Copyright	2014 Edward Kmett Charles Durham [2015..2020] Trevor L. McDonell
License	BSD-style (see the file LICENSE)
Maintainer	Trevor L. McDonell <trevor.mcdonell@gmail.com>
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Data.Array.Accelerate.Linear.V4

Contents

Orphan instances

Description

4-D Vectors

Synopsis

data V4 a = V4 !a !a !a !a
pattern V4_ :: Elt a => Exp a -> Exp a -> Exp a -> Exp a -> Exp (V4 a)
vector :: forall a. Num a => Exp (V3 a) -> Exp (V4 a)
point :: forall a. Num a => Exp (V3 a) -> Exp (V4 a)
normalizePoint :: forall a. Fractional a => Exp (V4 a) -> Exp (V3 a)
class R1 t => R1 t where
- _x :: (Elt a, Box t a) => Lens' (Exp (t a)) (Exp a)
class (R2 t, R1 t) => R2 t where
- _y :: (Elt a, Box t a) => Lens' (Exp (t a)) (Exp a)
- _xy :: (Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a))
_yx :: forall t a. (R2 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a))
class (R3 t, R2 t) => R3 t where
- _z :: forall a. (Elt a, Box t a) => Lens' (Exp (t a)) (Exp a)
- _xyz :: forall a. (Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_xz :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a))
_yz :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a))
_zx :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a))
_zy :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a))
_xzy :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_yxz :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_yzx :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_zxy :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_zyx :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
class (R4 t, R3 t) => R4 t where
- _w :: forall a. (Elt a, Box t a) => Lens' (Exp (t a)) (Exp a)
- _xyzw :: forall a. (Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_xw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a))
_yw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a))
_zw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a))
_wx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a))
_wy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a))
_wz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a))
_xyw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_xzw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_xwy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_xwz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_yxw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_yzw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_ywx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_ywz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_zxw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_zyw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_zwx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_zwy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_wxy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_wxz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_wyx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_wyz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_wzx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_wzy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a))
_xywz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_xzyw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_xzwy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_xwyz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_xwzy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_yxzw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_yxwz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_yzxw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_yzwx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_ywxz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_ywzx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_zxyw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_zxwy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_zyxw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_zywx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_zwxy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_zwyx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_wxyz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_wxzy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_wyxz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_wyzx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_wzxy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
_wzyx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a))
ex :: R1 t => E t
ey :: R2 t => E t
ez :: R3 t => E t
ew :: R4 t => E t

Documentation

data V4 a #

A 4-dimensional vector.

