Copyright | (c) Dennis Gosnell 2018 |
---|---|
License | BSD3 |
Stability | experimental |
Portability | POSIX |
Safe Haskell | None |
Language | Haskell2010 |
This is a small library of dependent types. It provides indexed types like
Fin
, Vec
, and Matrix
.
This is mainly used in Termonad for Termonad.Config.Colour to represent length-indexed colour lists.
This module implements a subset of the functionality from the abandoned type-combinators library. Ideally this module would be split out to a separate package. If you're interested in working on something like this, please see this issue on Github.
Synopsis
- data Peano
- type ZSym0 = Z
- type SSym1 (t6989586621679473184 :: Peano) = S t6989586621679473184
- data SSym0 :: (~>) Peano Peano where
- type family N0 :: Peano where ...
- type N0Sym0 = N0
- type family N1 :: Peano where ...
- type N1Sym0 = N1
- type family N2 :: Peano where ...
- type N2Sym0 = N2
- type family N3 :: Peano where ...
- type N3Sym0 = N3
- type family N4 :: Peano where ...
- type N4Sym0 = N4
- type family N5 :: Peano where ...
- type N5Sym0 = N5
- type family N6 :: Peano where ...
- type N6Sym0 = N6
- type family N7 :: Peano where ...
- type N7Sym0 = N7
- type family N8 :: Peano where ...
- type N8Sym0 = N8
- type family N9 :: Peano where ...
- type N9Sym0 = N9
- type family N10 :: Peano where ...
- type N10Sym0 = N10
- type family SubtractPeano (a :: Peano) (a :: Peano) :: Peano where ...
- data SubtractPeanoSym0 :: (~>) Peano ((~>) Peano Peano) where
- SubtractPeanoSym0KindInference :: forall a6989586621679473186 arg. SameKind (Apply SubtractPeanoSym0 arg) (SubtractPeanoSym1 arg) => SubtractPeanoSym0 a6989586621679473186
- data SubtractPeanoSym1 (a6989586621679473186 :: Peano) :: (~>) Peano Peano where
- SubtractPeanoSym1KindInference :: forall a6989586621679473186 a6989586621679473187 arg. SameKind (Apply (SubtractPeanoSym1 a6989586621679473186) arg) (SubtractPeanoSym2 a6989586621679473186 arg) => SubtractPeanoSym1 a6989586621679473186 a6989586621679473187
- type SubtractPeanoSym2 (a6989586621679473186 :: Peano) (a6989586621679473187 :: Peano) = SubtractPeano a6989586621679473186 a6989586621679473187
- type family AddPeano (a :: Peano) (a :: Peano) :: Peano where ...
- data AddPeanoSym0 :: (~>) Peano ((~>) Peano Peano) where
- AddPeanoSym0KindInference :: forall a6989586621679473193 arg. SameKind (Apply AddPeanoSym0 arg) (AddPeanoSym1 arg) => AddPeanoSym0 a6989586621679473193
- data AddPeanoSym1 (a6989586621679473193 :: Peano) :: (~>) Peano Peano where
- AddPeanoSym1KindInference :: forall a6989586621679473193 a6989586621679473194 arg. SameKind (Apply (AddPeanoSym1 a6989586621679473193) arg) (AddPeanoSym2 a6989586621679473193 arg) => AddPeanoSym1 a6989586621679473193 a6989586621679473194
- type AddPeanoSym2 (a6989586621679473193 :: Peano) (a6989586621679473194 :: Peano) = AddPeano a6989586621679473193 a6989586621679473194
- type family MultPeano (a :: Peano) (a :: Peano) :: Peano where ...
- data MultPeanoSym0 :: (~>) Peano ((~>) Peano Peano) where
- MultPeanoSym0KindInference :: forall a6989586621679473200 arg. SameKind (Apply MultPeanoSym0 arg) (MultPeanoSym1 arg) => MultPeanoSym0 a6989586621679473200
- data MultPeanoSym1 (a6989586621679473200 :: Peano) :: (~>) Peano Peano where
- MultPeanoSym1KindInference :: forall a6989586621679473200 a6989586621679473201 arg. SameKind (Apply (MultPeanoSym1 a6989586621679473200) arg) (MultPeanoSym2 a6989586621679473200 arg) => MultPeanoSym1 a6989586621679473200 a6989586621679473201
- type MultPeanoSym2 (a6989586621679473200 :: Peano) (a6989586621679473201 :: Peano) = MultPeano a6989586621679473200 a6989586621679473201
- type family N24 :: Peano where ...
- type N24Sym0 = N24
- type family Compare_6989586621679474935 (a :: Peano) (a :: Peano) :: Ordering where ...
- type Compare_6989586621679474935Sym2 (a6989586621679474933 :: Peano) (a6989586621679474934 :: Peano) = Compare_6989586621679474935 a6989586621679474933 a6989586621679474934
- data Compare_6989586621679474935Sym1 (a6989586621679474933 :: Peano) :: (~>) Peano Ordering where
- Compare_6989586621679474935Sym1KindInference :: forall a6989586621679474933 a6989586621679474934 arg. SameKind (Apply (Compare_6989586621679474935Sym1 a6989586621679474933) arg) (Compare_6989586621679474935Sym2 a6989586621679474933 arg) => Compare_6989586621679474935Sym1 a6989586621679474933 a6989586621679474934
- data Compare_6989586621679474935Sym0 :: (~>) Peano ((~>) Peano Ordering) where
- Compare_6989586621679474935Sym0KindInference :: forall a6989586621679474933 arg. SameKind (Apply Compare_6989586621679474935Sym0 arg) (Compare_6989586621679474935Sym1 arg) => Compare_6989586621679474935Sym0 a6989586621679474933
- type family ShowsPrec_6989586621679475636 (a :: Nat) (a :: Peano) (a :: Symbol) :: Symbol where ...
- type ShowsPrec_6989586621679475636Sym3 (a6989586621679475633 :: Nat) (a6989586621679475634 :: Peano) (a6989586621679475635 :: Symbol) = ShowsPrec_6989586621679475636 a6989586621679475633 a6989586621679475634 a6989586621679475635
- data ShowsPrec_6989586621679475636Sym2 (a6989586621679475633 :: Nat) (a6989586621679475634 :: Peano) :: (~>) Symbol Symbol where
- ShowsPrec_6989586621679475636Sym2KindInference :: forall a6989586621679475633 a6989586621679475634 a6989586621679475635 arg. SameKind (Apply (ShowsPrec_6989586621679475636Sym2 a6989586621679475633 a6989586621679475634) arg) (ShowsPrec_6989586621679475636Sym3 a6989586621679475633 a6989586621679475634 arg) => ShowsPrec_6989586621679475636Sym2 a6989586621679475633 a6989586621679475634 a6989586621679475635
- data ShowsPrec_6989586621679475636Sym1 (a6989586621679475633 :: Nat) :: (~>) Peano ((~>) Symbol Symbol) where
- ShowsPrec_6989586621679475636Sym1KindInference :: forall a6989586621679475633 a6989586621679475634 arg. SameKind (Apply (ShowsPrec_6989586621679475636Sym1 a6989586621679475633) arg) (ShowsPrec_6989586621679475636Sym2 a6989586621679475633 arg) => ShowsPrec_6989586621679475636Sym1 a6989586621679475633 a6989586621679475634
- data ShowsPrec_6989586621679475636Sym0 :: (~>) Nat ((~>) Peano ((~>) Symbol Symbol)) where
- ShowsPrec_6989586621679475636Sym0KindInference :: forall a6989586621679475633 arg. SameKind (Apply ShowsPrec_6989586621679475636Sym0 arg) (ShowsPrec_6989586621679475636Sym1 arg) => ShowsPrec_6989586621679475636Sym0 a6989586621679475633
- type family TFHelper_6989586621679476173 (a :: Peano) (a :: Peano) :: Peano where ...
