Safe Haskell	None
Language	Haskell2010

Topaz.Types

Documentation

data Elem (rs :: [k]) (r :: k) where Source #

Constructors

ElemHere :: Elem (r ': rs) r
ElemThere :: Elem rs r -> Elem (s ': rs) r

data Rec :: (k -> Type) -> [k] -> Type where Source #

Constructors

RecNil :: Rec f '[]
RecCons :: f r -> Rec f rs -> Rec f (r ': rs)

Instances

TestCoercion f => TestCoercion (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods testCoercion :: Rec f a -> Rec f b -> Maybe (Coercion a b) #
TestEquality f => TestEquality (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods testEquality :: Rec f a -> Rec f b -> Maybe (a :~: b) #
MonoidForeach f => MonoidForeach (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods emptyForeach :: Sing a -> Rec f a Source #
BinaryForeach f => BinaryForeach (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods putForeach :: Sing a -> Rec f a -> Put Source # getForeach :: Sing a -> Get (Rec f a) Source #
StorableForeach f => StorableForeach (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods peekForeach :: Sing a -> Ptr (Rec f a) -> IO (Rec f a) Source # pokeForeach :: Sing a -> Ptr (Rec f a) -> Rec f a -> IO () Source # sizeOfForeach :: Proxy (Rec f) -> Sing a -> Int Source #
SemigroupForall f => SemigroupForall (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods appendForall :: Rec f a -> Rec f a -> Rec f a Source #
SemigroupForeach f => SemigroupForeach (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods appendForeach :: Sing a -> Rec f a -> Rec f a -> Rec f a Source #
FromJSONExists f => FromJSONExists (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods parseJSONExists :: Value -> Parser (Exists (Rec f)) Source #
FromJSONForeach f => FromJSONForeach (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods parseJSONForeach :: Sing a -> Value -> Parser (Rec f a) Source #
ToJSONForall f => ToJSONForall (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods toJSONForall :: Rec f a -> Value Source #
HashableForall f => HashableForall (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods hashWithSaltForall :: Int -> Rec f a -> Int Source #
ShowForeach f => ShowForeach (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods showsPrecForeach :: Sing a -> Int -> Rec f a -> ShowS Source #
ShowForall f => ShowForall (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods showsPrecForall :: Int -> Rec f a -> ShowS Source #
OrdForeach f => OrdForeach (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods compareForeach :: Sing a -> Rec f a -> Rec f a -> Ordering Source #
EqForallPoly f => EqForallPoly (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods eqForallPoly :: Rec f a -> Rec f b -> WitnessedEquality a b Source #
OrdForall f => OrdForall (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods compareForall :: Rec f a -> Rec f a -> Ordering Source #
EqForeach f => EqForeach (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods eqForeach :: Sing a -> Rec f a -> Rec f a -> Bool Source #
EqForall f => EqForall (Rec f :: [k] -> Type) Source #
Instance details Defined in Topaz.Types Methods eqForall :: Rec f a -> Rec f a -> Bool Source #
EqForall f => Eq (Rec f as) Source #
Instance details Defined in Topaz.Types Methods (==) :: Rec f as -> Rec f as -> Bool # (/=) :: Rec f as -> Rec f as -> Bool #
OrdForall f => Ord (Rec f as) Source #
Instance details Defined in Topaz.Types Methods compare :: Rec f as -> Rec f as -> Ordering # (<) :: Rec f as -> Rec f as -> Bool # (<=) :: Rec f as -> Rec f as -> Bool # (>) :: Rec f as -> Rec f as -> Bool # (>=) :: Rec f as -> Rec f as -> Bool # max :: Rec f as -> Rec f as -> Rec f as # min :: Rec f as -> Rec f as -> Rec f as #
ShowForall f => Show (Rec f as) Source #
Instance details Defined in Topaz.Types Methods showsPrec :: Int -> Rec f as -> ShowS # show :: Rec f as -> String # showList :: [Rec f as] -> ShowS #
SemigroupForall f => Semigroup (Rec f as) Source #
Instance details Defined in Topaz.Types Methods (<>) :: Rec f as -> Rec f as -> Rec f as # sconcat :: NonEmpty (Rec f as) -> Rec f as # stimes :: Integral b => b -> Rec f as -> Rec f as #
HashableForall f => Hashable (Rec f as) Source #
Instance details Defined in Topaz.Types Methods hashWithSalt :: Int -> Rec f as -> Int # hash :: Rec f as -> Int #
ToJSONForall f => ToJSON (Rec f as) Source #
Instance details Defined in Topaz.Types Methods toJSON :: Rec f as -> Value # toEncoding :: Rec f as -> Encoding # toJSONList :: [Rec f as] -> Value # toEncodingList :: [Rec f as] -> Encoding #
(FromJSONForeach f, Reify as) => FromJSON (Rec f as) Source #
Instance details Defined in Topaz.Types Methods parseJSON :: Value -> Parser (Rec f as) # parseJSONList :: Value -> Parser [Rec f as] #
(StorableForeach f, Reify as) => Storable (Rec f as) Source #
Instance details Defined in Topaz.Types Methods sizeOf :: Rec f as -> Int # alignment :: Rec f as -> Int # peekElemOff :: Ptr (Rec f as) -> Int -> IO (Rec f as) # pokeElemOff :: Ptr (Rec f as) -> Int -> Rec f as -> IO () # peekByteOff :: Ptr b -> Int -> IO (Rec f as) # pokeByteOff :: Ptr b -> Int -> Rec f as -> IO () # peek :: Ptr (Rec f as) -> IO (Rec f as) # poke :: Ptr (Rec f as) -> Rec f as -> IO () #

