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.V3

Contents

Orphan instances

Description

3-D Vectors

Synopsis

data V3 a = V3 !a !a !a
pattern V3_ :: Elt a => Exp a -> Exp a -> Exp a -> Exp (V3 a)
cross :: forall a. Num a => Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a)
triple :: forall a. Num a => Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a) -> Exp 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))
ex :: R1 t => E t
ey :: R2 t => E t
ez :: R3 t => E t

Documentation

data V3 a #

A 3-dimensional vector

Constructors

V3 !a !a !a

Instances

Monad V3
Instance details Defined in Linear.V3 Methods (>>=) :: V3 a -> (a -> V3 b) -> V3 b # (>>) :: V3 a -> V3 b -> V3 b # return :: a -> V3 a # fail :: String -> V3 a #
Functor V3
Instance details Defined in Linear.V3 Methods fmap :: (a -> b) -> V3 a -> V3 b # (<$) :: a -> V3 b -> V3 a #
MonadFix V3
Instance details Defined in Linear.V3 Methods mfix :: (a -> V3 a) -> V3 a #
Applicative V3
Instance details Defined in Linear.V3 Methods pure :: a -> V3 a # (<>) :: V3 (a -> b) -> V3 a -> V3 b # liftA2 :: (a -> b -> c) -> V3 a -> V3 b -> V3 c # (>) :: V3 a -> V3 b -> V3 b # (<*) :: V3 a -> V3 b -> V3 a #
Foldable V3
Instance details Defined in Linear.V3 Methods fold :: Monoid m => V3 m -> m # foldMap :: Monoid m => (a -> m) -> V3 a -> m # foldr :: (a -> b -> b) -> b -> V3 a -> b # foldr' :: (a -> b -> b) -> b -> V3 a -> b # foldl :: (b -> a -> b) -> b -> V3 a -> b # foldl' :: (b -> a -> b) -> b -> V3 a -> b # foldr1 :: (a -> a -> a) -> V3 a -> a # foldl1 :: (a -> a -> a) -> V3 a -> a # toList :: V3 a -> [a] # null :: V3 a -> Bool # length :: V3 a -> Int # elem :: Eq a => a -> V3 a -> Bool # maximum :: Ord a => V3 a -> a # minimum :: Ord a => V3 a -> a # sum :: Num a => V3 a -> a # product :: Num a => V3 a -> a #
Traversable V3
Instance details Defined in Linear.V3 Methods traverse :: Applicative f => (a -> f b) -> V3 a -> f (V3 b) # sequenceA :: Applicative f => V3 (f a) -> f (V3 a) # mapM :: Monad m => (a -> m b) -> V3 a -> m (V3 b) # sequence :: Monad m => V3 (m a) -> m (V3 a) #
Functor V3 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods fmap :: (Elt a, Elt b, Elt (V3 a), Elt (V3 b)) => (Exp a -> Exp b) -> Exp (V3 a) -> Exp (V3 b) # (<$) :: (Elt a, Elt b, Elt (V3 a), Elt (V3 b)) => Exp a -> Exp (V3 b) -> Exp (V3 a) #
Distributive V3
Instance details Defined in Linear.V3 Methods distribute :: Functor f => f (V3 a) -> V3 (f a) # collect :: Functor f => (a -> V3 b) -> f a -> V3 (f b) # distributeM :: Monad m => m (V3 a) -> V3 (m a) # collectM :: Monad m => (a -> V3 b) -> m a -> V3 (m b) #
Representable V3
Instance details Defined in Linear.V3 Associated Types type Rep V3 :: Type # Methods tabulate :: (Rep V3 -> a) -> V3 a # index :: V3 a -> Rep V3 -> a #
Eq1 V3
Instance details Defined in Linear.V3 Methods liftEq :: (a -> b -> Bool) -> V3 a -> V3 b -> Bool #
Ord1 V3
Instance details Defined in Linear.V3 Methods liftCompare :: (a -> b -> Ordering) -> V3 a -> V3 b -> Ordering #
Read1 V3
Instance details Defined in Linear.V3 Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (V3 a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [V3 a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (V3 a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [V3 a] #
Show1 V3
