Data.Parameterized.BoolRepr

Documentation

module Data.Type.Bool

data BoolRepr (b :: Bool) where

A Boolean flag

Constructors

FalseRepr :: BoolRepr False

TrueRepr :: BoolRepr True

Instances

TestEquality BoolRepr

Defined in Data.Parameterized.BoolRepr

Methods

testEquality :: BoolRepr a -> BoolRepr b -> Maybe (a :~: b)

HashableF BoolRepr

Defined in Data.Parameterized.BoolRepr

Methods

hashWithSaltF :: Int -> BoolRepr tp -> Int

hashF :: BoolRepr tp -> Int

ShowF BoolRepr

Defined in Data.Parameterized.BoolRepr

Methods

withShow :: p BoolRepr -> q tp -> (Show (BoolRepr tp) -> a) -> a

showF :: BoolRepr tp -> String

showsPrecF :: Int -> BoolRepr tp -> String -> String

OrdF BoolRepr

Defined in Data.Parameterized.BoolRepr

Methods

compareF :: BoolRepr x -> BoolRepr y -> OrderingF x y

leqF :: BoolRepr x -> BoolRepr y -> Bool

ltF :: BoolRepr x -> BoolRepr y -> Bool

geqF :: BoolRepr x -> BoolRepr y -> Bool

gtF :: BoolRepr x -> BoolRepr y -> Bool

DecidableEq BoolRepr

Defined in Data.Parameterized.BoolRepr

Methods

decEq :: BoolRepr a -> BoolRepr b -> Either (a :~: b) ((a :~: b) -> Void)

IsRepr BoolRepr

Defined in Data.Parameterized.WithRepr

Methods

withRepr :: BoolRepr a -> (KnownRepr BoolRepr a -> r) -> r

KnownRepr BoolRepr False

Defined in Data.Parameterized.BoolRepr

Methods

knownRepr :: BoolRepr False

KnownRepr BoolRepr True

Defined in Data.Parameterized.BoolRepr

Methods

knownRepr :: BoolRepr True

Eq (BoolRepr m)

Defined in Data.Parameterized.BoolRepr

Methods

(==) :: BoolRepr m -> BoolRepr m -> Bool

(/=) :: BoolRepr m -> BoolRepr m -> Bool

Show (BoolRepr m)

Defined in Data.Parameterized.BoolRepr

Methods

showsPrec :: Int -> BoolRepr m -> ShowS

show :: BoolRepr m -> String

showList :: [BoolRepr m] -> ShowS

Hashable (BoolRepr n)

Defined in Data.Parameterized.BoolRepr

Methods

hashWithSalt :: Int -> BoolRepr n -> Int

hash :: BoolRepr n -> Int

PolyEq (BoolRepr m) (BoolRepr n)

Defined in Data.Parameterized.BoolRepr

Methods

polyEqF :: BoolRepr m -> BoolRepr n -> Maybe (BoolRepr m :~: BoolRepr n)

polyEq :: BoolRepr m -> BoolRepr n -> Bool

ifRepr :: BoolRepr a -> BoolRepr b -> BoolRepr c -> BoolRepr (If a b c)

conditional

notRepr :: BoolRepr b -> BoolRepr (Not b)

negation

(%&&) :: BoolRepr a -> BoolRepr b -> BoolRepr (a && b) infixr 3

Conjunction

(%||) :: BoolRepr a -> BoolRepr b -> BoolRepr (a || b) infixr 2

Disjunction

type KnownBool = KnownRepr BoolRepr

someBool :: Bool -> Some BoolRepr

Re-exports

class TestEquality (f :: k -> Type) where

This class contains types where you can learn the equality of two types from information contained in terms. Typically, only singleton types should inhabit this class.

Methods

testEquality :: f a -> f b -> Maybe (a :~: b)

Conditionally prove the equality of a and b.

