Data.Array.Accelerate.Linear.V3

3-D Vectors

Documentation

data V3 a :: * -> *

A 3-dimensional vector

Constructors

V3 !a !a !a

Instances

Monad 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

Methods

fmap :: (a -> b) -> V3 a -> V3 b

(<$) :: a -> V3 b -> V3 a

MonadFix V3

Methods

mfix :: (a -> V3 a) -> V3 a

Applicative 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

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

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)

Distributive 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

Associated Types

type Rep (V3 :: * -> *) :: *

Methods

tabulate :: (Rep V3 -> a) -> V3 a

index :: V3 a -> Rep V3 -> a

Eq1 V3

Methods

liftEq :: (a -> b -> Bool) -> V3 a -> V3 b -> Bool

Ord1 V3

Methods

liftCompare :: (a -> b -> Ordering) -> V3 a -> V3 b -> Ordering

Read1 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

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V3 a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [V3 a] -> ShowS

MonadZip 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

Methods

serializeWith :: MonadPut m => (a -> m ()) -> V3 a -> m ()

deserializeWith :: MonadGet m => m a -> m (V3 a)

Apply 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

Methods

traverse1 :: Apply f => (a -> f b) -> V3 a -> f (V3 b)

sequence1 :: Apply f => V3 (f b) -> f (V3 b)

Trace V3

Methods

trace :: Num a => V3 (V3 a) -> a

diagonal :: V3 (V3 a) -> V3 a

R3 V3

Methods

_z :: Functor f => (a -> f a) -> V3 a -> f (V3 a)

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

R2 V3

Methods

_y :: Functor f => (a -> f a) -> V3 a -> f (V3 a)

_xy :: Functor f => (V2 a -> f (V2 a)) -> V3 a -> f (V3 a)

R1 V3

Methods

_x :: Functor f => (a -> f a) -> V3 a -> f (V3 a)

Finite V3

Associated Types

type Size (V3 :: * -> *) :: Nat

Methods

toV :: V3 a -> V Nat (Size V3) a

fromV :: V Nat (Size V3) a -> V3 a

Metric 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

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

Methods

fold1 :: Semigroup m => V3 m -> m

foldMap1 :: Semigroup m => (a -> m) -> V3 a -> m

toNonEmpty :: V3 a -> NonEmpty a

Bind V3

Methods

(>>-) :: V3 a -> (a -> V3 b) -> V3 b

join :: V3 (V3 a) -> V3 a

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))

Trace V3

Methods

trace :: (Num a, Box2 V3 V3 a) => Exp (V3 (V3 a)) -> Exp a

diagonal :: Box2 V3 V3 a => Exp (V3 (V3 a)) -> Exp (V3 a)

Unbox a => Vector Vector (V3 a)

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)

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 (V3 a)

Methods

minBound :: V3 a

maxBound :: V3 a

Eq a => Eq (V3 a)

Methods

(==) :: V3 a -> V3 a -> Bool

(/=) :: V3 a -> V3 a -> Bool

Floating a => Floating (V3 a)

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

Fractional a => Fractional (V3 a)

Methods

(/) :: V3 a -> V3 a -> V3 a

recip :: V3 a -> V3 a

fromRational :: Rational -> V3 a

Data a => Data (V3 a)

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 (V3 a)

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)

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)

Methods

readsPrec :: Int -> ReadS (V3 a)

readList :: ReadS [V3 a]

readPrec :: ReadPrec (V3 a)

readListPrec :: ReadPrec [V3 a]

Show a => Show (V3 a)

Methods

showsPrec :: Int -> V3 a -> ShowS

show :: V3 a -> String

showList :: [V3 a] -> ShowS

Ix a => Ix (V3 a)

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)

Associated Types

type Rep (V3 a) :: * -> *

Methods

from :: V3 a -> Rep (V3 a) x

to :: Rep (V3 a) x -> V3 a

Storable a => Storable (V3 a)

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)

Methods

put :: V3 a -> Put

get :: Get (V3 a)

putList :: [V3 a] -> Put

Serial a => Serial (V3 a)

Methods

serialize :: MonadPut m => V3 a -> m ()

deserialize :: MonadGet m => m (V3 a)

Serialize a => Serialize (V3 a)

Methods

put :: Putter (V3 a)

get :: Get (V3 a)

NFData a => NFData (V3 a)

Methods

rnf :: V3 a -> ()

Hashable a => Hashable (V3 a)

Methods

hashWithSalt :: Int -> V3 a -> Int

hash :: V3 a -> Int

Unbox a => Unbox (V3 a)

Ixed (V3 a)

Methods

ix :: Index (V3 a) -> Traversal' (V3 a) (IxValue (V3 a))

Epsilon a => Epsilon (V3 a)

Methods

nearZero :: V3 a -> Bool

Generic1 * V3

Associated Types

type Rep1 V3 (f :: V3 -> *) :: k -> *

Methods

from1 :: f a -> Rep1 V3 f a

to1 :: Rep1 V3 f a -> f a

FunctorWithIndex (E V3) V3

Methods

imap :: (E V3 -> a -> b) -> V3 a -> V3 b

imapped :: (Indexable (E V3) p, Settable f) => p a (f b) -> V3 a -> f (V3 b)