Instance details Defined in Linear.V3 Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V3 a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [V3 a] -> ShowS #
MonadZip V3
Instance details Defined in Linear.V3 Methods mzip :: V3 a -> V3 b -> V3 (a, b) # mzipWith :: (a -> b -> c) -> V3 a -> V3 b -> V3 c # munzip :: V3 (a, b) -> (V3 a, V3 b) #
Serial1 V3
Instance details Defined in Linear.V3 Methods serializeWith :: MonadPut m => (a -> m ()) -> V3 a -> m () # deserializeWith :: MonadGet m => m a -> m (V3 a) #
Hashable1 V3
Instance details Defined in Linear.V3 Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> V3 a -> Int #
Apply V3
Instance details Defined in Linear.V3 Methods (<.>) :: V3 (a -> b) -> V3 a -> V3 b # (.>) :: V3 a -> V3 b -> V3 b # (<.) :: V3 a -> V3 b -> V3 a # liftF2 :: (a -> b -> c) -> V3 a -> V3 b -> V3 c #
Traversable1 V3
Instance details Defined in Linear.V3 Methods traverse1 :: Apply f => (a -> f b) -> V3 a -> f (V3 b) # sequence1 :: Apply f => V3 (f b) -> f (V3 b) #
Trace V3
Instance details Defined in Linear.Trace Methods trace :: Num a => V3 (V3 a) -> a # diagonal :: V3 (V3 a) -> V3 a #
R3 V3
Instance details Defined in Linear.V3 Methods _z :: Lens' (V3 a) a # _xyz :: Lens' (V3 a) (V3 a) #
R2 V3
Instance details Defined in Linear.V3 Methods _y :: Lens' (V3 a) a # _xy :: Lens' (V3 a) (V2 a) #
R1 V3
Instance details Defined in Linear.V3 Methods _x :: Lens' (V3 a) a #
Finite V3
Instance details Defined in Linear.V3 Associated Types type Size V3 :: Nat # Methods toV :: V3 a -> V (Size V3) a # fromV :: V (Size V3) a -> V3 a #
Metric V3
Instance details Defined in Linear.V3 Methods dot :: Num a => V3 a -> V3 a -> a # quadrance :: Num a => V3 a -> a # qd :: Num a => V3 a -> V3 a -> a # distance :: Floating a => V3 a -> V3 a -> a # norm :: Floating a => V3 a -> a # signorm :: Floating a => V3 a -> V3 a #
Additive V3
Instance details Defined in Linear.V3 Methods zero :: Num a => V3 a # (^+^) :: Num a => V3 a -> V3 a -> V3 a # (^-^) :: Num a => V3 a -> V3 a -> V3 a # lerp :: Num a => a -> V3 a -> V3 a -> V3 a # liftU2 :: (a -> a -> a) -> V3 a -> V3 a -> V3 a # liftI2 :: (a -> b -> c) -> V3 a -> V3 b -> V3 c #
Foldable1 V3
Instance details Defined in Linear.V3 Methods fold1 :: Semigroup m => V3 m -> m # foldMap1 :: Semigroup m => (a -> m) -> V3 a -> m # toNonEmpty :: V3 a -> NonEmpty a #
Bind V3
Instance details Defined in Linear.V3 Methods (>>-) :: V3 a -> (a -> V3 b) -> V3 b # join :: V3 (V3 a) -> V3 a #
Additive V3 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods zero :: (Elt (V3 a), Num a) => Exp (V3 a) Source # (^+^) :: (Num a, Box V3 a) => Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a) Source # (^-^) :: (Num a, Box V3 a) => Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a) Source # lerp :: (Num a, Box V3 a) => Exp a -> Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a) Source #
Metric V3 Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods dot :: (Num a, Box V3 a) => Exp (V3 a) -> Exp (V3 a) -> Exp a Source # quadrance :: (Num a, Box V3 a) => Exp (V3 a) -> Exp a Source # qd :: (Num a, Box V3 a) => Exp (V3 a) -> Exp (V3 a) -> Exp a Source # distance :: (Floating a, Box V3 a) => Exp (V3 a) -> Exp (V3 a) -> Exp a Source # norm :: (Floating a, Box V3 a) => Exp (V3 a) -> Exp a Source # signorm :: (Floating a, Box V3 a) => Exp (V3 a) -> Exp (V3 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 #
