singletons-2.5.1: A framework for generating singleton types

Copyright(C) 2014 Jan Stolarek Richard Eisenberg
LicenseBSD-style (see LICENSE)
MaintainerJan Stolarek (jan.stolarek@p.lodz.pl)
Stabilityexperimental
Portabilitynon-portable
Safe HaskellNone
LanguageHaskell2010

Data.Singletons.Prelude.Enum

Contents

Description

Defines the promoted and singleton version of Bounded, PBounded and SBounded

Synopsis

Documentation

class PBounded (a :: Type) #

Associated Types

type MinBound :: a #

type MaxBound :: a #

Instances
PBounded Bool # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded Ordering # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded () # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded All # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded Any # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (Min a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (Max a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (First a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (Last a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (WrappedMonoid m) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (Identity a) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (Dual a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (Sum a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (Product a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (a, b) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (a, b, c) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (Const a b) # 
Instance details

Defined in Data.Singletons.Prelude.Const

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (a, b, c, d) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (a, b, c, d, e) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (a, b, c, d, e, f) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type MinBound :: a #

type MaxBound :: a #

PBounded (a, b, c, d, e, f, g) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type MinBound :: a #

type MaxBound :: a #

class SBounded a where #

Instances
SBounded Bool # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SBounded Ordering # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SBounded () # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SBounded Bool => SBounded All # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

SBounded Bool => SBounded Any # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

SBounded a => SBounded (Min a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

SBounded a => SBounded (Max a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

SBounded a => SBounded (First a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

SBounded a => SBounded (Last a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

SBounded m => SBounded (WrappedMonoid m) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

SBounded a => SBounded (Identity a) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SBounded a => SBounded (Dual a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

SBounded a => SBounded (Sum a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

SBounded a => SBounded (Product a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

(SBounded a, SBounded b) => SBounded (a, b) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

(SBounded a, SBounded b, SBounded c) => SBounded (a, b, c) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SBounded a => SBounded (Const a b) # 
Instance details

Defined in Data.Singletons.Prelude.Const

(SBounded a, SBounded b, SBounded c, SBounded d) => SBounded (a, b, c, d) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

(SBounded a, SBounded b, SBounded c, SBounded d, SBounded e) => SBounded (a, b, c, d, e) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

(SBounded a, SBounded b, SBounded c, SBounded d, SBounded e, SBounded f) => SBounded (a, b, c, d, e, f) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

(SBounded a, SBounded b, SBounded c, SBounded d, SBounded e, SBounded f, SBounded g) => SBounded (a, b, c, d, e, f, g) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

class PEnum (a :: Type) #

Associated Types

type Succ (arg :: a) :: a #

type Pred (arg :: a) :: a #

type ToEnum (arg :: Nat) :: a #

type FromEnum (arg :: a) :: Nat #

type EnumFromTo (arg :: a) (arg :: a) :: [a] #

type EnumFromThenTo (arg :: a) (arg :: a) (arg :: a) :: [a] #

Instances
PEnum Bool # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type Succ arg :: a #

type Pred arg :: a #

type ToEnum arg :: a #

type FromEnum arg :: Nat #

type EnumFromTo arg arg :: [a] #

type EnumFromThenTo arg arg arg :: [a] #

PEnum Ordering # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type Succ arg :: a #

type Pred arg :: a #

type ToEnum arg :: a #

type FromEnum arg :: Nat #

type EnumFromTo arg arg :: [a] #

type EnumFromThenTo arg arg arg :: [a] #

PEnum Nat # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type Succ arg :: a #

type Pred arg :: a #

type ToEnum arg :: a #

type FromEnum arg :: Nat #

type EnumFromTo arg arg :: [a] #

type EnumFromThenTo arg arg arg :: [a] #

PEnum () # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Associated Types

type Succ arg :: a #

type Pred arg :: a #

type ToEnum arg :: a #

type FromEnum arg :: Nat #

type EnumFromTo arg arg :: [a] #

type EnumFromThenTo arg arg arg :: [a] #

PEnum (Min a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Associated Types