Instances

TestEquality BoolRepr

Defined in Data.Parameterized.BoolRepr

Methods

testEquality :: BoolRepr a -> BoolRepr b -> Maybe (a :~: b)

TestEquality NatRepr

Defined in Data.Parameterized.NatRepr.Internal

Methods

testEquality :: NatRepr a -> NatRepr b -> Maybe (a :~: b)

TestEquality SymbolRepr

Defined in Data.Parameterized.SymbolRepr

Methods

testEquality :: SymbolRepr a -> SymbolRepr b -> Maybe (a :~: b)

TestEquality PeanoRepr

Defined in Data.Parameterized.Peano

Methods

testEquality :: PeanoRepr a -> PeanoRepr b -> Maybe (a :~: b)

TestEquality (Nonce :: k -> Type)

Defined in Data.Parameterized.Nonce.Unsafe

Methods

testEquality :: Nonce a -> Nonce b -> Maybe (a :~: b)

TestEquality (TypeRep :: k -> Type)

Defined in Data.Typeable.Internal

Methods

testEquality :: TypeRep a -> TypeRep b -> Maybe (a :~: b)

TestEquality (Nonce s :: k -> Type)

Defined in Data.Parameterized.Nonce

Methods

testEquality :: Nonce s a -> Nonce s b -> Maybe (a :~: b)

TestEquality ((:~:) a :: k -> Type)

Since: base-4.7.0.0

Defined in Data.Type.Equality

Methods

testEquality :: (a :~: a0) -> (a :~: b) -> Maybe (a0 :~: b)

TestEquality (Index l :: k -> Type)

Defined in Data.Parameterized.List

Methods

testEquality :: Index l a -> Index l b -> Maybe (a :~: b)

TestEquality (Index ctx :: k -> Type)

Defined in Data.Parameterized.Context.Unsafe

Methods

testEquality :: Index ctx a -> Index ctx b -> Maybe (a :~: b)

TestEquality ((:~~:) a :: k -> Type)

Since: base-4.10.0.0

Defined in Data.Type.Equality

Methods

testEquality :: (a :~~: a0) -> (a :~~: b) -> Maybe (a0 :~: b)

TestEquality f => TestEquality (List f :: [k] -> Type)

Defined in Data.Parameterized.List

Methods

testEquality :: List f a -> List f b -> Maybe (a :~: b)

TestEquality f => TestEquality (Assignment f :: Ctx k -> Type)

Defined in Data.Parameterized.Context.Unsafe

Methods

testEquality :: Assignment f a -> Assignment f b -> Maybe (a :~: b)

(TestEquality f, TestEquality g) => TestEquality (PairRepr f g :: (k1, k2) -> Type)

Defined in Data.Parameterized.DataKind

Methods

testEquality :: PairRepr f g a -> PairRepr f g b -> Maybe (a :~: b)

data (a :: k) :~: (b :: k) :: forall k. k -> k -> Type where infix 4

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

Since: base-4.7.0.0

Constructors

Refl :: forall k (a :: k) (b :: k). a :~: a

Instances

Category ((:~:) :: k -> k -> Type)

Since: base-4.7.0.0

Defined in Control.Category

Methods

id :: a :~: a

(.) :: (b :~: c) -> (a :~: b) -> a :~: c

TestEquality ((:~:) a :: k -> Type)

Since: base-4.7.0.0

Defined in Data.Type.Equality

Methods

testEquality :: (a :~: a0) -> (a :~: b) -> Maybe (a0 :~: b)

NFData2 ((:~:) :: Type -> Type -> Type)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a :~: b) -> ()

NFData1 ((:~:) a)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> (a :~: a0) -> ()

a ~ b => Bounded (a :~: b)

Since: base-4.7.0.0

Defined in Data.Type.Equality

Methods

minBound :: a :~: b

maxBound :: a :~: b

a ~ b => Enum (a :~: b)

Since: base-4.7.0.0

Defined in Data.Type.Equality

Methods

succ :: (a :~: b) -> a :~: b

pred :: (a :~: b) -> a :~: b

toEnum :: Int -> a :~: b

fromEnum :: (a :~: b) -> Int

enumFrom :: (a :~: b) -> [a :~: b]

enumFromThen :: (a :~: b) -> (a :~: b) -> [a :~: b]

enumFromTo :: (a :~: b) -> (a :~: b) -> [a :~: b]

enumFromThenTo :: (a :~: b) -> (a :~: b) -> (a :~: b) -> [a :~: b]

Eq (a :~: b)

Since: base-4.7.0.0

Defined in Data.Type.Equality

Methods

(==) :: (a :~: b) -> (a :~: b) -> Bool

(/=) :: (a :~: b) -> (a :~: b) -> Bool

(a ~ b, Data a) => Data (a :~: b)