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 #
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 #
Trace V3 Source #
Instance details Defined in Data.Array.Accelerate.Linear.Trace Methods trace :: (Num a, Box2 V3 V3 a) => Exp (V3 (V3 a)) -> Exp a Source # diagonal :: Box2 V3 V3 a => Exp (V3 (V3 a)) -> Exp (V3 a) Source #
(Lift Exp a, Elt (Plain a)) => Lift Exp (V3 a) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Associated Types type Plain (V3 a) :: Type # Methods lift :: V3 a -> Exp (Plain (V3 a)) #
Elt a => Unlift Exp (V3 (Exp a)) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods unlift :: Exp (Plain (V3 (Exp a))) -> V3 (Exp a) #
Unbox a => Vector Vector (V3 a)
Instance details Defined in Linear.V3 Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) (V3 a) -> m (Vector (V3 a)) # basicUnsafeThaw :: PrimMonad m => Vector (V3 a) -> m (Mutable Vector (PrimState m) (V3 a)) # basicLength :: Vector (V3 a) -> Int # basicUnsafeSlice :: Int -> Int -> Vector (V3 a) -> Vector (V3 a) # basicUnsafeIndexM :: Monad m => Vector (V3 a) -> Int -> m (V3 a) # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) (V3 a) -> Vector (V3 a) -> m () # elemseq :: Vector (V3 a) -> V3 a -> b -> b #
Unbox a => MVector MVector (V3 a)
Instance details Defined in Linear.V3 Methods basicLength :: MVector s (V3 a) -> Int # basicUnsafeSlice :: Int -> Int -> MVector s (V3 a) -> MVector s (V3 a) # basicOverlaps :: MVector s (V3 a) -> MVector s (V3 a) -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) (V3 a)) # basicInitialize :: PrimMonad m => MVector (PrimState m) (V3 a) -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> V3 a -> m (MVector (PrimState m) (V3 a)) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) (V3 a) -> Int -> m (V3 a) # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) (V3 a) -> Int -> V3 a -> m () # basicClear :: PrimMonad m => MVector (PrimState m) (V3 a) -> m () # basicSet :: PrimMonad m => MVector (PrimState m) (V3 a) -> V3 a -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) (V3 a) -> MVector (PrimState m) (V3 a) -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) (V3 a) -> MVector (PrimState m) (V3 a) -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) (V3 a) -> Int -> m (MVector (PrimState m) (V3 a)) #
Bounded a => Bounded (Exp (V3 a)) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods minBound :: Exp (V3 a) # maxBound :: Exp (V3 a) #
Bounded a => Bounded (V3 a)
Instance details Defined in Linear.V3 Methods minBound :: V3 a # maxBound :: V3 a #
Eq a => Eq (V3 a)
Instance details Defined in Linear.V3 Methods (==) :: V3 a -> V3 a -> Bool # (/=) :: V3 a -> V3 a -> Bool #
Floating a => Floating (Exp (V3 a)) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods pi :: Exp (V3 a) # exp :: Exp (V3 a) -> Exp (V3 a) # log :: Exp (V3 a) -> Exp (V3 a) # sqrt :: Exp (V3 a) -> Exp (V3 a) # (**) :: Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a) # logBase :: Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a) # sin :: Exp (V3 a) -> Exp (V3 a) # cos :: Exp (V3 a) -> Exp (V3 a) # tan :: Exp (V3 a) -> Exp (V3 a) # asin :: Exp (V3 a) -> Exp (V3 a) # acos :: Exp (V3 a) -> Exp (V3 a) # atan :: Exp (V3 a) -> Exp (V3 a) # sinh :: Exp (V3 a) -> Exp (V3 a) # cosh :: Exp (V3 a) -> Exp (V3 a) # tanh :: Exp (V3 a) -> Exp (V3 a) # asinh :: Exp (V3 a) -> Exp (V3 a) # acosh :: Exp (V3 a) -> Exp (V3 a) # atanh :: Exp (V3 a) -> Exp (V3 a) # log1p :: Exp (V3 a) -> Exp (V3 a) # expm1 :: Exp (V3 a) -> Exp (V3 a) # log1pexp :: Exp (V3 a) -> Exp (V3 a) # log1mexp :: Exp (V3 a) -> Exp (V3 a) #