- type TFHelper_6989586621679476173Sym2 (a6989586621679476171 :: Peano) (a6989586621679476172 :: Peano) = TFHelper_6989586621679476173 a6989586621679476171 a6989586621679476172
- data TFHelper_6989586621679476173Sym1 (a6989586621679476171 :: Peano) :: (~>) Peano Peano where
- TFHelper_6989586621679476173Sym1KindInference :: forall a6989586621679476171 a6989586621679476172 arg. SameKind (Apply (TFHelper_6989586621679476173Sym1 a6989586621679476171) arg) (TFHelper_6989586621679476173Sym2 a6989586621679476171 arg) => TFHelper_6989586621679476173Sym1 a6989586621679476171 a6989586621679476172
- data TFHelper_6989586621679476173Sym0 :: (~>) Peano ((~>) Peano Peano) where
- TFHelper_6989586621679476173Sym0KindInference :: forall a6989586621679476171 arg. SameKind (Apply TFHelper_6989586621679476173Sym0 arg) (TFHelper_6989586621679476173Sym1 arg) => TFHelper_6989586621679476173Sym0 a6989586621679476171
- type family TFHelper_6989586621679476189 (a :: Peano) (a :: Peano) :: Peano where ...
- type TFHelper_6989586621679476189Sym2 (a6989586621679476187 :: Peano) (a6989586621679476188 :: Peano) = TFHelper_6989586621679476189 a6989586621679476187 a6989586621679476188
- data TFHelper_6989586621679476189Sym1 (a6989586621679476187 :: Peano) :: (~>) Peano Peano where
- TFHelper_6989586621679476189Sym1KindInference :: forall a6989586621679476187 a6989586621679476188 arg. SameKind (Apply (TFHelper_6989586621679476189Sym1 a6989586621679476187) arg) (TFHelper_6989586621679476189Sym2 a6989586621679476187 arg) => TFHelper_6989586621679476189Sym1 a6989586621679476187 a6989586621679476188
- data TFHelper_6989586621679476189Sym0 :: (~>) Peano ((~>) Peano Peano) where
- TFHelper_6989586621679476189Sym0KindInference :: forall a6989586621679476187 arg. SameKind (Apply TFHelper_6989586621679476189Sym0 arg) (TFHelper_6989586621679476189Sym1 arg) => TFHelper_6989586621679476189Sym0 a6989586621679476187
- type family TFHelper_6989586621679476205 (a :: Peano) (a :: Peano) :: Peano where ...
- type TFHelper_6989586621679476205Sym2 (a6989586621679476203 :: Peano) (a6989586621679476204 :: Peano) = TFHelper_6989586621679476205 a6989586621679476203 a6989586621679476204
- data TFHelper_6989586621679476205Sym1 (a6989586621679476203 :: Peano) :: (~>) Peano Peano where
- TFHelper_6989586621679476205Sym1KindInference :: forall a6989586621679476203 a6989586621679476204 arg. SameKind (Apply (TFHelper_6989586621679476205Sym1 a6989586621679476203) arg) (TFHelper_6989586621679476205Sym2 a6989586621679476203 arg) => TFHelper_6989586621679476205Sym1 a6989586621679476203 a6989586621679476204
- data TFHelper_6989586621679476205Sym0 :: (~>) Peano ((~>) Peano Peano) where
- TFHelper_6989586621679476205Sym0KindInference :: forall a6989586621679476203 arg. SameKind (Apply TFHelper_6989586621679476205Sym0 arg) (TFHelper_6989586621679476205Sym1 arg) => TFHelper_6989586621679476205Sym0 a6989586621679476203
- type family Abs_6989586621679476215 (a :: Peano) :: Peano where ...
- type Abs_6989586621679476215Sym1 (a6989586621679476214 :: Peano) = Abs_6989586621679476215 a6989586621679476214
- data Abs_6989586621679476215Sym0 :: (~>) Peano Peano where
- Abs_6989586621679476215Sym0KindInference :: forall a6989586621679476214 arg. SameKind (Apply Abs_6989586621679476215Sym0 arg) (Abs_6989586621679476215Sym1 arg) => Abs_6989586621679476215Sym0 a6989586621679476214
- type family Signum_6989586621679476221 (a :: Peano) :: Peano where ...
- type Signum_6989586621679476221Sym1 (a6989586621679476220 :: Peano) = Signum_6989586621679476221 a6989586621679476220
- data Signum_6989586621679476221Sym0 :: (~>) Peano Peano where
- Signum_6989586621679476221Sym0KindInference :: forall a6989586621679476220 arg. SameKind (Apply Signum_6989586621679476221Sym0 arg) (Signum_6989586621679476221Sym1 arg) => Signum_6989586621679476221Sym0 a6989586621679476220
- type family Let6989586621679476227Scrutinee_6989586621679461448 n where ...
- type Let6989586621679476227Scrutinee_6989586621679461448Sym1 n6989586621679476226 = Let6989586621679476227Scrutinee_6989586621679461448 n6989586621679476226
- data Let6989586621679476227Scrutinee_6989586621679461448Sym0 n6989586621679476226 where
- Let6989586621679476227Scrutinee_6989586621679461448Sym0KindInference :: forall n6989586621679476226 arg. SameKind (Apply Let6989586621679476227Scrutinee_6989586621679461448Sym0 arg) (Let6989586621679476227Scrutinee_6989586621679461448Sym1 arg) => Let6989586621679476227Scrutinee_6989586621679461448Sym0 n6989586621679476226
- type family Let6989586621679476231Scrutinee_6989586621679461450 n where ...
- type Let6989586621679476231Scrutinee_6989586621679461450Sym1 n6989586621679476226 = Let6989586621679476231Scrutinee_6989586621679461450 n6989586621679476226
- data Let6989586621679476231Scrutinee_6989586621679461450Sym0 n6989586621679476226 where
- Let6989586621679476231Scrutinee_6989586621679461450Sym0KindInference :: forall n6989586621679476226 arg. SameKind (Apply Let6989586621679476231Scrutinee_6989586621679461450Sym0 arg) (Let6989586621679476231Scrutinee_6989586621679461450Sym1 arg) => Let6989586621679476231Scrutinee_6989586621679461450Sym0 n6989586621679476226
- type family Case_6989586621679476233 n t where ...
- type family Case_6989586621679476229 n t where ...
- type family FromInteger_6989586621679476238 (a :: Nat) :: Peano where ...
- type FromInteger_6989586621679476238Sym1 (a6989586621679476237 :: Nat) = FromInteger_6989586621679476238 a6989586621679476237
- data FromInteger_6989586621679476238Sym0 :: (~>) Nat Peano where
- FromInteger_6989586621679476238Sym0KindInference :: forall a6989586621679476237 arg. SameKind (Apply FromInteger_6989586621679476238Sym0 arg) (FromInteger_6989586621679476238Sym1 arg) => FromInteger_6989586621679476238Sym0 a6989586621679476237
- type family Equals_6989586621679476241 (a :: Peano) (b :: Peano) :: Bool where ...