data NestRec :: (k -> Type) -> Nest k -> Type where Source #

Constructors

NestRec :: Rec f rs -> Rec (NestRec f) ns -> NestRec f (Nest ns rs)

newtype Fix f Source #

Constructors

Fix (f (Fix f))

Instances

Semigroup1 f => Semigroup (Fix f) Source #
Instance details Defined in Topaz.Types Methods (<>) :: Fix f -> Fix f -> Fix f # sconcat :: NonEmpty (Fix f) -> Fix f # stimes :: Integral b => b -> Fix f -> Fix f #
Monoid1 f => Monoid (Fix f) Source #
Instance details Defined in Topaz.Types Methods mempty :: Fix f # mappend :: Fix f -> Fix f -> Fix f # mconcat :: [Fix f] -> Fix f #

newtype HFix h a Source #

Constructors

HFix (h (HFix h) a)

Instances

TestEqualityHetero h => TestEquality (HFix h :: k -> *) Source #
Instance details Defined in Topaz.Types Methods testEquality :: HFix h a -> HFix h b -> Maybe (a :~: b) #
EqHetero h => EqForall (HFix h :: k -> *) Source #
Instance details Defined in Topaz.Types Methods eqForall :: HFix h a -> HFix h a -> Bool Source #
EqHetero h => Eq (HFix h a) Source #
Instance details Defined in Topaz.Types Methods (==) :: HFix h a -> HFix h a -> Bool # (/=) :: HFix h a -> HFix h a -> Bool #

data Nest a Source #

Constructors

Nest [Nest a] [a]

class EqHetero h where Source #

Minimal complete definition

eqHetero

Methods

eqHetero :: (forall x. f x -> f x -> Bool) -> h f a -> h f a -> Bool Source #

class TestEqualityHetero h where Source #

Minimal complete definition

testEqualityHetero

Methods

testEqualityHetero :: (forall x y. f x -> f y -> Maybe (x :~: y)) -> h f a -> h f b -> Maybe (a :~: b) Source #

data Nat Source #

Constructors

Succ Nat
Zero

Instances

type Sing Source #
Instance details Defined in Topaz.Types type Sing = SingNat

data SingNat :: Nat -> Type where Source #

Constructors

SingZero :: SingNat Zero
SingSucc :: SingNat n -> SingNat (Succ n)

data Vector :: Nat -> Type -> Type where Source #

Constructors

VectorNil :: Vector Zero a
VectorCons :: a -> Vector n a -> Vector (Succ n) a

Instances

Eq a => Eq (Vector n a) Source #
Instance details Defined in Topaz.Types Methods (==) :: Vector n a -> Vector n a -> Bool # (/=) :: Vector n a -> Vector n a -> Bool #

type family (as :: [k]) ++ (bs :: [k]) :: [k] where ... infixr 5 Source #

Equations

'[] ++ bs = bs
(a ': as) ++ bs = a ': (as ++ bs)