Constructors

V4 !a !a !a !a

Instances

Monad V4
Instance details Defined in Linear.V4 Methods (>>=) :: V4 a -> (a -> V4 b) -> V4 b # (>>) :: V4 a -> V4 b -> V4 b # return :: a -> V4 a # fail :: String -> V4 a #
Functor V4
Instance details Defined in Linear.V4 Methods fmap :: (a -> b) -> V4 a -> V4 b # (<$) :: a -> V4 b -> V4 a #
MonadFix V4
Instance details Defined in Linear.V4 Methods mfix :: (a -> V4 a) -> V4 a #
Applicative V4
Instance details Defined in Linear.V4 Methods pure :: a -> V4 a # (<>) :: V4 (a -> b) -> V4 a -> V4 b # liftA2 :: (a -> b -> c) -> V4 a -> V4 b -> V4 c # (>) :: V4 a -> V4 b -> V4 b # (<*) :: V4 a -> V4 b -> V4 a #
Foldable V4
Instance details Defined in Linear.V4 Methods fold :: Monoid m => V4 m -> m # foldMap :: Monoid m => (a -> m) -> V4 a -> m # foldr :: (a -> b -> b) -> b -> V4 a -> b # foldr' :: (a -> b -> b) -> b -> V4 a -> b # foldl :: (b -> a -> b) -> b -> V4 a -> b # foldl' :: (b -> a -> b) -> b -> V4 a -> b # foldr1 :: (a -> a -> a) -> V4 a -> a # foldl1 :: (a -> a -> a) -> V4 a -> a # toList :: V4 a -> [a] # null :: V4 a -> Bool # length :: V4 a -> Int # elem :: Eq a => a -> V4 a -> Bool # maximum :: Ord a => V4 a -> a # minimum :: Ord a => V4 a -> a # sum :: Num a => V4 a -> a # product :: Num a => V4 a -> a #
Traversable V4
Instance details Defined in Linear.V4 Methods traverse :: Applicative f => (a -> f b) -> V4 a -> f (V4 b) # sequenceA :: Applicative f => V4 (f a) -> f (V4 a) # mapM :: Monad m => (a -> m b) -> V4 a -> m (V4 b) # sequence :: Monad m => V4 (m a) -> m (V4 a) #
Functor V4 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods fmap :: (Elt a, Elt b, Elt (V4 a), Elt (V4 b)) => (Exp a -> Exp b) -> Exp (V4 a) -> Exp (V4 b) # (<$) :: (Elt a, Elt b, Elt (V4 a), Elt (V4 b)) => Exp a -> Exp (V4 b) -> Exp (V4 a) #
Distributive V4
Instance details Defined in Linear.V4 Methods distribute :: Functor f => f (V4 a) -> V4 (f a) # collect :: Functor f => (a -> V4 b) -> f a -> V4 (f b) # distributeM :: Monad m => m (V4 a) -> V4 (m a) # collectM :: Monad m => (a -> V4 b) -> m a -> V4 (m b) #
Representable V4
Instance details Defined in Linear.V4 Associated Types type Rep V4 :: Type # Methods tabulate :: (Rep V4 -> a) -> V4 a # index :: V4 a -> Rep V4 -> a #
Eq1 V4
Instance details Defined in Linear.V4 Methods liftEq :: (a -> b -> Bool) -> V4 a -> V4 b -> Bool #
Ord1 V4
Instance details Defined in Linear.V4 Methods liftCompare :: (a -> b -> Ordering) -> V4 a -> V4 b -> Ordering #
Read1 V4
Instance details Defined in Linear.V4 Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (V4 a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [V4 a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (V4 a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [V4 a] #
Show1 V4
Instance details Defined in Linear.V4 Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V4 a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [V4 a] -> ShowS #
MonadZip V4
Instance details Defined in Linear.V4 Methods mzip :: V4 a -> V4 b -> V4 (a, b) # mzipWith :: (a -> b -> c) -> V4 a -> V4 b -> V4 c # munzip :: V4 (a, b) -> (V4 a, V4 b) #
Serial1 V4
Instance details Defined in Linear.V4 Methods serializeWith :: MonadPut m => (a -> m ()) -> V4 a -> m () # deserializeWith :: MonadGet m => m a -> m (V4 a) #
Hashable1 V4
Instance details Defined in Linear.V4 Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> V4 a -> Int #
Apply V4
Instance details Defined in Linear.V4 Methods (<.>) :: V4 (a -> b) -> V4 a -> V4 b # (.>) :: V4 a -> V4 b -> V4 b # (<.) :: V4 a -> V4 b -> V4 a # liftF2 :: (a -> b -> c) -> V4 a -> V4 b -> V4 c #
Traversable1 V4
Instance details Defined in Linear.V4 Methods traverse1 :: Apply f => (a -> f b) -> V4 a -> f (V4 b) # sequence1 :: Apply f => V4 (f b) -> f (V4 b) #
Trace V4
Instance details Defined in Linear.Trace Methods trace :: Num a => V4 (V4 a) -> a # diagonal :: V4 (V4 a) -> V4 a #
R4 V4
Instance details Defined in Linear.V4 Methods _w :: Lens' (V4 a) a # _xyzw :: Lens' (V4 a) (V4 a) #
R3 V4
Instance details Defined in Linear.V4 Methods _z :: Lens' (V4 a) a # _xyz :: Lens' (V4 a) (V3 a) #
R2 V4
Instance details Defined in Linear.V4 Methods _y :: Lens' (V4 a) a # _xy :: Lens' (V4 a) (V2 a) #
R1 V4
Instance details Defined in Linear.V4 Methods _x :: Lens' (V4 a) a #
Finite V4
Instance details Defined in Linear.V4 Associated Types type Size V4 :: Nat # Methods toV :: V4 a -> V (Size V4) a # fromV :: V (Size V4) a -> V4 a #
Metric V4
Instance details Defined in Linear.V4 Methods dot :: Num a => V4 a -> V4 a -> a # quadrance :: Num a => V4 a -> a # qd :: Num a => V4 a -> V4 a -> a # distance :: Floating a => V4 a -> V4 a -> a # norm :: Floating a => V4 a -> a # signorm :: Floating a => V4 a -> V4 a #
Additive V4
Instance details Defined in Linear.V4 Methods zero :: Num a => V4 a # (^+^) :: Num a => V4 a -> V4 a -> V4 a # (^-^) :: Num a => V4 a -> V4 a -> V4 a # lerp :: Num a => a -> V4 a -> V4 a -> V4 a # liftU2 :: (a -> a -> a) -> V4 a -> V4 a -> V4 a # liftI2 :: (a -> b -> c) -> V4 a -> V4 b -> V4 c #
Foldable1 V4