- type SPeano = (Sing :: Peano -> Type)
- sN24 :: Sing (N24Sym0 :: Peano)
- sMultPeano :: forall (t :: Peano) (t :: Peano). Sing t -> Sing t -> Sing (Apply (Apply MultPeanoSym0 t) t :: Peano)
- sAddPeano :: forall (t :: Peano) (t :: Peano). Sing t -> Sing t -> Sing (Apply (Apply AddPeanoSym0 t) t :: Peano)
- sSubtractPeano :: forall (t :: Peano) (t :: Peano). Sing t -> Sing t -> Sing (Apply (Apply SubtractPeanoSym0 t) t :: Peano)
- sN10 :: Sing (N10Sym0 :: Peano)
- sN9 :: Sing (N9Sym0 :: Peano)
- sN8 :: Sing (N8Sym0 :: Peano)
- sN7 :: Sing (N7Sym0 :: Peano)
- sN6 :: Sing (N6Sym0 :: Peano)
- sN5 :: Sing (N5Sym0 :: Peano)
- sN4 :: Sing (N4Sym0 :: Peano)
- sN3 :: Sing (N3Sym0 :: Peano)
- sN2 :: Sing (N2Sym0 :: Peano)
- sN1 :: Sing (N1Sym0 :: Peano)
- sN0 :: Sing (N0Sym0 :: Peano)
- n24 :: Peano
- n10 :: Peano
- n9 :: Peano
- n8 :: Peano
- n7 :: Peano
- n6 :: Peano
- n5 :: Peano
- n4 :: Peano
- n3 :: Peano
- n2 :: Peano
- n1 :: Peano
- n0 :: Peano
- multPeano :: Peano -> Peano -> Peano
- subtractPeano :: Peano -> Peano -> Peano
- addPeano :: Peano -> Peano -> Peano
- ltSuccProof :: forall (n :: Peano) (m :: Peano) proxy. (S n < S m) ~ True => proxy n -> proxy m -> (n < m) :~: True
- data Fin :: Peano -> Type where
- toIntFin :: Fin n -> Int
- fin :: forall total n. (n < total) ~ True => Sing total -> Sing n -> Fin total
- fin_ :: forall total n. (SingI total, (n < total) ~ True) => Sing n -> Fin total
- data IFin :: Peano -> Peano -> Type where
- toFinIFin :: IFin n m -> Fin n
- toIntIFin :: IFin n m -> Int
- ifin :: forall total n. (n < total) ~ True => Sing total -> Sing n -> IFin total n
- ifin_ :: forall total n. (SingI total, (n < total) ~ True) => Sing n -> IFin total n
- data HList :: (k -> Type) -> [k] -> Type where
- pattern ConsHList :: (f a :: Type) -> HList f as -> HList f (a ': as)
- data Vec (n :: Peano) :: Type -> Type where
- pattern ConsVec :: (a :: Type) -> Vec n a -> Vec (S n) a
- genVec_ :: SingI n => (Fin n -> a) -> Vec n a
- genVec :: SPeano n -> (Fin n -> a) -> Vec n a
- indexVec :: Fin n -> Vec n a -> a
- singletonVec :: a -> Vec N1 a
- replaceVec :: Sing n -> a -> Vec n a
- imapVec :: forall n a b. (Fin n -> a -> b) -> Vec n a -> Vec n b
- replaceVec_ :: SingI n => a -> Vec n a
- apVec :: (a -> b -> c) -> Vec n a -> Vec n b -> Vec n c
- onHeadVec :: (a -> a) -> Vec (S n) a -> Vec (S n) a
- dropVec :: Sing m -> Vec (m + n) a -> Vec n a
- takeVec :: IFin n m -> Vec n a -> Vec m a
- updateAtVec :: Fin n -> (a -> a) -> Vec n a -> Vec n a
- setAtVec :: Fin n -> a -> Vec n a -> Vec n a
- fromListVec :: Sing n -> [a] -> Maybe (Vec n a)
- fromListVec_ :: SingI n => [a] -> Maybe (Vec n a)
- unsafeFromListVec :: Sing n -> [a] -> Vec n a
- unsafeFromListVec_ :: SingI n => [a] -> Vec n a
- type family MatrixTF (ns :: [Peano]) (a :: Type) :: Type where ...
- newtype Matrix ns a = Matrix {}
- type MatrixTFSym2 (ns :: [Peano]) (t :: Type) = (MatrixTF ns t :: Type)
- data MatrixTFSym1 (ns :: [Peano]) (z :: TyFun Type Type) = SameKind (Apply (MatrixTFSym1 ns) arg) (MatrixTFSym2 ns arg) => MatrixTFSym1KindInference
- data MatrixTFSym0 (l :: TyFun [Peano] (Type ~> Type)) = SameKind (Apply MatrixTFSym0 arg) (MatrixTFSym1 arg) => MatrixTFSym0KindInference
- eqSingMatrix :: forall (peanos :: [Peano]) (a :: Type). Eq a => Sing peanos -> Matrix peanos a -> Matrix peanos a -> Bool
- ordSingMatrix :: forall (peanos :: [Peano]) (a :: Type). Ord a => Sing peanos -> Matrix peanos a -> Matrix peanos a -> Ordering
- compareSingMatrix :: forall (peanos :: [Peano]) (a :: Type) (c :: Type). (a -> a -> c) -> c -> (c -> c -> c) -> Sing peanos -> Matrix peanos a -> Matrix peanos a -> c
- fmapSingMatrix :: forall (peanos :: [Peano]) (a :: Type) (b :: Type). Sing peanos -> (a -> b) -> Matrix peanos a -> Matrix peanos b
- consMatrix :: Matrix ns a -> Matrix (n ': ns) a -> Matrix (S n ': ns) a
- toListMatrix :: forall (peanos :: [Peano]) (a :: Type). Sing peanos -> Matrix peanos a -> [a]
- genMatrix :: forall (ns :: [Peano]) (a :: Type). Sing ns -> (HList Fin ns -> a) -> Matrix ns a
- genMatrix_ :: SingI ns => (HList Fin ns -> a) -> Matrix ns a
- indexMatrix :: HList Fin ns -> Matrix ns a -> a
- imapMatrix :: forall (ns :: [Peano]) a b. Sing ns -> (HList Fin ns -> a -> b) -> Matrix ns a -> Matrix ns b
- imapMatrix_ :: SingI ns => (HList Fin ns -> a -> b) -> Matrix ns a -> Matrix ns b
- onMatrixTF :: (MatrixTF ns a -> MatrixTF ms b) -> Matrix ns a -> Matrix ms b
- onMatrix :: (Matrix ns a -> Matrix ms b) -> MatrixTF ns a -> MatrixTF ms b
- updateAtMatrix :: HList Fin ns -> (a -> a) -> Matrix ns a -> Matrix ns a
- setAtMatrix :: HList Fin ns -> a -> Matrix ns a -> Matrix ns a
Documentation
Instances
data SSym0 :: (~>) Peano Peano where Source #
SSym0KindInference :: forall t6989586621679473184 arg. SameKind (Apply SSym0 arg) (SSym1 arg) => SSym0 t6989586621679473184 |
Instances
SuppressUnusedWarnings SSym0 Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
SingI SSym0 Source # | |
Defined in Termonad.Config.Vec | |
type Apply SSym0 (t6989586621679473184 :: Peano) Source # | |
Defined in Termonad.Config.Vec |
type family SubtractPeano (a :: Peano) (a :: Peano) :: Peano where ... Source #
SubtractPeano Z _ = ZSym0 | |
SubtractPeano a Z = a | |
SubtractPeano (S a) (S b) = Apply (Apply SubtractPeanoSym0 a) b |
data SubtractPeanoSym0 :: (~>) Peano ((~>) Peano Peano) where Source #
SubtractPeanoSym0KindInference :: forall a6989586621679473186 arg. SameKind (Apply SubtractPeanoSym0 arg) (SubtractPeanoSym1 arg) => SubtractPeanoSym0 a6989586621679473186 |
Instances
SuppressUnusedWarnings SubtractPeanoSym0 Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
SingI SubtractPeanoSym0 Source # | |
Defined in Termonad.Config.Vec | |
type Apply SubtractPeanoSym0 (a6989586621679473186 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply SubtractPeanoSym0 (a6989586621679473186 :: Peano) = SubtractPeanoSym1 a6989586621679473186 |
data SubtractPeanoSym1 (a6989586621679473186 :: Peano) :: (~>) Peano Peano where Source #
SubtractPeanoSym1KindInference :: forall a6989586621679473186 a6989586621679473187 arg. SameKind (Apply (SubtractPeanoSym1 a6989586621679473186) arg) (SubtractPeanoSym2 a6989586621679473186 arg) => SubtractPeanoSym1 a6989586621679473186 a6989586621679473187 |
Instances
