Instance details Defined in Generics.SOP.Instances type DatatypeInfoOf (Proxy t) = 'ADT "Data.Proxy" "Proxy" '['Constructor "Proxy"] '['[] :: [StrictnessInfo]]
type Code (Proxy t) Source #
Instance details Defined in Generics.SOP.Instances type Code (Proxy t) = '['[] :: [Type]]

Generic programming with sums of products

Example

Instantiating a datatype for use with SOP generics

Defining a generic function

Defining a generic function using combinators

Using a generic function

More examples

Paper

Codes and interpretations

Instances

n-ary datatypes

Instances

Instances

Instances

Instances

Metadata

Instances

Instances

Instances

Instances

Instances

Combinators

Constructing products

Instances

Destructing products

Application

Instances

Instances

Instances

Lifting / mapping

Constructing sums

Instances

Instances

Destructing sums

Instances

Dealing with All c

Comparison

Collapsing

Instances

Instances

Folding and sequencing

Instances

Instances

Expanding sums to products

Instances

Transformation of index lists and coercions

Instances

Partial operations

Utilities

Basic functors

Instances

Instances

Instances

Mapping functions

Mapping constraints

Instances

Instances

Instances

Instances

Instances

Other constraints

Instances

Instances

Instances

Instances

Singletons

Instances

Shape of type-level lists

Instances

Re-exports

Instances

Dealing with `All c`