Instance details Defined in Linear.V4 Methods fold1 :: Semigroup m => V4 m -> m # foldMap1 :: Semigroup m => (a -> m) -> V4 a -> m # toNonEmpty :: V4 a -> NonEmpty a #
Bind V4
Instance details Defined in Linear.V4 Methods (>>-) :: V4 a -> (a -> V4 b) -> V4 b # join :: V4 (V4 a) -> V4 a #
Additive V4 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods zero :: (Elt (V4 a), Num a) => Exp (V4 a) Source # (^+^) :: (Num a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) Source # (^-^) :: (Num a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) Source # lerp :: (Num a, Box V4 a) => Exp a -> Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) Source #
Metric V4 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods dot :: (Num a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp a Source # quadrance :: (Num a, Box V4 a) => Exp (V4 a) -> Exp a Source # qd :: (Num a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp a Source # distance :: (Floating a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp a Source # norm :: (Floating a, Box V4 a) => Exp (V4 a) -> Exp a Source # signorm :: (Floating a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) Source #
R1 V4 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods _x :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a) Source #
R2 V4 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods _y :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a) Source # _xy :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp (V2 a)) Source #
R3 V4 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods _z :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a) Source # _xyz :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp (V3 a)) Source #
R4 V4 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods _w :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a) Source # _xyzw :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp (V4 a)) Source #
Trace V4 Source #
Instance details Defined in Data.Array.Accelerate.Linear.Trace Methods trace :: (Num a, Box2 V4 V4 a) => Exp (V4 (V4 a)) -> Exp a Source # diagonal :: Box2 V4 V4 a => Exp (V4 (V4 a)) -> Exp (V4 a) Source #
(Lift Exp a, Elt (Plain a)) => Lift Exp (V4 a) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Associated Types type Plain (V4 a) :: Type # Methods lift :: V4 a -> Exp (Plain (V4 a)) #
Elt a => Unlift Exp (V4 (Exp a)) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods unlift :: Exp (Plain (V4 (Exp a))) -> V4 (Exp a) #
Unbox a => Vector Vector (V4 a)
Instance details Defined in Linear.V4 Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) (V4 a) -> m (Vector (V4 a)) # basicUnsafeThaw :: PrimMonad m => Vector (V4 a) -> m (Mutable Vector (PrimState m) (V4 a)) # basicLength :: Vector (V4 a) -> Int # basicUnsafeSlice :: Int -> Int -> Vector (V4 a) -> Vector (V4 a) # basicUnsafeIndexM :: Monad m => Vector (V4 a) -> Int -> m (V4 a) # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) (V4 a) -> Vector (V4 a) -> m () # elemseq :: Vector (V4 a) -> V4 a -> b -> b #
Unbox a => MVector MVector (V4 a)
Instance details Defined in Linear.V4 Methods basicLength :: MVector s (V4 a) -> Int # basicUnsafeSlice :: Int -> Int -> MVector s (V4 a) -> MVector s (V4 a) # basicOverlaps :: MVector s (V4 a) -> MVector s (V4 a) -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) (V4 a)) # basicInitialize :: PrimMonad m => MVector (PrimState m) (V4 a) -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> V4 a -> m (MVector (PrimState m) (V4 a)) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) (V4 a) -> Int -> m (V4 a) # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) (V4 a) -> Int -> V4 a -> m () # basicClear :: PrimMonad m => MVector (PrimState m) (V4 a) -> m () # basicSet :: PrimMonad m => MVector (PrimState m) (V4 a) -> V4 a -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) (V4 a) -> MVector (PrimState m) (V4 a) -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) (V4 a) -> MVector (PrimState m) (V4 a) -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) (V4 a) -> Int -> m (MVector (PrimState m) (V4 a)) #
Bounded a => Bounded (Exp (V4 a)) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods minBound :: Exp (V4 a) # maxBound :: Exp (V4 a) #
Bounded a => Bounded (V4 a)
Instance details Defined in Linear.V4 Methods minBound :: V4 a # maxBound :: V4 a #
Eq a => Eq (V4 a)
Instance details Defined in Linear.V4 Methods (==) :: V4 a -> V4 a -> Bool # (/=) :: V4 a -> V4 a -> Bool #
Floating a => Floating (Exp (V4 a)) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods pi :: Exp (V4 a) # exp :: Exp (V4 a) -> Exp (V4 a) # log :: Exp (V4 a) -> Exp (V4 a) # sqrt :: Exp (V4 a) -> Exp (V4 a) # (**) :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # logBase :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # sin :: Exp (V4 a) -> Exp (V4 a) # cos :: Exp (V4 a) -> Exp (V4 a) # tan :: Exp (V4 a) -> Exp (V4 a) # asin :: Exp (V4 a) -> Exp (V4 a) # acos :: Exp (V4 a) -> Exp (V4 a) # atan :: Exp (V4 a) -> Exp (V4 a) # sinh :: Exp (V4 a) -> Exp (V4 a) # cosh :: Exp (V4 a) -> Exp (V4 a) # tanh :: Exp (V4 a) -> Exp (V4 a) # asinh :: Exp (V4 a) -> Exp (V4 a) # acosh :: Exp (V4 a) -> Exp (V4 a) # atanh :: Exp (V4 a) -> Exp (V4 a) # log1p :: Exp (V4 a) -> Exp (V4 a) # expm1 :: Exp (V4 a) -> Exp (V4 a) # log1pexp :: Exp (V4 a) -> Exp (V4 a) # log1mexp :: Exp (V4 a) -> Exp (V4 a) #