SuppressUnusedWarnings (SubtractPeanoSym1 a6989586621679473186 :: TyFun Peano Peano -> Type) Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
SingI d => SingI (SubtractPeanoSym1 d :: TyFun Peano Peano -> Type) Source # | |
Defined in Termonad.Config.Vec sing :: Sing (SubtractPeanoSym1 d) # | |
type Apply (SubtractPeanoSym1 a6989586621679473186 :: TyFun Peano Peano -> Type) (a6989586621679473187 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply (SubtractPeanoSym1 a6989586621679473186 :: TyFun Peano Peano -> Type) (a6989586621679473187 :: Peano) = SubtractPeano a6989586621679473186 a6989586621679473187 |
type SubtractPeanoSym2 (a6989586621679473186 :: Peano) (a6989586621679473187 :: Peano) = SubtractPeano a6989586621679473186 a6989586621679473187 Source #
data AddPeanoSym0 :: (~>) Peano ((~>) Peano Peano) where Source #
AddPeanoSym0KindInference :: forall a6989586621679473193 arg. SameKind (Apply AddPeanoSym0 arg) (AddPeanoSym1 arg) => AddPeanoSym0 a6989586621679473193 |
Instances
SuppressUnusedWarnings AddPeanoSym0 Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
SingI AddPeanoSym0 Source # | |
Defined in Termonad.Config.Vec sing :: Sing AddPeanoSym0 # | |
type Apply AddPeanoSym0 (a6989586621679473193 :: Peano) Source # | |
Defined in Termonad.Config.Vec |
data AddPeanoSym1 (a6989586621679473193 :: Peano) :: (~>) Peano Peano where Source #
AddPeanoSym1KindInference :: forall a6989586621679473193 a6989586621679473194 arg. SameKind (Apply (AddPeanoSym1 a6989586621679473193) arg) (AddPeanoSym2 a6989586621679473193 arg) => AddPeanoSym1 a6989586621679473193 a6989586621679473194 |
Instances
SuppressUnusedWarnings (AddPeanoSym1 a6989586621679473193 :: TyFun Peano Peano -> Type) Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
SingI d => SingI (AddPeanoSym1 d :: TyFun Peano Peano -> Type) Source # | |
Defined in Termonad.Config.Vec sing :: Sing (AddPeanoSym1 d) # | |
type Apply (AddPeanoSym1 a6989586621679473193 :: TyFun Peano Peano -> Type) (a6989586621679473194 :: Peano) Source # | |
Defined in Termonad.Config.Vec |
type AddPeanoSym2 (a6989586621679473193 :: Peano) (a6989586621679473194 :: Peano) = AddPeano a6989586621679473193 a6989586621679473194 Source #
data MultPeanoSym0 :: (~>) Peano ((~>) Peano Peano) where Source #
MultPeanoSym0KindInference :: forall a6989586621679473200 arg. SameKind (Apply MultPeanoSym0 arg) (MultPeanoSym1 arg) => MultPeanoSym0 a6989586621679473200 |
Instances
SuppressUnusedWarnings MultPeanoSym0 Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
SingI MultPeanoSym0 Source # | |
Defined in Termonad.Config.Vec sing :: Sing MultPeanoSym0 # | |
type Apply MultPeanoSym0 (a6989586621679473200 :: Peano) Source # | |
Defined in Termonad.Config.Vec |
data MultPeanoSym1 (a6989586621679473200 :: Peano) :: (~>) Peano Peano where Source #
MultPeanoSym1KindInference :: forall a6989586621679473200 a6989586621679473201 arg. SameKind (Apply (MultPeanoSym1 a6989586621679473200) arg) (MultPeanoSym2 a6989586621679473200 arg) => MultPeanoSym1 a6989586621679473200 a6989586621679473201 |
Instances
SuppressUnusedWarnings (MultPeanoSym1 a6989586621679473200 :: TyFun Peano Peano -> Type) Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
SingI d => SingI (MultPeanoSym1 d :: TyFun Peano Peano -> Type) Source # | |
Defined in Termonad.Config.Vec sing :: Sing (MultPeanoSym1 d) # | |
type Apply (MultPeanoSym1 a6989586621679473200 :: TyFun Peano Peano -> Type) (a6989586621679473201 :: Peano) Source # | |
Defined in Termonad.Config.Vec |
type MultPeanoSym2 (a6989586621679473200 :: Peano) (a6989586621679473201 :: Peano) = MultPeano a6989586621679473200 a6989586621679473201 Source #
type family Compare_6989586621679474935 (a :: Peano) (a :: Peano) :: Ordering where ... Source #
Compare_6989586621679474935 Z Z = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) '[] | |
Compare_6989586621679474935 (S a_6989586621679473176) (S b_6989586621679473178) = Apply (Apply (Apply FoldlSym0 ThenCmpSym0) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_6989586621679473176) b_6989586621679473178)) '[]) | |
Compare_6989586621679474935 Z (S _) = LTSym0 | |
Compare_6989586621679474935 (S _) Z = GTSym0 |
type Compare_6989586621679474935Sym2 (a6989586621679474933 :: Peano) (a6989586621679474934 :: Peano) = Compare_6989586621679474935 a6989586621679474933 a6989586621679474934 Source #
data Compare_6989586621679474935Sym1 (a6989586621679474933 :: Peano) :: (~>) Peano Ordering where Source #
Compare_6989586621679474935Sym1KindInference :: forall a6989586621679474933 a6989586621679474934 arg. SameKind (Apply (Compare_6989586621679474935Sym1 a6989586621679474933) arg) (Compare_6989586621679474935Sym2 a6989586621679474933 arg) => Compare_6989586621679474935Sym1 a6989586621679474933 a6989586621679474934 |
Instances
SuppressUnusedWarnings (Compare_6989586621679474935Sym1 a6989586621679474933 :: TyFun Peano Ordering -> Type) Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply (Compare_6989586621679474935Sym1 a6989586621679474933 :: TyFun Peano Ordering -> Type) (a6989586621679474934 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply (Compare_6989586621679474935Sym1 a6989586621679474933 :: TyFun Peano Ordering -> Type) (a6989586621679474934 :: Peano) = Compare_6989586621679474935 a6989586621679474933 a6989586621679474934 |
data Compare_6989586621679474935Sym0 :: (~>) Peano ((~>) Peano Ordering) where Source #
Compare_6989586621679474935Sym0KindInference :: forall a6989586621679474933 arg. SameKind (Apply Compare_6989586621679474935Sym0 arg) (Compare_6989586621679474935Sym1 arg) => Compare_6989586621679474935Sym0 a6989586621679474933 |
Instances
SuppressUnusedWarnings Compare_6989586621679474935Sym0 Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply Compare_6989586621679474935Sym0 (a6989586621679474933 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply Compare_6989586621679474935Sym0 (a6989586621679474933 :: Peano) = Compare_6989586621679474935Sym1 a6989586621679474933 |
type family ShowsPrec_6989586621679475636 (a :: Nat) (a :: Peano) (a :: Symbol) :: Symbol where ... Source #
ShowsPrec_6989586621679475636 _ Z a_6989586621679475625 = Apply (Apply ShowStringSym0 (FromString "Z")) a_6989586621679475625 | |
