Data.Array.Accelerate.Linear.V4

4-D Vectors

Documentation

data V4 a :: * -> *

A 4-dimensional vector.

Constructors

V4 ~a ~a ~a ~a

Instances

Monad 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

Methods

fmap :: (a -> b) -> V4 a -> V4 b

(<$) :: a -> V4 b -> V4 a

MonadFix V4

Methods

mfix :: (a -> V4 a) -> V4 a

Applicative V4

Methods

pure :: a -> V4 a

(<*>) :: V4 (a -> b) -> V4 a -> V4 b

(*>) :: V4 a -> V4 b -> V4 b

(<*) :: V4 a -> V4 b -> V4 a

Foldable 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

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)

Generic1 V4

Associated Types

type Rep1 (V4 :: * -> *) :: * -> *

Methods

from1 :: V4 a -> Rep1 V4 a

to1 :: Rep1 V4 a -> V4 a

Distributive 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

Associated Types

type Rep (V4 :: * -> *) :: *

Methods

tabulate :: (Rep V4 -> a) -> V4 a

index :: V4 a -> Rep V4 -> a

Eq1 V4

Methods

liftEq :: (a -> b -> Bool) -> V4 a -> V4 b -> Bool

Ord1 V4

Methods

liftCompare :: (a -> b -> Ordering) -> V4 a -> V4 b -> Ordering

Read1 V4

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (V4 a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [V4 a]

Show1 V4

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V4 a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [V4 a] -> ShowS

MonadZip 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

Methods

serializeWith :: MonadPut m => (a -> m ()) -> V4 a -> m ()

deserializeWith :: MonadGet m => m a -> m (V4 a)

Traversable1 V4

Methods

traverse1 :: Apply f => (a -> f b) -> V4 a -> f (V4 b)

sequence1 :: Apply f => V4 (f b) -> f (V4 b)

Trace V4

Methods

trace :: Num a => V4 (V4 a) -> a

diagonal :: V4 (V4 a) -> V4 a

R4 V4

Methods

_w :: Functor f => (a -> f a) -> V4 a -> f (V4 a)

_xyzw :: Functor f => (V4 a -> f (V4 a)) -> V4 a -> f (V4 a)

R3 V4

Methods

_z :: Functor f => (a -> f a) -> V4 a -> f (V4 a)

_xyz :: Functor f => (V3 a -> f (V3 a)) -> V4 a -> f (V4 a)

R2 V4

Methods

_y :: Functor f => (a -> f a) -> V4 a -> f (V4 a)

_xy :: Functor f => (V2 a -> f (V2 a)) -> V4 a -> f (V4 a)

R1 V4

Methods

_x :: Functor f => (a -> f a) -> V4 a -> f (V4 a)

Finite V4

Associated Types

type Size (V4 :: * -> *) :: Nat

Methods

toV :: V4 a -> V Nat (Size V4) a

fromV :: V Nat (Size V4) a -> V4 a

Metric 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

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

Apply V4

Methods

(<.>) :: V4 (a -> b) -> V4 a -> V4 b

(.>) :: V4 a -> V4 b -> V4 b

(<.) :: V4 a -> V4 b -> V4 a

Bind V4

Methods

(>>-) :: V4 a -> (a -> V4 b) -> V4 b

join :: V4 (V4 a) -> V4 a

Foldable1 V4

Methods

fold1 :: Semigroup m => V4 m -> m

foldMap1 :: Semigroup m => (a -> m) -> V4 a -> m

toNonEmpty :: V4 a -> NonEmpty a

R4 V4

Methods

_w :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a)

_xyzw :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp (V4 a))

Trace V4

Methods

trace :: (Num a, Box2 V4 V4 a) => Exp (V4 (V4 a)) -> Exp a

diagonal :: Box2 V4 V4 a => Exp (V4 (V4 a)) -> Exp (V4 a)

Unbox a => Vector Vector (V4 a)