Floating a => Floating (V3 a)
Instance details Defined in Linear.V3 Methods pi :: V3 a # exp :: V3 a -> V3 a # log :: V3 a -> V3 a # sqrt :: V3 a -> V3 a # (**) :: V3 a -> V3 a -> V3 a # logBase :: V3 a -> V3 a -> V3 a # sin :: V3 a -> V3 a # cos :: V3 a -> V3 a # tan :: V3 a -> V3 a # asin :: V3 a -> V3 a # acos :: V3 a -> V3 a # atan :: V3 a -> V3 a # sinh :: V3 a -> V3 a # cosh :: V3 a -> V3 a # tanh :: V3 a -> V3 a # asinh :: V3 a -> V3 a # acosh :: V3 a -> V3 a # atanh :: V3 a -> V3 a # log1p :: V3 a -> V3 a # expm1 :: V3 a -> V3 a # log1pexp :: V3 a -> V3 a # log1mexp :: V3 a -> V3 a #
Floating a => Fractional (Exp (V3 a)) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods (/) :: Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a) # recip :: Exp (V3 a) -> Exp (V3 a) # fromRational :: Rational -> Exp (V3 a) #
Fractional a => Fractional (V3 a)
Instance details Defined in Linear.V3 Methods (/) :: V3 a -> V3 a -> V3 a # recip :: V3 a -> V3 a # fromRational :: Rational -> V3 a #
Data a => Data (V3 a)
Instance details Defined in Linear.V3 Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> V3 a -> c (V3 a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V3 a) # toConstr :: V3 a -> Constr # dataTypeOf :: V3 a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V3 a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V3 a)) # gmapT :: (forall b. Data b => b -> b) -> V3 a -> V3 a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V3 a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V3 a -> r # gmapQ :: (forall d. Data d => d -> u) -> V3 a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> V3 a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> V3 a -> m (V3 a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> V3 a -> m (V3 a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> V3 a -> m (V3 a) #
Num a => Num (Exp (V3 a)) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods (+) :: Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a) # (-) :: Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a) # (*) :: Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a) # negate :: Exp (V3 a) -> Exp (V3 a) # abs :: Exp (V3 a) -> Exp (V3 a) # signum :: Exp (V3 a) -> Exp (V3 a) # fromInteger :: Integer -> Exp (V3 a) #
Num a => Num (V3 a)
Instance details Defined in Linear.V3 Methods (+) :: V3 a -> V3 a -> V3 a # (-) :: V3 a -> V3 a -> V3 a # (*) :: V3 a -> V3 a -> V3 a # negate :: V3 a -> V3 a # abs :: V3 a -> V3 a # signum :: V3 a -> V3 a # fromInteger :: Integer -> V3 a #
Ord a => Ord (V3 a)
Instance details Defined in Linear.V3 Methods compare :: V3 a -> V3 a -> Ordering # (<) :: V3 a -> V3 a -> Bool # (<=) :: V3 a -> V3 a -> Bool # (>) :: V3 a -> V3 a -> Bool # (>=) :: V3 a -> V3 a -> Bool # max :: V3 a -> V3 a -> V3 a # min :: V3 a -> V3 a -> V3 a #
Read a => Read (V3 a)
Instance details Defined in Linear.V3 Methods readsPrec :: Int -> ReadS (V3 a) # readList :: ReadS [V3 a] # readPrec :: ReadPrec (V3 a) # readListPrec :: ReadPrec [V3 a] #
Show a => Show (V3 a)
Instance details Defined in Linear.V3 Methods showsPrec :: Int -> V3 a -> ShowS # show :: V3 a -> String # showList :: [V3 a] -> ShowS #