Floating a => Floating (V4 a)
Instance details Defined in Linear.V4 Methods pi :: V4 a # exp :: V4 a -> V4 a # log :: V4 a -> V4 a # sqrt :: V4 a -> V4 a # (**) :: V4 a -> V4 a -> V4 a # logBase :: V4 a -> V4 a -> V4 a # sin :: V4 a -> V4 a # cos :: V4 a -> V4 a # tan :: V4 a -> V4 a # asin :: V4 a -> V4 a # acos :: V4 a -> V4 a # atan :: V4 a -> V4 a # sinh :: V4 a -> V4 a # cosh :: V4 a -> V4 a # tanh :: V4 a -> V4 a # asinh :: V4 a -> V4 a # acosh :: V4 a -> V4 a # atanh :: V4 a -> V4 a # log1p :: V4 a -> V4 a # expm1 :: V4 a -> V4 a # log1pexp :: V4 a -> V4 a # log1mexp :: V4 a -> V4 a #
Floating a => Fractional (Exp (V4 a)) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods (/) :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # recip :: Exp (V4 a) -> Exp (V4 a) # fromRational :: Rational -> Exp (V4 a) #
Fractional a => Fractional (V4 a)
Instance details Defined in Linear.V4 Methods (/) :: V4 a -> V4 a -> V4 a # recip :: V4 a -> V4 a # fromRational :: Rational -> V4 a #
Data a => Data (V4 a)
Instance details Defined in Linear.V4 Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> V4 a -> c (V4 a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V4 a) # toConstr :: V4 a -> Constr # dataTypeOf :: V4 a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V4 a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V4 a)) # gmapT :: (forall b. Data b => b -> b) -> V4 a -> V4 a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V4 a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V4 a -> r # gmapQ :: (forall d. Data d => d -> u) -> V4 a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> V4 a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> V4 a -> m (V4 a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> V4 a -> m (V4 a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> V4 a -> m (V4 a) #
Num a => Num (Exp (V4 a)) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods (+) :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # (-) :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # (*) :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # negate :: Exp (V4 a) -> Exp (V4 a) # abs :: Exp (V4 a) -> Exp (V4 a) # signum :: Exp (V4 a) -> Exp (V4 a) # fromInteger :: Integer -> Exp (V4 a) #
Num a => Num (V4 a)
Instance details Defined in Linear.V4 Methods (+) :: V4 a -> V4 a -> V4 a # (-) :: V4 a -> V4 a -> V4 a # (*) :: V4 a -> V4 a -> V4 a # negate :: V4 a -> V4 a # abs :: V4 a -> V4 a # signum :: V4 a -> V4 a # fromInteger :: Integer -> V4 a #
Ord a => Ord (V4 a)
Instance details Defined in Linear.V4 Methods compare :: V4 a -> V4 a -> Ordering # (<) :: V4 a -> V4 a -> Bool # (<=) :: V4 a -> V4 a -> Bool # (>) :: V4 a -> V4 a -> Bool # (>=) :: V4 a -> V4 a -> Bool # max :: V4 a -> V4 a -> V4 a # min :: V4 a -> V4 a -> V4 a #
Read a => Read (V4 a)
Instance details Defined in Linear.V4 Methods readsPrec :: Int -> ReadS (V4 a) # readList :: ReadS [V4 a] # readPrec :: ReadPrec (V4 a) # readListPrec :: ReadPrec [V4 a] #
Show a => Show (V4 a)
Instance details Defined in Linear.V4 Methods showsPrec :: Int -> V4 a -> ShowS # show :: V4 a -> String # showList :: [V4 a] -> ShowS #
Ix a => Ix (V4 a)
Instance details Defined in Linear.V4 Methods range :: (V4 a, V4 a) -> [V4 a] # index :: (V4 a, V4 a) -> V4 a -> Int # unsafeIndex :: (V4 a, V4 a) -> V4 a -> Int inRange :: (V4 a, V4 a) -> V4 a -> Bool # rangeSize :: (V4 a, V4 a) -> Int # unsafeRangeSize :: (V4 a, V4 a) -> Int
Generic (V4 a)
Instance details Defined in Linear.V4 Associated Types type Rep (V4 a) :: Type -> Type # Methods from :: V4 a -> Rep (V4 a) x # to :: Rep (V4 a) x -> V4 a #
Semigroup a => Semigroup (V4 a)
Instance details Defined in Linear.V4 Methods (<>) :: V4 a -> V4 a -> V4 a # sconcat :: NonEmpty (V4 a) -> V4 a # stimes :: Integral b => b -> V4 a -> V4 a #
Monoid a => Monoid (V4 a)
Instance details Defined in Linear.V4 Methods mempty :: V4 a # mappend :: V4 a -> V4 a -> V4 a # mconcat :: [V4 a] -> V4 a #
Lift a => Lift (V4 a)
Instance details Defined in Linear.V4 Methods lift :: V4 a -> Q Exp #
Ord a => Ord (V4 a) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods (<) :: Exp (V4 a) -> Exp (V4 a) -> Exp Bool # (>) :: Exp (V4 a) -> Exp (V4 a) -> Exp Bool # (<=) :: Exp (V4 a) -> Exp (V4 a) -> Exp Bool # (>=) :: Exp (V4 a) -> Exp (V4 a) -> Exp Bool # min :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # max :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # compare :: Exp (V4 a) -> Exp (V4 a) -> Exp Ordering #
Eq a => Eq (V4 a) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods (==) :: Exp (V4 a) -> Exp (V4 a) -> Exp Bool # (/=) :: Exp (V4 a) -> Exp (V4 a) -> Exp Bool #
Elt a => Elt (V4 a) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Associated Types type EltR (V4 a) :: Type Methods eltR :: TypeR (EltR (V4 a)) tagsR :: [TagR (EltR (V4 a))] fromElt :: V4 a -> EltR (V4 a) toElt :: EltR (V4 a) -> V4 a