ShowsPrec_6989586621679475636 p_6989586621679473180 (S arg_6989586621679473182) a_6989586621679475627 = Apply (Apply (Apply ShowParenSym0 (Apply (Apply (>@#@$) p_6989586621679473180) (FromInteger 10))) (Apply (Apply (.@#@$) (Apply ShowStringSym0 (FromString "S "))) (Apply (Apply ShowsPrecSym0 (FromInteger 11)) arg_6989586621679473182))) a_6989586621679475627 |
type ShowsPrec_6989586621679475636Sym3 (a6989586621679475633 :: Nat) (a6989586621679475634 :: Peano) (a6989586621679475635 :: Symbol) = ShowsPrec_6989586621679475636 a6989586621679475633 a6989586621679475634 a6989586621679475635 Source #
data ShowsPrec_6989586621679475636Sym2 (a6989586621679475633 :: Nat) (a6989586621679475634 :: Peano) :: (~>) Symbol Symbol where Source #
ShowsPrec_6989586621679475636Sym2KindInference :: forall a6989586621679475633 a6989586621679475634 a6989586621679475635 arg. SameKind (Apply (ShowsPrec_6989586621679475636Sym2 a6989586621679475633 a6989586621679475634) arg) (ShowsPrec_6989586621679475636Sym3 a6989586621679475633 a6989586621679475634 arg) => ShowsPrec_6989586621679475636Sym2 a6989586621679475633 a6989586621679475634 a6989586621679475635 |
Instances
SuppressUnusedWarnings (ShowsPrec_6989586621679475636Sym2 a6989586621679475634 a6989586621679475633 :: TyFun Symbol Symbol -> Type) Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply (ShowsPrec_6989586621679475636Sym2 a6989586621679475634 a6989586621679475633 :: TyFun Symbol Symbol -> Type) (a6989586621679475635 :: Symbol) Source # | |
Defined in Termonad.Config.Vec type Apply (ShowsPrec_6989586621679475636Sym2 a6989586621679475634 a6989586621679475633 :: TyFun Symbol Symbol -> Type) (a6989586621679475635 :: Symbol) = ShowsPrec_6989586621679475636 a6989586621679475634 a6989586621679475633 a6989586621679475635 |
data ShowsPrec_6989586621679475636Sym1 (a6989586621679475633 :: Nat) :: (~>) Peano ((~>) Symbol Symbol) where Source #
ShowsPrec_6989586621679475636Sym1KindInference :: forall a6989586621679475633 a6989586621679475634 arg. SameKind (Apply (ShowsPrec_6989586621679475636Sym1 a6989586621679475633) arg) (ShowsPrec_6989586621679475636Sym2 a6989586621679475633 arg) => ShowsPrec_6989586621679475636Sym1 a6989586621679475633 a6989586621679475634 |
Instances
SuppressUnusedWarnings (ShowsPrec_6989586621679475636Sym1 a6989586621679475633 :: TyFun Peano (Symbol ~> Symbol) -> Type) Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply (ShowsPrec_6989586621679475636Sym1 a6989586621679475633 :: TyFun Peano (Symbol ~> Symbol) -> Type) (a6989586621679475634 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply (ShowsPrec_6989586621679475636Sym1 a6989586621679475633 :: TyFun Peano (Symbol ~> Symbol) -> Type) (a6989586621679475634 :: Peano) = ShowsPrec_6989586621679475636Sym2 a6989586621679475633 a6989586621679475634 |
data ShowsPrec_6989586621679475636Sym0 :: (~>) Nat ((~>) Peano ((~>) Symbol Symbol)) where Source #
ShowsPrec_6989586621679475636Sym0KindInference :: forall a6989586621679475633 arg. SameKind (Apply ShowsPrec_6989586621679475636Sym0 arg) (ShowsPrec_6989586621679475636Sym1 arg) => ShowsPrec_6989586621679475636Sym0 a6989586621679475633 |
Instances
SuppressUnusedWarnings ShowsPrec_6989586621679475636Sym0 Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply ShowsPrec_6989586621679475636Sym0 (a6989586621679475633 :: Nat) Source # | |
Defined in Termonad.Config.Vec type Apply ShowsPrec_6989586621679475636Sym0 (a6989586621679475633 :: Nat) = ShowsPrec_6989586621679475636Sym1 a6989586621679475633 |
type family TFHelper_6989586621679476173 (a :: Peano) (a :: Peano) :: Peano where ... Source #
TFHelper_6989586621679476173 a_6989586621679476161 a_6989586621679476163 = Apply (Apply AddPeanoSym0 a_6989586621679476161) a_6989586621679476163 |
type TFHelper_6989586621679476173Sym2 (a6989586621679476171 :: Peano) (a6989586621679476172 :: Peano) = TFHelper_6989586621679476173 a6989586621679476171 a6989586621679476172 Source #
data TFHelper_6989586621679476173Sym1 (a6989586621679476171 :: Peano) :: (~>) Peano Peano where Source #
TFHelper_6989586621679476173Sym1KindInference :: forall a6989586621679476171 a6989586621679476172 arg. SameKind (Apply (TFHelper_6989586621679476173Sym1 a6989586621679476171) arg) (TFHelper_6989586621679476173Sym2 a6989586621679476171 arg) => TFHelper_6989586621679476173Sym1 a6989586621679476171 a6989586621679476172 |
Instances
SuppressUnusedWarnings (TFHelper_6989586621679476173Sym1 a6989586621679476171 :: TyFun Peano Peano -> Type) Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply (TFHelper_6989586621679476173Sym1 a6989586621679476171 :: TyFun Peano Peano -> Type) (a6989586621679476172 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply (TFHelper_6989586621679476173Sym1 a6989586621679476171 :: TyFun Peano Peano -> Type) (a6989586621679476172 :: Peano) = TFHelper_6989586621679476173 a6989586621679476171 a6989586621679476172 |
data TFHelper_6989586621679476173Sym0 :: (~>) Peano ((~>) Peano Peano) where Source #
TFHelper_6989586621679476173Sym0KindInference :: forall a6989586621679476171 arg. SameKind (Apply TFHelper_6989586621679476173Sym0 arg) (TFHelper_6989586621679476173Sym1 arg) => TFHelper_6989586621679476173Sym0 a6989586621679476171 |
Instances
SuppressUnusedWarnings TFHelper_6989586621679476173Sym0 Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply TFHelper_6989586621679476173Sym0 (a6989586621679476171 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply TFHelper_6989586621679476173Sym0 (a6989586621679476171 :: Peano) = TFHelper_6989586621679476173Sym1 a6989586621679476171 |
type family TFHelper_6989586621679476189 (a :: Peano) (a :: Peano) :: Peano where ... Source #
TFHelper_6989586621679476189 a_6989586621679476177 a_6989586621679476179 = Apply (Apply SubtractPeanoSym0 a_6989586621679476177) a_6989586621679476179 |
type TFHelper_6989586621679476189Sym2 (a6989586621679476187 :: Peano) (a6989586621679476188 :: Peano) = TFHelper_6989586621679476189 a6989586621679476187 a6989586621679476188 Source #
data TFHelper_6989586621679476189Sym1 (a6989586621679476187 :: Peano) :: (~>) Peano Peano where Source #
TFHelper_6989586621679476189Sym1KindInference :: forall a6989586621679476187 a6989586621679476188 arg. SameKind (Apply (TFHelper_6989586621679476189Sym1 a6989586621679476187) arg) (TFHelper_6989586621679476189Sym2 a6989586621679476187 arg) => TFHelper_6989586621679476189Sym1 a6989586621679476187 a6989586621679476188 |
Instances