Ix a => Ix (V3 a)
Instance details Defined in Linear.V3 Methods range :: (V3 a, V3 a) -> [V3 a] # index :: (V3 a, V3 a) -> V3 a -> Int # unsafeIndex :: (V3 a, V3 a) -> V3 a -> Int inRange :: (V3 a, V3 a) -> V3 a -> Bool # rangeSize :: (V3 a, V3 a) -> Int # unsafeRangeSize :: (V3 a, V3 a) -> Int
Generic (V3 a)
Instance details Defined in Linear.V3 Associated Types type Rep (V3 a) :: Type -> Type # Methods from :: V3 a -> Rep (V3 a) x # to :: Rep (V3 a) x -> V3 a #
Semigroup a => Semigroup (V3 a)
Instance details Defined in Linear.V3 Methods (<>) :: V3 a -> V3 a -> V3 a # sconcat :: NonEmpty (V3 a) -> V3 a # stimes :: Integral b => b -> V3 a -> V3 a #
Monoid a => Monoid (V3 a)
Instance details Defined in Linear.V3 Methods mempty :: V3 a # mappend :: V3 a -> V3 a -> V3 a # mconcat :: [V3 a] -> V3 a #
Lift a => Lift (V3 a)
Instance details Defined in Linear.V3 Methods lift :: V3 a -> Q Exp #
Ord a => Ord (V3 a) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods (<) :: Exp (V3 a) -> Exp (V3 a) -> Exp Bool # (>) :: Exp (V3 a) -> Exp (V3 a) -> Exp Bool # (<=) :: Exp (V3 a) -> Exp (V3 a) -> Exp Bool # (>=) :: Exp (V3 a) -> Exp (V3 a) -> Exp Bool # min :: Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a) # max :: Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a) # compare :: Exp (V3 a) -> Exp (V3 a) -> Exp Ordering #
Eq a => Eq (V3 a) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods (==) :: Exp (V3 a) -> Exp (V3 a) -> Exp Bool # (/=) :: Exp (V3 a) -> Exp (V3 a) -> Exp Bool #
Elt a => Elt (V3 a) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Associated Types type EltR (V3 a) :: Type Methods eltR :: TypeR (EltR (V3 a)) tagsR :: [TagR (EltR (V3 a))] fromElt :: V3 a -> EltR (V3 a) toElt :: EltR (V3 a) -> V3 a
Storable a => Storable (V3 a)
Instance details Defined in Linear.V3 Methods sizeOf :: V3 a -> Int # alignment :: V3 a -> Int # peekElemOff :: Ptr (V3 a) -> Int -> IO (V3 a) # pokeElemOff :: Ptr (V3 a) -> Int -> V3 a -> IO () # peekByteOff :: Ptr b -> Int -> IO (V3 a) # pokeByteOff :: Ptr b -> Int -> V3 a -> IO () # peek :: Ptr (V3 a) -> IO (V3 a) # poke :: Ptr (V3 a) -> V3 a -> IO () #
Binary a => Binary (V3 a)
Instance details Defined in Linear.V3 Methods put :: V3 a -> Put # get :: Get (V3 a) # putList :: [V3 a] -> Put #
Serial a => Serial (V3 a)
Instance details Defined in Linear.V3 Methods serialize :: MonadPut m => V3 a -> m () # deserialize :: MonadGet m => m (V3 a) #
Serialize a => Serialize (V3 a)
Instance details Defined in Linear.V3 Methods put :: Putter (V3 a) # get :: Get (V3 a) #
NFData a => NFData (V3 a)
Instance details Defined in Linear.V3 Methods rnf :: V3 a -> () #
Hashable a => Hashable (V3 a)
Instance details Defined in Linear.V3 Methods hashWithSalt :: Int -> V3 a -> Int # hash :: V3 a -> Int #
Unbox a => Unbox (V3 a)
Instance details Defined in Linear.V3
Ixed (V3 a)
Instance details Defined in Linear.V3 Methods ix :: Index (V3 a) -> Traversal' (V3 a) (IxValue (V3 a)) #
Epsilon a => Epsilon (V3 a)
Instance details Defined in Linear.V3 Methods nearZero :: V3 a -> Bool #
Random a => Random (V3 a)
Instance details Defined in Linear.V3 Methods randomR :: RandomGen g => (V3 a, V3 a) -> g -> (V3 a, g) # random :: RandomGen g => g -> (V3 a, g) # randomRs :: RandomGen g => (V3 a, V3 a) -> g -> [V3 a] # randoms :: RandomGen g => g -> [V3 a] # randomRIO :: (V3 a, V3 a) -> IO (V3 a) # randomIO :: IO (V3 a) #