Storable a => Storable (V4 a)
Instance details Defined in Linear.V4 Methods sizeOf :: V4 a -> Int # alignment :: V4 a -> Int # peekElemOff :: Ptr (V4 a) -> Int -> IO (V4 a) # pokeElemOff :: Ptr (V4 a) -> Int -> V4 a -> IO () # peekByteOff :: Ptr b -> Int -> IO (V4 a) # pokeByteOff :: Ptr b -> Int -> V4 a -> IO () # peek :: Ptr (V4 a) -> IO (V4 a) # poke :: Ptr (V4 a) -> V4 a -> IO () #
Binary a => Binary (V4 a)
Instance details Defined in Linear.V4 Methods put :: V4 a -> Put # get :: Get (V4 a) # putList :: [V4 a] -> Put #
Serial a => Serial (V4 a)
Instance details Defined in Linear.V4 Methods serialize :: MonadPut m => V4 a -> m () # deserialize :: MonadGet m => m (V4 a) #
Serialize a => Serialize (V4 a)
Instance details Defined in Linear.V4 Methods put :: Putter (V4 a) # get :: Get (V4 a) #
NFData a => NFData (V4 a)
Instance details Defined in Linear.V4 Methods rnf :: V4 a -> () #
Hashable a => Hashable (V4 a)
Instance details Defined in Linear.V4 Methods hashWithSalt :: Int -> V4 a -> Int # hash :: V4 a -> Int #
Unbox a => Unbox (V4 a)
Instance details Defined in Linear.V4
Ixed (V4 a)
Instance details Defined in Linear.V4 Methods ix :: Index (V4 a) -> Traversal' (V4 a) (IxValue (V4 a)) #
Epsilon a => Epsilon (V4 a)
Instance details Defined in Linear.V4 Methods nearZero :: V4 a -> Bool #
Random a => Random (V4 a)
Instance details Defined in Linear.V4 Methods randomR :: RandomGen g => (V4 a, V4 a) -> g -> (V4 a, g) # random :: RandomGen g => g -> (V4 a, g) # randomRs :: RandomGen g => (V4 a, V4 a) -> g -> [V4 a] # randoms :: RandomGen g => g -> [V4 a] # randomRIO :: (V4 a, V4 a) -> IO (V4 a) # randomIO :: IO (V4 a) #
Epsilon a => Epsilon (V4 a) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods nearZero :: Exp (V4 a) -> Exp Bool Source #
Generic1 V4
Instance details Defined in Linear.V4 Associated Types type Rep1 V4 :: k -> Type # Methods from1 :: V4 a -> Rep1 V4 a # to1 :: Rep1 V4 a -> V4 a #
FunctorWithIndex (E V4) V4
Instance details Defined in Linear.V4 Methods imap :: (E V4 -> a -> b) -> V4 a -> V4 b # imapped :: IndexedSetter (E V4) (V4 a) (V4 b) a b #
FoldableWithIndex (E V4) V4
Instance details Defined in Linear.V4 Methods ifoldMap :: Monoid m => (E V4 -> a -> m) -> V4 a -> m # ifolded :: IndexedFold (E V4) (V4 a) a # ifoldr :: (E V4 -> a -> b -> b) -> b -> V4 a -> b # ifoldl :: (E V4 -> b -> a -> b) -> b -> V4 a -> b # ifoldr' :: (E V4 -> a -> b -> b) -> b -> V4 a -> b # ifoldl' :: (E V4 -> b -> a -> b) -> b -> V4 a -> b #
TraversableWithIndex (E V4) V4
Instance details Defined in Linear.V4 Methods itraverse :: Applicative f => (E V4 -> a -> f b) -> V4 a -> f (V4 b) # itraversed :: IndexedTraversal (E V4) (V4 a) (V4 b) a b #
Each (V4 a) (V4 b) a b
Instance details Defined in Linear.V4 Methods each :: Traversal (V4 a) (V4 b) a b #
Field1 (V4 a) (V4 a) a a
Instance details Defined in Linear.V4 Methods _1 :: Lens (V4 a) (V4 a) a a #
Field2 (V4 a) (V4 a) a a
Instance details Defined in Linear.V4 Methods _2 :: Lens (V4 a) (V4 a) a a #
Field3 (V4 a) (V4 a) a a
Instance details Defined in Linear.V4 Methods _3 :: Lens (V4 a) (V4 a) a a #
Field4 (V4 a) (V4 a) a a
Instance details Defined in Linear.V4 Methods _4 :: Lens (V4 a) (V4 a) a a #
(Elt a, Elt b) => Each (Exp (V4 a)) (Exp (V4 b)) (Exp a) (Exp b) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods each :: Traversal (Exp (V4 a)) (Exp (V4 b)) (Exp a) (Exp b) #
type Rep V4
Instance details Defined in Linear.V4 type Rep V4 = E V4
type Size V4
Instance details Defined in Linear.V4 type Size V4 = 4
data MVector s (V4 a)
Instance details Defined in Linear.V4 data MVector s (V4 a) = MV_V4 !Int !(MVector s a)
type Rep (V4 a)
Instance details Defined in Linear.V4 type Rep (V4 a) = D1 (MetaData "V4" "Linear.V4" "linear-1.21.1-GSRtap511Ww6RirKx1xviJ" False) (C1 (MetaCons "V4" PrefixI False) ((S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) (Rec0 a) :: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) (Rec0 a)) :: (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) (Rec0 a) :*: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) (Rec0 a))))
type EltR (V4 a)
Instance details Defined in Data.Array.Accelerate.Linear.V4 type EltR (V4 a) = GEltR () (Rep (V4 a))
type Plain (V4 a) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 type Plain (V4 a) = V4 (Plain a)
data Vector (V4 a)
Instance details Defined in Linear.V4 data Vector (V4 a) = V_V4 !Int !(Vector a)
type Index (V4 a)
Instance details Defined in Linear.V4 type Index (V4 a) = E V4
type IxValue (V4 a)
Instance details Defined in Linear.V4 type IxValue (V4 a) = a
type Rep1 V4
Instance details Defined in Linear.V4 type Rep1 V4 = D1 (MetaData "V4" "Linear.V4" "linear-1.21.1-GSRtap511Ww6RirKx1xviJ" False) (C1 (MetaCons "V4" PrefixI False) ((S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) Par1 :: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) Par1) :: (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) Par1 :*: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) Par1)))