type Succ arg :: a #

type Pred arg :: a #

type ToEnum arg :: a #

type FromEnum arg :: Nat #

type EnumFromTo arg arg :: [a] #

type EnumFromThenTo arg arg arg :: [a] #

PEnum (Max a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Associated Types

type Succ arg :: a #

type Pred arg :: a #

type ToEnum arg :: a #

type FromEnum arg :: Nat #

type EnumFromTo arg arg :: [a] #

type EnumFromThenTo arg arg arg :: [a] #

PEnum (First a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Associated Types

type Succ arg :: a #

type Pred arg :: a #

type ToEnum arg :: a #

type FromEnum arg :: Nat #

type EnumFromTo arg arg :: [a] #

type EnumFromThenTo arg arg arg :: [a] #

PEnum (Last a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Associated Types

type Succ arg :: a #

type Pred arg :: a #

type ToEnum arg :: a #

type FromEnum arg :: Nat #

type EnumFromTo arg arg :: [a] #

type EnumFromThenTo arg arg arg :: [a] #

PEnum (WrappedMonoid a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

Associated Types

type Succ arg :: a #

type Pred arg :: a #

type ToEnum arg :: a #

type FromEnum arg :: Nat #

type EnumFromTo arg arg :: [a] #

type EnumFromThenTo arg arg arg :: [a] #

PEnum (Identity a) # 
Instance details

Defined in Data.Singletons.Prelude.Identity

Associated Types

type Succ arg :: a #

type Pred arg :: a #

type ToEnum arg :: a #

type FromEnum arg :: Nat #

type EnumFromTo arg arg :: [a] #

type EnumFromThenTo arg arg arg :: [a] #

PEnum (Const a b) # 
Instance details

Defined in Data.Singletons.Prelude.Const

Associated Types

type Succ arg :: a #

type Pred arg :: a #

type ToEnum arg :: a #

type FromEnum arg :: Nat #

type EnumFromTo arg arg :: [a] #

type EnumFromThenTo arg arg arg :: [a] #

class SEnum a where #

Minimal complete definition

sToEnum, sFromEnum

Methods

sSucc :: forall (t :: a). Sing t -> Sing (Apply SuccSym0 t :: a) #

sPred :: forall (t :: a). Sing t -> Sing (Apply PredSym0 t :: a) #

sToEnum :: forall (t :: Nat). Sing t -> Sing (Apply ToEnumSym0 t :: a) #

sFromEnum :: forall (t :: a). Sing t -> Sing (Apply FromEnumSym0 t :: Nat) #

sEnumFromTo :: forall (t :: a) (t :: a). Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t :: [a]) #

sEnumFromThenTo :: forall (t :: a) (t :: a) (t :: a). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a]) #

sSucc :: forall (t :: a). (Apply SuccSym0 t :: a) ~ Apply Succ_6989586621679762056Sym0 t => Sing t -> Sing (Apply SuccSym0 t :: a) #

sPred :: forall (t :: a). (Apply PredSym0 t :: a) ~ Apply Pred_6989586621679762065Sym0 t => Sing t -> Sing (Apply PredSym0 t :: a) #

sEnumFromTo :: forall (t :: a) (t :: a). (Apply (Apply EnumFromToSym0 t) t :: [a]) ~ Apply (Apply EnumFromTo_6989586621679762076Sym0 t) t => Sing t -> Sing t -> Sing (Apply (Apply EnumFromToSym0 t) t :: [a]) #

sEnumFromThenTo :: forall (t :: a) (t :: a) (t :: a). (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a]) ~ Apply (Apply (Apply EnumFromThenTo_6989586621679762092Sym0 t) t) t => Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply EnumFromThenToSym0 t) t) t :: [a]) #

Instances
SEnum Bool # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SEnum Ordering # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SEnum Nat # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SEnum () # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SEnum a => SEnum (Min a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

SEnum a => SEnum (Max a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

SEnum a => SEnum (First a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

SEnum a => SEnum (Last a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

SEnum a => SEnum (WrappedMonoid a) # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

SEnum a => SEnum (Identity a) # 
Instance details

Defined in Data.Singletons.Prelude.Identity

SEnum a => SEnum (Const a b) # 
Instance details

Defined in Data.Singletons.Prelude.Const

Defunctionalization symbols

data SuccSym0 :: forall a6989586621679761742. (~>) a6989586621679761742 a6989586621679761742 #