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)

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 (V4 a)

Methods

minBound :: V4 a

maxBound :: V4 a

Eq a => Eq (V4 a)

Methods

(==) :: V4 a -> V4 a -> Bool

(/=) :: V4 a -> V4 a -> Bool

Floating a => Floating (V4 a)

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

Fractional a => Fractional (V4 a)

Methods

(/) :: V4 a -> V4 a -> V4 a

recip :: V4 a -> V4 a

fromRational :: Rational -> V4 a

Data a => Data (V4 a)

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 (V4 a)

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)

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)

Methods

readsPrec :: Int -> ReadS (V4 a)

readList :: ReadS [V4 a]

readPrec :: ReadPrec (V4 a)

readListPrec :: ReadPrec [V4 a]

Show a => Show (V4 a)

Methods

showsPrec :: Int -> V4 a -> ShowS

show :: V4 a -> String

showList :: [V4 a] -> ShowS

Ix a => Ix (V4 a)

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)

Associated Types

type Rep (V4 a) :: * -> *

Methods

from :: V4 a -> Rep (V4 a) x

to :: Rep (V4 a) x -> V4 a

Storable a => Storable (V4 a)

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)

Methods

put :: V4 a -> Put

get :: Get (V4 a)

putList :: [V4 a] -> Put

Serial a => Serial (V4 a)

Methods

serialize :: MonadPut m => V4 a -> m ()

deserialize :: MonadGet m => m (V4 a)

Serialize a => Serialize (V4 a)

Methods

put :: Putter (V4 a)

get :: Get (V4 a)

NFData a => NFData (V4 a)

Methods

rnf :: V4 a -> ()

Hashable a => Hashable (V4 a)

Methods

hashWithSalt :: Int -> V4 a -> Int

hash :: V4 a -> Int

Unbox a => Unbox (V4 a)

Ixed (V4 a)

Methods

ix :: Index (V4 a) -> Traversal' (V4 a) (IxValue (V4 a))

Epsilon a => Epsilon (V4 a)

Methods

nearZero :: V4 a -> Bool

FunctorWithIndex (E V4) V4

Methods

imap :: (E V4 -> a -> b) -> V4 a -> V4 b

imapped :: (Indexable (E V4) p, Settable f) => p a (f b) -> V4 a -> f (V4 b)

FoldableWithIndex (E V4) V4

Methods

ifoldMap :: Monoid m => (E V4 -> a -> m) -> V4 a -> m

ifolded :: (Indexable (E V4) p, Contravariant f, Applicative f) => p a (f a) -> V4 a -> f (V4 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

Methods

itraverse :: Applicative f => (E V4 -> a -> f b) -> V4 a -> f (V4 b)

itraversed :: (Indexable (E V4) p, Applicative f) => p a (f b) -> V4 a -> f (V4 b)

Each (V4 a) (V4 b) a b

Methods

each :: Traversal (V4 a) (V4 b) a b

type Rep1 V4

type Rep1 V4 = D1 (MetaData "V4" "Linear.V4" "linear-1.20.7-LM9jZhdWZ2yIxbtdhUjC67" False) (C1 (MetaCons "V4" PrefixI False) ((:*:) ((:*:) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) Par1) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) Par1)) ((:*:) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) Par1) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) Par1))))

type Rep V4

type Rep V4 = E V4

type Size V4

type Size V4 = 4

data MVector s (V4 a)

data MVector s (V4 a) = MV_V4 ~Int ~(MVector s a)

type Rep (V4 a)

type Rep (V4 a) = D1 (MetaData "V4" "Linear.V4" "linear-1.20.7-LM9jZhdWZ2yIxbtdhUjC67" False) (C1 (MetaCons "V4" PrefixI False) ((:*:) ((:*:) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) (Rec0 a)) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) (Rec0 a))) ((:*:) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) (Rec0 a)) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) (Rec0 a)))))

type EltRepr (V4 a)