pattern V4_ :: Elt a => Exp a -> Exp a -> Exp a -> Exp a -> Exp (V4 a) Source #

vector :: forall a. Num a => Exp (V3 a) -> Exp (V4 a) Source #

Convert a 3-dimensional affine vector into a 4-dimensional homogeneous vector.

point :: forall a. Num a => Exp (V3 a) -> Exp (V4 a) Source #

Convert a 3-dimensional affine point into a 4-dimensional homogeneous vector.

normalizePoint :: forall a. Fractional a => Exp (V4 a) -> Exp (V3 a) Source #

Convert 4-dimensional projective coordinates to a 3-dimensional point. This operation may be denoted, euclidean [x:y:z:w] = (x/w, y/w, z/w) where the projective, homogenous, coordinate [x:y:z:w] is one of many associated with a single point (x/w, y/w, z/w).

class R1 t => R1 t where Source #

A space that has at least 1 basis vector _x.

Minimal complete definition

Nothing

Methods

_x :: (Elt a, Box t a) => Lens' (Exp (t a)) (Exp a) Source #

>>> test $ (V1_ 2 :: Exp (V1 Int)) ^. _x
2

>>> test $ (V1_ 2 :: Exp (V1 Int)) & _x .~ 3
V1 3

Instances

R1 V4 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods _x :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a) Source #
R1 V3 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods _x :: (Elt a, Box V3 a) => Lens' (Exp (V3 a)) (Exp a) Source #
R1 V2 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V2 Methods _x :: (Elt a, Box V2 a) => Lens' (Exp (V2 a)) (Exp a) Source #
R1 V1 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V1 Methods _x :: (Elt a, Box V1 a) => Lens' (Exp (V1 a)) (Exp a) Source #

class (R2 t, R1 t) => R2 t where Source #

A space that distinguishes 2 orthogonal basis vectors _x and _y, but may have more.