Epsilon a => Epsilon (V3 a) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods nearZero :: Exp (V3 a) -> Exp Bool Source #
Generic1 V3
Instance details Defined in Linear.V3 Associated Types type Rep1 V3 :: k -> Type # Methods from1 :: V3 a -> Rep1 V3 a # to1 :: Rep1 V3 a -> V3 a #
FunctorWithIndex (E V3) V3
Instance details Defined in Linear.V3 Methods imap :: (E V3 -> a -> b) -> V3 a -> V3 b # imapped :: IndexedSetter (E V3) (V3 a) (V3 b) a b #
FoldableWithIndex (E V3) V3
Instance details Defined in Linear.V3 Methods ifoldMap :: Monoid m => (E V3 -> a -> m) -> V3 a -> m # ifolded :: IndexedFold (E V3) (V3 a) a # ifoldr :: (E V3 -> a -> b -> b) -> b -> V3 a -> b # ifoldl :: (E V3 -> b -> a -> b) -> b -> V3 a -> b # ifoldr' :: (E V3 -> a -> b -> b) -> b -> V3 a -> b # ifoldl' :: (E V3 -> b -> a -> b) -> b -> V3 a -> b #
TraversableWithIndex (E V3) V3
Instance details Defined in Linear.V3 Methods itraverse :: Applicative f => (E V3 -> a -> f b) -> V3 a -> f (V3 b) # itraversed :: IndexedTraversal (E V3) (V3 a) (V3 b) a b #
Each (V3 a) (V3 b) a b
Instance details Defined in Linear.V3 Methods each :: Traversal (V3 a) (V3 b) a b #
Field1 (V3 a) (V3 a) a a
Instance details Defined in Linear.V3 Methods _1 :: Lens (V3 a) (V3 a) a a #
Field2 (V3 a) (V3 a) a a
Instance details Defined in Linear.V3 Methods _2 :: Lens (V3 a) (V3 a) a a #
Field3 (V3 a) (V3 a) a a
Instance details Defined in Linear.V3 Methods _3 :: Lens (V3 a) (V3 a) a a #
(Elt a, Elt b) => Each (Exp (V3 a)) (Exp (V3 b)) (Exp a) (Exp b) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 Methods each :: Traversal (Exp (V3 a)) (Exp (V3 b)) (Exp a) (Exp b) #
type Rep V3
Instance details Defined in Linear.V3 type Rep V3 = E V3
type Size V3
Instance details Defined in Linear.V3 type Size V3 = 3
data MVector s (V3 a)
Instance details Defined in Linear.V3 data MVector s (V3 a) = MV_V3 !Int !(MVector s a)
type Rep (V3 a)
Instance details Defined in Linear.V3 type Rep (V3 a) = D1 (MetaData "V3" "Linear.V3" "linear-1.21.1-GSRtap511Ww6RirKx1xviJ" False) (C1 (MetaCons "V3" 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))))
type EltR (V3 a)
Instance details Defined in Data.Array.Accelerate.Linear.V3 type EltR (V3 a) = GEltR () (Rep (V3 a))
type Plain (V3 a) Source #
Instance details Defined in Data.Array.Accelerate.Linear.V3 type Plain (V3 a) = V3 (Plain a)
data Vector (V3 a)
Instance details Defined in Linear.V3 data Vector (V3 a) = V_V3 !Int !(Vector a)
type Index (V3 a)
Instance details Defined in Linear.V3 type Index (V3 a) = E V3
type IxValue (V3 a)
Instance details Defined in Linear.V3 type IxValue (V3 a) = a
type Rep1 V3
Instance details Defined in Linear.V3 type Rep1 V3 = D1 (MetaData "V3" "Linear.V3" "linear-1.21.1-GSRtap511Ww6RirKx1xviJ" False) (C1 (MetaCons "V3" 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)))

pattern V3_ :: Elt a => Exp a -> Exp a -> Exp a -> Exp (V3 a) Source #

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

cross product

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

scalar triple product

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 #

ex :: R1 t => E t Source #

ey :: R2 t => E t Source #

ez :: R3 t => E t Source #

Orphan instances

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