SuppressUnusedWarnings (TFHelper_6989586621679476189Sym1 a6989586621679476187 :: TyFun Peano Peano -> Type) Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply (TFHelper_6989586621679476189Sym1 a6989586621679476187 :: TyFun Peano Peano -> Type) (a6989586621679476188 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply (TFHelper_6989586621679476189Sym1 a6989586621679476187 :: TyFun Peano Peano -> Type) (a6989586621679476188 :: Peano) = TFHelper_6989586621679476189 a6989586621679476187 a6989586621679476188 |
data TFHelper_6989586621679476189Sym0 :: (~>) Peano ((~>) Peano Peano) where Source #
TFHelper_6989586621679476189Sym0KindInference :: forall a6989586621679476187 arg. SameKind (Apply TFHelper_6989586621679476189Sym0 arg) (TFHelper_6989586621679476189Sym1 arg) => TFHelper_6989586621679476189Sym0 a6989586621679476187 |
Instances
SuppressUnusedWarnings TFHelper_6989586621679476189Sym0 Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply TFHelper_6989586621679476189Sym0 (a6989586621679476187 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply TFHelper_6989586621679476189Sym0 (a6989586621679476187 :: Peano) = TFHelper_6989586621679476189Sym1 a6989586621679476187 |
type family TFHelper_6989586621679476205 (a :: Peano) (a :: Peano) :: Peano where ... Source #
TFHelper_6989586621679476205 a_6989586621679476193 a_6989586621679476195 = Apply (Apply MultPeanoSym0 a_6989586621679476193) a_6989586621679476195 |
type TFHelper_6989586621679476205Sym2 (a6989586621679476203 :: Peano) (a6989586621679476204 :: Peano) = TFHelper_6989586621679476205 a6989586621679476203 a6989586621679476204 Source #
data TFHelper_6989586621679476205Sym1 (a6989586621679476203 :: Peano) :: (~>) Peano Peano where Source #
TFHelper_6989586621679476205Sym1KindInference :: forall a6989586621679476203 a6989586621679476204 arg. SameKind (Apply (TFHelper_6989586621679476205Sym1 a6989586621679476203) arg) (TFHelper_6989586621679476205Sym2 a6989586621679476203 arg) => TFHelper_6989586621679476205Sym1 a6989586621679476203 a6989586621679476204 |
Instances
SuppressUnusedWarnings (TFHelper_6989586621679476205Sym1 a6989586621679476203 :: TyFun Peano Peano -> Type) Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply (TFHelper_6989586621679476205Sym1 a6989586621679476203 :: TyFun Peano Peano -> Type) (a6989586621679476204 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply (TFHelper_6989586621679476205Sym1 a6989586621679476203 :: TyFun Peano Peano -> Type) (a6989586621679476204 :: Peano) = TFHelper_6989586621679476205 a6989586621679476203 a6989586621679476204 |
data TFHelper_6989586621679476205Sym0 :: (~>) Peano ((~>) Peano Peano) where Source #
TFHelper_6989586621679476205Sym0KindInference :: forall a6989586621679476203 arg. SameKind (Apply TFHelper_6989586621679476205Sym0 arg) (TFHelper_6989586621679476205Sym1 arg) => TFHelper_6989586621679476205Sym0 a6989586621679476203 |
Instances
SuppressUnusedWarnings TFHelper_6989586621679476205Sym0 Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply TFHelper_6989586621679476205Sym0 (a6989586621679476203 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply TFHelper_6989586621679476205Sym0 (a6989586621679476203 :: Peano) = TFHelper_6989586621679476205Sym1 a6989586621679476203 |
type family Abs_6989586621679476215 (a :: Peano) :: Peano where ... Source #
Abs_6989586621679476215 a_6989586621679476209 = Apply IdSym0 a_6989586621679476209 |
type Abs_6989586621679476215Sym1 (a6989586621679476214 :: Peano) = Abs_6989586621679476215 a6989586621679476214 Source #
data Abs_6989586621679476215Sym0 :: (~>) Peano Peano where Source #
Abs_6989586621679476215Sym0KindInference :: forall a6989586621679476214 arg. SameKind (Apply Abs_6989586621679476215Sym0 arg) (Abs_6989586621679476215Sym1 arg) => Abs_6989586621679476215Sym0 a6989586621679476214 |
Instances
SuppressUnusedWarnings Abs_6989586621679476215Sym0 Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply Abs_6989586621679476215Sym0 (a6989586621679476214 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply Abs_6989586621679476215Sym0 (a6989586621679476214 :: Peano) = Abs_6989586621679476215 a6989586621679476214 |
type family Signum_6989586621679476221 (a :: Peano) :: Peano where ... Source #
type Signum_6989586621679476221Sym1 (a6989586621679476220 :: Peano) = Signum_6989586621679476221 a6989586621679476220 Source #
data Signum_6989586621679476221Sym0 :: (~>) Peano Peano where Source #
Signum_6989586621679476221Sym0KindInference :: forall a6989586621679476220 arg. SameKind (Apply Signum_6989586621679476221Sym0 arg) (Signum_6989586621679476221Sym1 arg) => Signum_6989586621679476221Sym0 a6989586621679476220 |
Instances
SuppressUnusedWarnings Signum_6989586621679476221Sym0 Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply Signum_6989586621679476221Sym0 (a6989586621679476220 :: Peano) Source # | |
Defined in Termonad.Config.Vec type Apply Signum_6989586621679476221Sym0 (a6989586621679476220 :: Peano) = Signum_6989586621679476221 a6989586621679476220 |
type family Let6989586621679476227Scrutinee_6989586621679461448 n where ... Source #
type Let6989586621679476227Scrutinee_6989586621679461448Sym1 n6989586621679476226 = Let6989586621679476227Scrutinee_6989586621679461448 n6989586621679476226 Source #
data Let6989586621679476227Scrutinee_6989586621679461448Sym0 n6989586621679476226 where Source #
Let6989586621679476227Scrutinee_6989586621679461448Sym0KindInference :: forall n6989586621679476226 arg. SameKind (Apply Let6989586621679476227Scrutinee_6989586621679461448Sym0 arg) (Let6989586621679476227Scrutinee_6989586621679461448Sym1 arg) => Let6989586621679476227Scrutinee_6989586621679461448Sym0 n6989586621679476226 |
Instances
SuppressUnusedWarnings (Let6989586621679476227Scrutinee_6989586621679461448Sym0 :: TyFun k1 Bool -> Type) Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply (Let6989586621679476227Scrutinee_6989586621679461448Sym0 :: TyFun k1 Bool -> Type) (n6989586621679476226 :: k1) Source # | |
Defined in Termonad.Config.Vec type Apply (Let6989586621679476227Scrutinee_6989586621679461448Sym0 :: TyFun k1 Bool -> Type) (n6989586621679476226 :: k1) = Let6989586621679476227Scrutinee_6989586621679461448 n6989586621679476226 |
type family Let6989586621679476231Scrutinee_6989586621679461450 n where ... Source #