Minimal complete definition

Nothing

Methods

_y :: (Elt a, Box t a) => Lens' (Exp (t a)) (Exp a) Source #

>>> test $ (V2_ 1 2 :: Exp (V2 Int)) ^. _y
2

>>> test $ (V2_ 1 2 :: Exp (V2 Int)) & _y .~ 3
V2 1 3

_xy :: (Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a)) Source #

Instances

R2 V4 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods _y :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a) Source # _xy :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp (V2 a)) Source #
R2 V3 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods _y :: (Elt a, Box V3 a) => Lens' (Exp (V3 a)) (Exp a) Source # _xy :: (Elt a, Box V3 a) => Lens' (Exp (V3 a)) (Exp (V2 a)) Source #
R2 V2 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V2 Methods _y :: (Elt a, Box V2 a) => Lens' (Exp (V2 a)) (Exp a) Source # _xy :: (Elt a, Box V2 a) => Lens' (Exp (V2 a)) (Exp (V2 a)) Source #

_yx :: forall t a. (R2 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a)) Source #

>>> test $ (V2_ 1 2 :: Exp (V2 Int)) ^. _yx
V2 2 1

class (R3 t, R2 t) => R3 t where Source #

A space that distinguishes 3 orthogonal basis vectors: _x, _y, and _z. (Although it may have more)

Minimal complete definition

Nothing

Methods

_z :: forall a. (Elt a, Box t a) => Lens' (Exp (t a)) (Exp a) Source #

>>> test $ (V3_ 1 2 3 :: Exp (V3 Int)) ^. _z
3

>>> test $ (V3_ 1 2 3 :: Exp (V3 Int)) & _z .~ 42
V3 1 2 42

_xyz :: forall a. (Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

Instances

R3 V4 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods _z :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a) Source # _xyz :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp (V3 a)) Source #
R3 V3 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods _z :: (Elt a, Box V3 a) => Lens' (Exp (V3 a)) (Exp a) Source # _xyz :: (Elt a, Box V3 a) => Lens' (Exp (V3 a)) (Exp (V3 a)) Source #

_xz :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a)) Source #

_yz :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a)) Source #

_zx :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a)) Source #

_zy :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a)) Source #

_xzy :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_yxz :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_yzx :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_zxy :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_zyx :: forall t a. (R3 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

class (R4 t, R3 t) => R4 t where Source #

A space that distinguishes orthogonal basis vectors _x, _y, _z, and _w. (Although it may have more.)

Minimal complete definition

Nothing

Methods

_w :: forall a. (Elt a, Box t a) => Lens' (Exp (t a)) (Exp a) Source #

>>> test $ (V4_ 1 2 3 4 :: Exp (V4 Int)) ^. _w
4

>>> test $ (V4_ 1 2 3 4 :: Exp (V4 Int)) & _w .~ 42
V4 1 2 3 42

_xyzw :: forall a. (Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

Instances

R4 V4 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V4 Methods _w :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a) Source # _xyzw :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp (V4 a)) Source #

_xw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a)) Source #

_yw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a)) Source #

_zw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a)) Source #

_wx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a)) Source #

_wy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a)) Source #

_wz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V2 a)) Source #

_xyw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_xzw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_xwy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_xwz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_yxw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_yzw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_ywx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_ywz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_zxw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_zyw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_zwx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_zwy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_wxy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_wxz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_wyx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_wyz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_wzx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_wzy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V3 a)) Source #

_xywz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_xzyw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_xzwy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_xwyz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_xwzy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_yxzw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_yxwz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_yzxw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_yzwx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_ywxz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_ywzx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_zxyw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_zxwy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_zyxw :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_zywx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_zwxy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_zwyx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_wxyz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_wxzy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_wyxz :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_wyzx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_wzxy :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

_wzyx :: forall t a. (R4 t, Elt a, Box t a) => Lens' (Exp (t a)) (Exp (V4 a)) Source #