Instances
SEnum a => SingI (SuccSym0 :: TyFun a a -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Methods

sing :: Sing SuccSym0 #

SuppressUnusedWarnings (SuccSym0 :: TyFun a6989586621679761742 a6989586621679761742 -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (SuccSym0 :: TyFun a a -> Type) (arg6989586621679762026 :: a) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (SuccSym0 :: TyFun a a -> Type) (arg6989586621679762026 :: a) = Succ arg6989586621679762026

type SuccSym1 (arg6989586621679762026 :: a6989586621679761742) = Succ arg6989586621679762026 #

data PredSym0 :: forall a6989586621679761742. (~>) a6989586621679761742 a6989586621679761742 #

Instances
SEnum a => SingI (PredSym0 :: TyFun a a -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Methods

sing :: Sing PredSym0 #

SuppressUnusedWarnings (PredSym0 :: TyFun a6989586621679761742 a6989586621679761742 -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (PredSym0 :: TyFun a a -> Type) (arg6989586621679762028 :: a) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (PredSym0 :: TyFun a a -> Type) (arg6989586621679762028 :: a) = Pred arg6989586621679762028

type PredSym1 (arg6989586621679762028 :: a6989586621679761742) = Pred arg6989586621679762028 #

data ToEnumSym0 :: forall a6989586621679761742. (~>) Nat a6989586621679761742 #

Instances
SEnum a => SingI (ToEnumSym0 :: TyFun Nat a -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Methods

sing :: Sing ToEnumSym0 #

SuppressUnusedWarnings (ToEnumSym0 :: TyFun Nat a6989586621679761742 -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (ToEnumSym0 :: TyFun Nat k2 -> Type) (arg6989586621679762030 :: Nat) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (ToEnumSym0 :: TyFun Nat k2 -> Type) (arg6989586621679762030 :: Nat) = (ToEnum arg6989586621679762030 :: k2)

type ToEnumSym1 (arg6989586621679762030 :: Nat) = ToEnum arg6989586621679762030 #

data FromEnumSym0 :: forall a6989586621679761742. (~>) a6989586621679761742 Nat #

Instances
SEnum a => SingI (FromEnumSym0 :: TyFun a Nat -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SuppressUnusedWarnings (FromEnumSym0 :: TyFun a6989586621679761742 Nat -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (FromEnumSym0 :: TyFun a Nat -> Type) (arg6989586621679762032 :: a) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (FromEnumSym0 :: TyFun a Nat -> Type) (arg6989586621679762032 :: a) = FromEnum arg6989586621679762032

type FromEnumSym1 (arg6989586621679762032 :: a6989586621679761742) = FromEnum arg6989586621679762032 #

data EnumFromToSym0 :: forall a6989586621679761742. (~>) a6989586621679761742 ((~>) a6989586621679761742 [a6989586621679761742]) #

Instances
SEnum a => SingI (EnumFromToSym0 :: TyFun a (a ~> [a]) -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SuppressUnusedWarnings (EnumFromToSym0 :: TyFun a6989586621679761742 (a6989586621679761742 ~> [a6989586621679761742]) -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (EnumFromToSym0 :: TyFun a6989586621679761742 (a6989586621679761742 ~> [a6989586621679761742]) -> Type) (arg6989586621679762034 :: a6989586621679761742) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (EnumFromToSym0 :: TyFun a6989586621679761742 (a6989586621679761742 ~> [a6989586621679761742]) -> Type) (arg6989586621679762034 :: a6989586621679761742) = EnumFromToSym1 arg6989586621679762034

data EnumFromToSym1 (arg6989586621679762034 :: a6989586621679761742) :: (~>) a6989586621679761742 [a6989586621679761742] #