type EltRepr (V4 a) = EltRepr (a, a, a, a)

type ProdRepr (V4 a)

type ProdRepr (V4 a) = ProdRepr (a, a, a, a)

type Plain (V4 a)

type Plain (V4 a) = V4 (Plain a)

data Vector (V4 a)

data Vector (V4 a) = V_V4 ~Int ~(Vector a)

type Index (V4 a)

type Index (V4 a) = E V4

type IxValue (V4 a)

type IxValue (V4 a) = a

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

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

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

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

normalizePoint :: forall a. Floating a => Exp (V4 a) -> Exp (V3 a)

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

A space that has at least 1 basis vector _x.

Methods

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

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

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

Instances

R1 V1

Methods

_x :: (Elt a, Box V1 a) => Lens' (Exp (V1 a)) (Exp a)

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

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

Methods

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

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

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

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

Instances

R2 V2

Methods

_y :: (Elt a, Box V2 a) => Lens' (Exp (V2 a)) (Exp a)

_xy :: (Elt a, Box V2 a) => Lens' (Exp (V2 a)) (Exp (V2 a))

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

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

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

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

Methods

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

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

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

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

Instances

R3 V3

Methods

_z :: (Elt a, Box V3 a) => Lens' (Exp (V3 a)) (Exp a)

_xyz :: (Elt a, Box V3 a) => Lens' (Exp (V3 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

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

Methods

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

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

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

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

Instances

R4 V4

Methods

_w :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a)

_xyzw :: (Elt a, Box V4 a) => Lens' (Exp (V4 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

Orphan instances

Additive V4

Methods

zero :: (Elt (V4 a), Num a) => Exp (V4 a)

(^+^) :: (Num a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a)

(^-^) :: (Num a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a)

lerp :: (Num a, Box V4 a) => Exp a -> Exp (V4 a) -> Exp (V4 a) -> Exp (V4 a)

Metric V4

Methods

dot :: (Num a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp a

quadrance :: (Num a, Box V4 a) => Exp (V4 a) -> Exp a

qd :: (Num a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp a

distance :: (Floating a, Box V4 a) => Exp (V4 a) -> Exp (V4 a) -> Exp a

norm :: (Floating a, Box V4 a) => Exp (V4 a) -> Exp a

signorm :: (Floating a, Box V4 a) => Exp (V4 a) -> Exp (V4 a)

R1 V4

Methods

_x :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a)

R2 V4

Methods

_y :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a)

_xy :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp (V2 a))

R3 V4

Methods

_z :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp a)

_xyz :: (Elt a, Box V4 a) => Lens' (Exp (V4 a)) (Exp (V3 a))

cst a => IsProduct cst (V4 a)

Associated Types

type ProdRepr (V4 a) :: *

Methods

fromProd :: proxy cst -> V4 a -> ProdRepr (V4 a)

toProd :: proxy cst -> ProdRepr (V4 a) -> V4 a

prod :: proxy cst -> V4 a -> ProdR cst (ProdRepr (V4 a))

(Lift Exp a, Elt (Plain a)) => Lift Exp (V4 a)

Associated Types

type Plain (V4 a) :: *

Methods

lift :: V4 a -> Exp (Plain (V4 a))

Elt a => Unlift Exp (V4 (Exp a))

Methods

unlift :: Exp (Plain (V4 (Exp a))) -> V4 (Exp a)

Floating a => Floating (Exp (V4 a))

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))

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))

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)

Elt a => Elt (V4 a)

Methods

eltType :: V4 a -> TupleType (EltRepr (V4 a))

fromElt :: V4 a -> EltRepr (V4 a)

toElt :: EltRepr (V4 a) -> V4 a

(Elt a, Elt b) => Each (Exp (V4 a)) (Exp (V4 b)) (Exp a) (Exp b)

Methods

each :: Traversal (Exp (V4 a)) (Exp (V4 b)) (Exp a) (Exp b)