Since: base-4.7.0.0

Defined in Data.Data

Methods

gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> (a :~: b) -> c (a :~: b)

gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (a :~: b)

toConstr :: (a :~: b) -> Constr

dataTypeOf :: (a :~: b) -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (a :~: b))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (a :~: b))

gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a :~: b) -> a :~: b

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r

gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r

gmapQ :: (forall d. Data d => d -> u) -> (a :~: b) -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> (a :~: b) -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b)

Ord (a :~: b)

Since: base-4.7.0.0

Defined in Data.Type.Equality

Methods

compare :: (a :~: b) -> (a :~: b) -> Ordering

(<) :: (a :~: b) -> (a :~: b) -> Bool

(<=) :: (a :~: b) -> (a :~: b) -> Bool

(>) :: (a :~: b) -> (a :~: b) -> Bool

(>=) :: (a :~: b) -> (a :~: b) -> Bool

max :: (a :~: b) -> (a :~: b) -> a :~: b

min :: (a :~: b) -> (a :~: b) -> a :~: b

a ~ b => Read (a :~: b)

Since: base-4.7.0.0

Defined in Data.Type.Equality

Methods

readsPrec :: Int -> ReadS (a :~: b)

readList :: ReadS [a :~: b]

readPrec :: ReadPrec (a :~: b)

readListPrec :: ReadPrec [a :~: b]

Show (a :~: b)

Since: base-4.7.0.0

Defined in Data.Type.Equality

Methods

showsPrec :: Int -> (a :~: b) -> ShowS

show :: (a :~: b) -> String

showList :: [a :~: b] -> ShowS

NFData (a :~: b)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

rnf :: (a :~: b) -> ()

HasDict (a ~ b) (a :~: b)

Defined in Data.Constraint

Methods

evidence :: (a :~: b) -> Dict (a ~ b)

data Some (f :: k -> *)

Instances

TraversableF (Some :: (k -> Type) -> Type)

Defined in Data.Parameterized.Some

Methods

traverseF :: Applicative m => (forall (s :: k0). e s -> m (f s)) -> Some e -> m (Some f)

FoldableF (Some :: (k -> Type) -> Type)

Defined in Data.Parameterized.Some

Methods

foldMapF :: Monoid m => (forall (s :: k0). e s -> m) -> Some e -> m

foldrF :: (forall (s :: k0). e s -> b -> b) -> b -> Some e -> b

foldlF :: (forall (s :: k0). b -> e s -> b) -> b -> Some e -> b

foldrF' :: (forall (s :: k0). e s -> b -> b) -> b -> Some e -> b

foldlF' :: (forall (s :: k0). b -> e s -> b) -> b -> Some e -> b

toListF :: (forall (tp :: k0). f tp -> a) -> Some f -> [a]

FunctorF (Some :: (k -> Type) -> Type)

Defined in Data.Parameterized.Some

Methods

fmapF :: (forall (x :: k0). f x -> g x) -> Some f -> Some g

OrdC (Some :: (k -> Type) -> Type)

Defined in Data.Parameterized.ClassesC

Methods

compareC :: (forall (x :: k0) (y :: k0). f x -> g y -> OrderingF x y) -> Some f -> Some g -> Ordering

TestEqualityC (Some :: (k -> Type) -> Type)

This instance demonstrates where the above class is useful: namely, in types with existential quantification.

Defined in Data.Parameterized.ClassesC

Methods

testEqualityC :: (forall (x :: k0) (y :: k0). f x -> f y -> Maybe (x :~: y)) -> Some f -> Some f -> Bool

TestEquality f => Eq (Some f)

Defined in Data.Parameterized.Some

Methods

(==) :: Some f -> Some f -> Bool

(/=) :: Some f -> Some f -> Bool

OrdF f => Ord (Some f)

Defined in Data.Parameterized.Some

Methods

compare :: Some f -> Some f -> Ordering

(<) :: Some f -> Some f -> Bool

(<=) :: Some f -> Some f -> Bool

(>) :: Some f -> Some f -> Bool

(>=) :: Some f -> Some f -> Bool

max :: Some f -> Some f -> Some f

min :: Some f -> Some f -> Some f

ShowF f => Show (Some f)

Defined in Data.Parameterized.Some

Methods

showsPrec :: Int -> Some f -> ShowS

show :: Some f -> String

showList :: [Some f] -> ShowS

HashableF f => Hashable (Some f)

Defined in Data.Parameterized.Some

Methods

hashWithSalt :: Int -> Some f -> Int

hash :: Some f -> Int