type Let6989586621679476231Scrutinee_6989586621679461450Sym1 n6989586621679476226 = Let6989586621679476231Scrutinee_6989586621679461450 n6989586621679476226 Source #
data Let6989586621679476231Scrutinee_6989586621679461450Sym0 n6989586621679476226 where Source #
Let6989586621679476231Scrutinee_6989586621679461450Sym0KindInference :: forall n6989586621679476226 arg. SameKind (Apply Let6989586621679476231Scrutinee_6989586621679461450Sym0 arg) (Let6989586621679476231Scrutinee_6989586621679461450Sym1 arg) => Let6989586621679476231Scrutinee_6989586621679461450Sym0 n6989586621679476226 |
Instances
SuppressUnusedWarnings (Let6989586621679476231Scrutinee_6989586621679461450Sym0 :: TyFun k1 Bool -> Type) Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply (Let6989586621679476231Scrutinee_6989586621679461450Sym0 :: TyFun k1 Bool -> Type) (n6989586621679476226 :: k1) Source # | |
Defined in Termonad.Config.Vec type Apply (Let6989586621679476231Scrutinee_6989586621679461450Sym0 :: TyFun k1 Bool -> Type) (n6989586621679476226 :: k1) = Let6989586621679476231Scrutinee_6989586621679461450 n6989586621679476226 |
type family Case_6989586621679476233 n t where ... Source #
Case_6989586621679476233 n True = ZSym0 | |
Case_6989586621679476233 n False = Apply SSym0 (Apply FromIntegerSym0 (Apply (Apply (-@#@$) n) (FromInteger 1))) |
type family Case_6989586621679476229 n t where ... Source #
Case_6989586621679476229 n True = Apply ErrorSym0 (FromString "Num Peano fromInteger: n is negative") | |
Case_6989586621679476229 n False = Case_6989586621679476233 n (Let6989586621679476231Scrutinee_6989586621679461450Sym1 n) |
type family FromInteger_6989586621679476238 (a :: Nat) :: Peano where ... Source #
type FromInteger_6989586621679476238Sym1 (a6989586621679476237 :: Nat) = FromInteger_6989586621679476238 a6989586621679476237 Source #
data FromInteger_6989586621679476238Sym0 :: (~>) Nat Peano where Source #
FromInteger_6989586621679476238Sym0KindInference :: forall a6989586621679476237 arg. SameKind (Apply FromInteger_6989586621679476238Sym0 arg) (FromInteger_6989586621679476238Sym1 arg) => FromInteger_6989586621679476238Sym0 a6989586621679476237 |
Instances
SuppressUnusedWarnings FromInteger_6989586621679476238Sym0 Source # | |
Defined in Termonad.Config.Vec suppressUnusedWarnings :: () # | |
type Apply FromInteger_6989586621679476238Sym0 (a6989586621679476237 :: Nat) Source # | |
Defined in Termonad.Config.Vec type Apply FromInteger_6989586621679476238Sym0 (a6989586621679476237 :: Nat) = FromInteger_6989586621679476238 a6989586621679476237 |
type family Equals_6989586621679476241 (a :: Peano) (b :: Peano) :: Bool where ... Source #
Equals_6989586621679476241 Z Z = TrueSym0 | |
Equals_6989586621679476241 (S a) (S b) = (==) a b | |
Equals_6989586621679476241 (_ :: Peano) (_ :: Peano) = FalseSym0 |
sMultPeano :: forall (t :: Peano) (t :: Peano). Sing t -> Sing t -> Sing (Apply (Apply MultPeanoSym0 t) t :: Peano) Source #
sAddPeano :: forall (t :: Peano) (t :: Peano). Sing t -> Sing t -> Sing (Apply (Apply AddPeanoSym0 t) t :: Peano) Source #
sSubtractPeano :: forall (t :: Peano) (t :: Peano). Sing t -> Sing t -> Sing (Apply (Apply SubtractPeanoSym0 t) t :: Peano) Source #
ltSuccProof :: forall (n :: Peano) (m :: Peano) proxy. (S n < S m) ~ True => proxy n -> proxy m -> (n < m) :~: True Source #
data Fin :: Peano -> Type where Source #
Instances
Eq (Fin n) Source # | |
Ord (Fin n) Source # | |
Show (Fin n) Source # | |
SingKind (Fin n) Source # | |
SingI (FZ :: Fin (S n)) Source # | |
Defined in Termonad.Config.Vec | |
SingI n2 => SingI (FS n2 :: Fin (S n1)) Source # | |
Defined in Termonad.Config.Vec | |
Show (Sing n2) => Show (Sing (FS n2)) Source # | |
Show (Sing (FZ :: Fin (S n))) Source # | |
data Sing (z :: Fin n) Source # | |
type Demote (Fin n) Source # | |
Defined in Termonad.Config.Vec |
data IFin :: Peano -> Peano -> Type where Source #
IFZ :: forall (n :: Peano). IFin (S n) Z | |
IFS :: forall (n :: Peano) (m :: Peano). !(IFin n m) -> IFin (S n) (S m) |
Instances
Eq (IFin x y) Source # | |
Ord (IFin x y) Source # | |
Defined in Termonad.Config.Vec | |
Show (Sing n2) => Show (Sing (IFS n2)) Source # | |
Show (Sing (IFZ :: IFin (S n) Z)) Source # | |
Show (IFin x y) Source # | |
SingKind (IFin n m) Source # | |
SingI (IFZ :: IFin (S n) Z) Source # | |
Defined in Termonad.Config.Vec | |
SingI n2 => SingI (IFS n2 :: IFin (S n1) (S m)) Source # | |
Defined in Termonad.Config.Vec | |
data Sing (z :: IFin n m) Source # | |
type Demote (IFin n m) Source # | |
Defined in Termonad.Config.Vec |
ifin :: forall total n. (n < total) ~ True => Sing total -> Sing n -> IFin total n Source #
Create an IFin
.
>>>
ifin (sing :: Sing N5) (sing :: Sing N2) :: IFin N5 N2
IFS (IFS IFZ)
ifin_ :: forall total n. (SingI total, (n < total) ~ True) => Sing n -> IFin total n Source #
Create an IFin
, but take the total implicitly.
>>>
ifin_ @N5 (sing :: Sing N3) :: IFin N5 N3
IFS (IFS (IFS IFZ))
pattern ConsHList :: (f a :: Type) -> HList f as -> HList f (a ': as) Source #
Data constructor for :<
.
data Vec (n :: Peano) :: Type -> Type where Source #
Instances
SingI n => Monad (Vec n) Source # | |
Functor (Vec n) Source # | |
SingI n => Applicative (Vec n) Source # | |
Foldable (Vec n) Source # | |
Defined in Termonad.Config.Vec fold :: Monoid m => Vec n m -> m # foldMap :: Monoid m => (a -> m) -> Vec n a -> m # foldr :: (a -> b -> b) -> b -> Vec n a -> b # foldr' :: (a -> b -> b) -> b -> Vec n a -> b # foldl :: (b -> a -> b) -> b -> Vec n a -> b # foldl' :: (b -> a -> b) -> b -> Vec n a -> b # foldr1 :: (a -> a -> a) -> Vec n a -> a # foldl1 :: (a -> a -> a) -> Vec n a -> a # elem :: Eq a => a -> Vec n a -> Bool # maximum :: Ord a => Vec n a -> a # minimum :: Ord a => Vec n a -> a # | |
SingI n => Distributive (Vec n) Source # | |
SingI n => Representable (Vec n) Source # | |
Eq a => Eq (Vec n a) Source # | |
Ord a => Ord (Vec n a) Source # | |
Show a => Show (Vec n a) Source # | |
SingI n => MonoPointed (Vec n a) Source # | |
MonoFoldable (Vec n a) Source # | |