Instances
(SEnum a, SingI d) => SingI (EnumFromToSym1 d :: TyFun a [a] -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Methods

sing :: Sing (EnumFromToSym1 d) #

SuppressUnusedWarnings (EnumFromToSym1 arg6989586621679762034 :: TyFun a6989586621679761742 [a6989586621679761742] -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (EnumFromToSym1 arg6989586621679762034 :: TyFun a [a] -> Type) (arg6989586621679762035 :: a) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (EnumFromToSym1 arg6989586621679762034 :: TyFun a [a] -> Type) (arg6989586621679762035 :: a) = EnumFromTo arg6989586621679762034 arg6989586621679762035

type EnumFromToSym2 (arg6989586621679762034 :: a6989586621679761742) (arg6989586621679762035 :: a6989586621679761742) = EnumFromTo arg6989586621679762034 arg6989586621679762035 #

data EnumFromThenToSym0 :: forall a6989586621679761742. (~>) a6989586621679761742 ((~>) a6989586621679761742 ((~>) a6989586621679761742 [a6989586621679761742])) #

Instances
SEnum a => SingI (EnumFromThenToSym0 :: TyFun a (a ~> (a ~> [a])) -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SuppressUnusedWarnings (EnumFromThenToSym0 :: TyFun a6989586621679761742 (a6989586621679761742 ~> (a6989586621679761742 ~> [a6989586621679761742])) -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (EnumFromThenToSym0 :: TyFun a6989586621679761742 (a6989586621679761742 ~> (a6989586621679761742 ~> [a6989586621679761742])) -> Type) (arg6989586621679762038 :: a6989586621679761742) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (EnumFromThenToSym0 :: TyFun a6989586621679761742 (a6989586621679761742 ~> (a6989586621679761742 ~> [a6989586621679761742])) -> Type) (arg6989586621679762038 :: a6989586621679761742) = EnumFromThenToSym1 arg6989586621679762038

data EnumFromThenToSym1 (arg6989586621679762038 :: a6989586621679761742) :: (~>) a6989586621679761742 ((~>) a6989586621679761742 [a6989586621679761742]) #

Instances
(SEnum a, SingI d) => SingI (EnumFromThenToSym1 d :: TyFun a (a ~> [a]) -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

SuppressUnusedWarnings (EnumFromThenToSym1 arg6989586621679762038 :: TyFun a6989586621679761742 (a6989586621679761742 ~> [a6989586621679761742]) -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (EnumFromThenToSym1 arg6989586621679762038 :: TyFun a6989586621679761742 (a6989586621679761742 ~> [a6989586621679761742]) -> Type) (arg6989586621679762039 :: a6989586621679761742) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (EnumFromThenToSym1 arg6989586621679762038 :: TyFun a6989586621679761742 (a6989586621679761742 ~> [a6989586621679761742]) -> Type) (arg6989586621679762039 :: a6989586621679761742) = EnumFromThenToSym2 arg6989586621679762038 arg6989586621679762039

data EnumFromThenToSym2 (arg6989586621679762038 :: a6989586621679761742) (arg6989586621679762039 :: a6989586621679761742) :: (~>) a6989586621679761742 [a6989586621679761742] #

Instances
(SEnum a, SingI d1, SingI d2) => SingI (EnumFromThenToSym2 d1 d2 :: TyFun a [a] -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

Methods

sing :: Sing (EnumFromThenToSym2 d1 d2) #

SuppressUnusedWarnings (EnumFromThenToSym2 arg6989586621679762039 arg6989586621679762038 :: TyFun a6989586621679761742 [a6989586621679761742] -> Type) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (EnumFromThenToSym2 arg6989586621679762039 arg6989586621679762038 :: TyFun a [a] -> Type) (arg6989586621679762040 :: a) # 
Instance details

Defined in Data.Singletons.Prelude.Enum

type Apply (EnumFromThenToSym2 arg6989586621679762039 arg6989586621679762038 :: TyFun a [a] -> Type) (arg6989586621679762040 :: a) = EnumFromThenTo arg6989586621679762039 arg6989586621679762038 arg6989586621679762040

type EnumFromThenToSym3 (arg6989586621679762038 :: a6989586621679761742) (arg6989586621679762039 :: a6989586621679761742) (arg6989586621679762040 :: a6989586621679761742) = EnumFromThenTo arg6989586621679762038 arg6989586621679762039 arg6989586621679762040 #