FoldableWithIndex (E V3) V3

Methods

ifoldMap :: Monoid m => (E V3 -> a -> m) -> V3 a -> m

ifolded :: (Indexable (E V3) p, Contravariant f, Applicative f) => p a (f a) -> V3 a -> f (V3 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

Methods

itraverse :: Applicative f => (E V3 -> a -> f b) -> V3 a -> f (V3 b)

itraversed :: (Indexable (E V3) p, Applicative f) => p a (f b) -> V3 a -> f (V3 b)

Each (V3 a) (V3 b) a b

Methods

each :: Traversal (V3 a) (V3 b) a b

type Rep V3

type Rep V3 = E V3

type Size V3

type Size V3 = 3

data MVector s (V3 a)

data MVector s (V3 a) = MV_V3 !Int !(MVector s a)

type Rep (V3 a)

type Rep (V3 a) = D1 * (MetaData "V3" "Linear.V3" "linear-1.20.7-A94GAJeQ1UJ94Gh1xcTI1S" False) (C1 * (MetaCons "V3" 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)))))

type EltRepr (V3 a)

type EltRepr (V3 a) = EltRepr (a, a, a)

type ProdRepr (V3 a)

type ProdRepr (V3 a) = ProdRepr (a, a, a)

type Plain (V3 a)

type Plain (V3 a) = V3 (Plain a)

data Vector (V3 a)

data Vector (V3 a) = V_V3 !Int !(Vector a)

type Index (V3 a)

type Index (V3 a) = E V3

type IxValue (V3 a)

type IxValue (V3 a) = a

type Rep1 * V3

type Rep1 * V3 = D1 * (MetaData "V3" "Linear.V3" "linear-1.20.7-A94GAJeQ1UJ94Gh1xcTI1S" False) (C1 * (MetaCons "V3" 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))))

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

cross product

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

scalar triple product

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))

ex :: R1 t => E t

ey :: R2 t => E t

ez :: R3 t => E t

Orphan instances

Functor 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)

Additive V3

Methods

zero :: (Elt (V3 a), Num a) => Exp (V3 a)

(^+^) :: (Num a, Box V3 a) => Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a)

(^-^) :: (Num a, Box V3 a) => Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a)

lerp :: (Num a, Box V3 a) => Exp a -> Exp (V3 a) -> Exp (V3 a) -> Exp (V3 a)

Metric V3

Methods

dot :: (Num a, Box V3 a) => Exp (V3 a) -> Exp (V3 a) -> Exp a

quadrance :: (Num a, Box V3 a) => Exp (V3 a) -> Exp a

qd :: (Num a, Box V3 a) => Exp (V3 a) -> Exp (V3 a) -> Exp a

distance :: (Floating a, Box V3 a) => Exp (V3 a) -> Exp (V3 a) -> Exp a

norm :: (Floating a, Box V3 a) => Exp (V3 a) -> Exp a

signorm :: (Floating a, Box V3 a) => Exp (V3 a) -> Exp (V3 a)

R1 V3

Methods

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

R2 V3

Methods

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

_xy :: (Elt a, Box V3 a) => Lens' (Exp (V3 a)) (Exp (V2 a))

cst a => IsProduct cst (V3 a)

Associated Types

type ProdRepr (V3 a) :: *

Methods

fromProd :: proxy cst -> V3 a -> ProdRepr (V3 a)

toProd :: proxy cst -> ProdRepr (V3 a) -> V3 a

prod :: proxy cst -> V3 a -> ProdR cst (ProdRepr (V3 a))

(Lift Exp a, Elt (Plain a)) => Lift Exp (V3 a)

Associated Types

type Plain (V3 a) :: *

Methods

lift :: V3 a -> Exp (Plain (V3 a))

Elt a => Unlift Exp (V3 (Exp a))

Methods

unlift :: Exp (Plain (V3 (Exp a))) -> V3 (Exp a)

Bounded a => Bounded (Exp (V3 a))

Methods

minBound :: Exp (V3 a)

maxBound :: Exp (V3 a)

Floating a => Floating (Exp (V3 a))

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))

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))

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)

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)

Methods

(==) :: Exp (V3 a) -> Exp (V3 a) -> Exp Bool

(/=) :: Exp (V3 a) -> Exp (V3 a) -> Exp Bool

Elt a => Elt (V3 a)

Methods

eltType :: V3 a -> TupleType (EltRepr (V3 a))

fromElt :: V3 a -> EltRepr (V3 a)

toElt :: EltRepr (V3 a) -> V3 a

Epsilon a => Epsilon (V3 a)

Methods

nearZero :: Exp (V3 a) -> Exp Bool

(Elt a, Elt b) => Each (Exp (V3 a)) (Exp (V3 b)) (Exp a) (Exp b)

Methods

each :: Traversal (Exp (V3 a)) (Exp (V3 b)) (Exp a) (Exp b)