Defined in Termonad.Config.Vec ofoldMap :: Monoid m => (Element (Vec n a) -> m) -> Vec n a -> m # ofoldr :: (Element (Vec n a) -> b -> b) -> b -> Vec n a -> b # ofoldl' :: (a0 -> Element (Vec n a) -> a0) -> a0 -> Vec n a -> a0 # otoList :: Vec n a -> [Element (Vec n a)] # oall :: (Element (Vec n a) -> Bool) -> Vec n a -> Bool # oany :: (Element (Vec n a) -> Bool) -> Vec n a -> Bool # olength64 :: Vec n a -> Int64 # ocompareLength :: Integral i => Vec n a -> i -> Ordering # otraverse_ :: Applicative f => (Element (Vec n a) -> f b) -> Vec n a -> f () # ofor_ :: Applicative f => Vec n a -> (Element (Vec n a) -> f b) -> f () # omapM_ :: Applicative m => (Element (Vec n a) -> m ()) -> Vec n a -> m () # oforM_ :: Applicative m => Vec n a -> (Element (Vec n a) -> m ()) -> m () # ofoldlM :: Monad m => (a0 -> Element (Vec n a) -> m a0) -> a0 -> Vec n a -> m a0 # ofoldMap1Ex :: Semigroup m => (Element (Vec n a) -> m) -> Vec n a -> m # ofoldr1Ex :: (Element (Vec n a) -> Element (Vec n a) -> Element (Vec n a)) -> Vec n a -> Element (Vec n a) # ofoldl1Ex' :: (Element (Vec n a) -> Element (Vec n a) -> Element (Vec n a)) -> Vec n a -> Element (Vec n a) # headEx :: Vec n a -> Element (Vec n a) # lastEx :: Vec n a -> Element (Vec n a) # unsafeHead :: Vec n a -> Element (Vec n a) # unsafeLast :: Vec n a -> Element (Vec n a) # maximumByEx :: (Element (Vec n a) -> Element (Vec n a) -> Ordering) -> Vec n a -> Element (Vec n a) # minimumByEx :: (Element (Vec n a) -> Element (Vec n a) -> Ordering) -> Vec n a -> Element (Vec n a) # | |
MonoFunctor (Vec n a) Source # | |
type Rep (Vec n) Source # | |
Defined in Termonad.Config.Vec | |
type Element (Vec n a) Source # | |
Defined in Termonad.Config.Vec |
singletonVec :: a -> Vec N1 a Source #
replaceVec :: Sing n -> a -> Vec n a Source #
replaceVec_ :: SingI n => a -> Vec n a Source #
unsafeFromListVec :: Sing n -> [a] -> Vec n a Source #
unsafeFromListVec_ :: SingI n => [a] -> Vec n a Source #
Instances
SingI ns => Monad (Matrix ns) Source # | |
SingI ns => Functor (Matrix ns) Source # | |
SingI ns => Applicative (Matrix ns) Source # | |
SingI ns => Foldable (Matrix ns) Source # | |
Defined in Termonad.Config.Vec fold :: Monoid m => Matrix ns m -> m # foldMap :: Monoid m => (a -> m) -> Matrix ns a -> m # foldr :: (a -> b -> b) -> b -> Matrix ns a -> b # foldr' :: (a -> b -> b) -> b -> Matrix ns a -> b # foldl :: (b -> a -> b) -> b -> Matrix ns a -> b # foldl' :: (b -> a -> b) -> b -> Matrix ns a -> b # foldr1 :: (a -> a -> a) -> Matrix ns a -> a # foldl1 :: (a -> a -> a) -> Matrix ns a -> a # toList :: Matrix ns a -> [a] # length :: Matrix ns a -> Int # elem :: Eq a => a -> Matrix ns a -> Bool # maximum :: Ord a => Matrix ns a -> a # minimum :: Ord a => Matrix ns a -> a # | |
SingI ns => Distributive (Matrix ns) Source # | |
SingI ns => Representable (Matrix ns) Source # | |
Eq (MatrixTF ns a) => Eq (Matrix ns a) Source # | |
Num a => Num (Matrix ([] :: [Peano]) a) Source # | |
Defined in Termonad.Config.Vec (+) :: Matrix [] a -> Matrix [] a -> Matrix [] a # (-) :: Matrix [] a -> Matrix [] a -> Matrix [] a # (*) :: Matrix [] a -> Matrix [] a -> Matrix [] a # negate :: Matrix [] a -> Matrix [] a # abs :: Matrix [] a -> Matrix [] a # signum :: Matrix [] a -> Matrix [] a # fromInteger :: Integer -> Matrix [] a # | |
Ord (MatrixTF ns a) => Ord (Matrix ns a) Source # | |
Defined in Termonad.Config.Vec | |
Show (MatrixTF ns a) => Show (Matrix ns a) Source # | |
SingI ns => MonoFoldable (Matrix ns a) Source # | |
Defined in Termonad.Config.Vec ofoldMap :: Monoid m => (Element (Matrix ns a) -> m) -> Matrix ns a -> m # ofoldr :: (Element (Matrix ns a) -> b -> b) -> b -> Matrix ns a -> b # ofoldl' :: (a0 -> Element (Matrix ns a) -> a0) -> a0 -> Matrix ns a -> a0 # otoList :: Matrix ns a -> [Element (Matrix ns a)] # oall :: (Element (Matrix ns a) -> Bool) -> Matrix ns a -> Bool # oany :: (Element (Matrix ns a) -> Bool) -> Matrix ns a -> Bool # onull :: Matrix ns a -> Bool # olength :: Matrix ns a -> Int # olength64 :: Matrix ns a -> Int64 # ocompareLength :: Integral i => Matrix ns a -> i -> Ordering # otraverse_ :: Applicative f => (Element (Matrix ns a) -> f b) -> Matrix ns a -> f () # ofor_ :: Applicative f => Matrix ns a -> (Element (Matrix ns a) -> f b) -> f () # omapM_ :: Applicative m => (Element (Matrix ns a) -> m ()) -> Matrix ns a -> m () # oforM_ :: Applicative m => Matrix ns a -> (Element (Matrix ns a) -> m ()) -> m () # ofoldlM :: Monad m => (a0 -> Element (Matrix ns a) -> m a0) -> a0 -> Matrix ns a -> m a0 # ofoldMap1Ex :: Semigroup m => (Element (Matrix ns a) -> m) -> Matrix ns a -> m # ofoldr1Ex :: (Element (Matrix ns a) -> Element (Matrix ns a) -> Element (Matrix ns a)) -> Matrix ns a -> Element (Matrix ns a) # ofoldl1Ex' :: (Element (Matrix ns a) -> Element (Matrix ns a) -> Element (Matrix ns a)) -> Matrix ns a -> Element (Matrix ns a) # headEx :: Matrix ns a -> Element (Matrix ns a) # lastEx :: Matrix ns a -> Element (Matrix ns a) # unsafeHead :: Matrix ns a -> Element (Matrix ns a) # unsafeLast :: Matrix ns a -> Element (Matrix ns a) # maximumByEx :: (Element (Matrix ns a) -> Element (Matrix ns a) -> Ordering) -> Matrix ns a -> Element (Matrix ns a) # minimumByEx :: (Element (Matrix ns a) -> Element (Matrix ns a) -> Ordering) -> Matrix ns a -> Element (Matrix ns a) # | |
type Rep (Matrix ns) Source # | |
Defined in Termonad.Config.Vec | |
type Element (Matrix ns a) Source # | |
Defined in Termonad.Config.Vec |
data MatrixTFSym1 (ns :: [Peano]) (z :: TyFun Type Type) Source #
SameKind (Apply (MatrixTFSym1 ns) arg) (MatrixTFSym2 ns arg) => MatrixTFSym1KindInference |
data MatrixTFSym0 (l :: TyFun [Peano] (Type ~> Type)) Source #
SameKind (Apply MatrixTFSym0 arg) (MatrixTFSym1 arg) => MatrixTFSym0KindInference |
Instances
type Apply MatrixTFSym0 (l :: [Peano]) Source # | |
Defined in Termonad.Config.Vec |
eqSingMatrix :: forall (peanos :: [Peano]) (a :: Type). Eq a => Sing peanos -> Matrix peanos a -> Matrix peanos a -> Bool Source #
ordSingMatrix :: forall (peanos :: [Peano]) (a :: Type). Ord a => Sing peanos -> Matrix peanos a -> Matrix peanos a -> Ordering Source #
compareSingMatrix :: forall (peanos :: [Peano]) (a :: Type) (c :: Type). (a -> a -> c) -> c -> (c -> c -> c) -> Sing peanos -> Matrix peanos a -> Matrix peanos a -> c Source #
fmapSingMatrix :: forall (peanos :: [Peano]) (a :: Type) (b :: Type). Sing peanos -> (a -> b) -> Matrix peanos a -> Matrix peanos b Source #
toListMatrix :: forall (peanos :: [Peano]) (a :: Type). Sing peanos -> Matrix peanos a -> [a] Source #
genMatrix :: forall (ns :: [Peano]) (a :: Type). Sing ns -> (HList Fin ns -> a) -> Matrix ns a Source #