ex :: R1 t => E t Source #

ey :: R2 t => E t Source #

ez :: R3 t => E t Source #

ew :: R4 t => E t Source #

Orphan instances

Functor V4 Source #
Instance details Methods fmap :: (Elt a, Elt b, Elt (V4 a), Elt (V4 b)) => (Exp a -> Exp b) -> Exp (V4 a) -> Exp (V4 b) # (<$) :: (Elt a, Elt b, Elt (V4 a), Elt (V4 b)) => Exp a -> Exp (V4 b) -> Exp (V4 a) #
Additive V4 Source #
Instance details Methods zero :: (Elt (V4 a), Num a) => Exp (V4 a) Source # (^+^) :: (Num a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) Source # (^-^) :: (Num a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) Source # lerp :: (Num a, Box V4 a) => Exp a -> Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) Source #
Metric V4 Source #
Instance details Methods dot :: (Num a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp a Source # quadrance :: (Num a, Box V4 a) => Exp (V4 a) -> Exp a Source # qd :: (Num a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp a Source # distance :: (Floating a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp a Source # norm :: (Floating a, Box V4 a) => Exp (V4 a) -> Exp a Source # signorm :: (Floating a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) Source #
R1 V4 Source #
Instance details Methods _x :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a) Source #
R2 V4 Source #
Instance details Methods _y :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a) Source # _xy :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp (V2 a)) Source #
R3 V4 Source #
Instance details Methods _z :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a) Source # _xyz :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp (V3 a)) Source #
(Lift Exp a, Elt (Plain a)) => Lift Exp (V4 a) Source #
Instance details Associated Types type Plain (V4 a) :: Type # Methods lift :: V4 a -> Exp (Plain (V4 a)) #
Elt a => Unlift Exp (V4 (Exp a)) Source #
Instance details Methods unlift :: Exp (Plain (V4 (Exp a))) -> V4 (Exp a) #
Bounded a => Bounded (Exp (V4 a)) Source #
Instance details Methods minBound :: Exp (V4 a) # maxBound :: Exp (V4 a) #
Floating a => Floating (Exp (V4 a)) Source #
Instance details Methods pi :: Exp (V4 a) # exp :: Exp (V4 a) -> Exp (V4 a) # log :: Exp (V4 a) -> Exp (V4 a) # sqrt :: Exp (V4 a) -> Exp (V4 a) # (**) :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # logBase :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # sin :: Exp (V4 a) -> Exp (V4 a) # cos :: Exp (V4 a) -> Exp (V4 a) # tan :: Exp (V4 a) -> Exp (V4 a) # asin :: Exp (V4 a) -> Exp (V4 a) # acos :: Exp (V4 a) -> Exp (V4 a) # atan :: Exp (V4 a) -> Exp (V4 a) # sinh :: Exp (V4 a) -> Exp (V4 a) # cosh :: Exp (V4 a) -> Exp (V4 a) # tanh :: Exp (V4 a) -> Exp (V4 a) # asinh :: Exp (V4 a) -> Exp (V4 a) # acosh :: Exp (V4 a) -> Exp (V4 a) # atanh :: Exp (V4 a) -> Exp (V4 a) # log1p :: Exp (V4 a) -> Exp (V4 a) # expm1 :: Exp (V4 a) -> Exp (V4 a) # log1pexp :: Exp (V4 a) -> Exp (V4 a) # log1mexp :: Exp (V4 a) -> Exp (V4 a) #
Floating a => Fractional (Exp (V4 a)) Source #
Instance details Methods (/) :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # recip :: Exp (V4 a) -> Exp (V4 a) # fromRational :: Rational -> Exp (V4 a) #
Num a => Num (Exp (V4 a)) Source #
Instance details Methods (+) :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # (-) :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # (*) :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # negate :: Exp (V4 a) -> Exp (V4 a) # abs :: Exp (V4 a) -> Exp (V4 a) # signum :: Exp (V4 a) -> Exp (V4 a) # fromInteger :: Integer -> Exp (V4 a) #
Ord a => Ord (V4 a) Source #
Instance details Methods (<) :: Exp (V4 a) -> Exp (V4 a) -> Exp Bool # (>) :: Exp (V4 a) -> Exp (V4 a) -> Exp Bool # (<=) :: Exp (V4 a) -> Exp (V4 a) -> Exp Bool # (>=) :: Exp (V4 a) -> Exp (V4 a) -> Exp Bool # min :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # max :: Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a) # compare :: Exp (V4 a) -> Exp (V4 a) -> Exp Ordering #
Eq a => Eq (V4 a) Source #
Instance details Methods (==) :: Exp (V4 a) -> Exp (V4 a) -> Exp Bool # (/=) :: Exp (V4 a) -> Exp (V4 a) -> Exp Bool #
Elt a => Elt (V4 a) Source #
Instance details Associated Types type EltR (V4 a) :: Type Methods eltR :: TypeR (EltR (V4 a)) tagsR :: [TagR (EltR (V4 a))] fromElt :: V4 a -> EltR (V4 a) toElt :: EltR (V4 a) -> V4 a
Epsilon a => Epsilon (V4 a) Source #
Instance details Methods nearZero :: Exp (V4 a) -> Exp Bool Source #
(Elt a, Elt b) => Each (Exp (V4 a)) (Exp (V4 b)) (Exp a) (Exp b) Source #
Instance details Methods each :: Traversal (Exp (V4 a)) (Exp (V4 b)) (Exp a) (Exp b) #