Copyright	(C) 2012-2015 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	experimental
Portability	non-portable
Safe Haskell	Trustworthy
Language	Haskell2010

Linear.V3

Description

3-D Vectors

Synopsis

data V3 a = V3 !a !a !a
cross :: Num a => V3 a -> V3 a -> V3 a
triple :: Num a => V3 a -> V3 a -> V3 a -> a
class R1 t where
- _x :: Lens' (t a) a
class R1 t => R2 t where
- _y :: Lens' (t a) a
- _xy :: Lens' (t a) (V2 a)
_yx :: R2 t => Lens' (t a) (V2 a)
class R2 t => R3 t where
- _z :: Lens' (t a) a
- _xyz :: Lens' (t a) (V3 a)
_xz :: R3 t => Lens' (t a) (V2 a)
_yz :: R3 t => Lens' (t a) (V2 a)
_zx :: R3 t => Lens' (t a) (V2 a)
_zy :: R3 t => Lens' (t a) (V2 a)
_xzy :: R3 t => Lens' (t a) (V3 a)
_yxz :: R3 t => Lens' (t a) (V3 a)
_yzx :: R3 t => Lens' (t a) (V3 a)
_zxy :: R3 t => Lens' (t a) (V3 a)
_zyx :: R3 t => Lens' (t a) (V3 a)
ex :: R1 t => E t
ey :: R2 t => E t
ez :: R3 t => E t

Documentation

data V3 a Source #

A 3-dimensional vector

Constructors

V3 !a !a !a

Instances

Instances details

Monad V3 Source #
Instance details Defined in Linear.V3 Methods (>>=) :: V3 a -> (a -> V3 b) -> V3 b (>>) :: V3 a -> V3 b -> V3 b return :: a -> V3 a
Functor V3 Source #
Instance details Defined in Linear.V3 Methods fmap :: (a -> b) -> V3 a -> V3 b # (<$) :: a -> V3 b -> V3 a #
MonadFix V3 Source #
Instance details Defined in Linear.V3 Methods mfix :: (a -> V3 a) -> V3 a
Applicative V3 Source #
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 Source #
Instance details Defined in Linear.V3 Methods fold :: Monoid m => V3 m -> m foldMap :: Monoid m => (a -> m) -> V3 a -> 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 Source #
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)
Show1 V3 Source #
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
Read1 V3 Source #
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]
Ord1 V3 Source #
Instance details Defined in Linear.V3 Methods liftCompare :: (a -> b -> Ordering) -> V3 a -> V3 b -> Ordering
Eq1 V3 Source #
Instance details Defined in Linear.V3 Methods liftEq :: (a -> b -> Bool) -> V3 a -> V3 b -> Bool
MonadZip V3 Source #
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)
Traversable1 V3 Source #
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)
Hashable1 V3 Source #
Instance details Defined in Linear.V3 Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> V3 a -> Int
Additive V3 Source #
Instance details Defined in Linear.V3 Methods zero :: Num a => V3 a Source # (^+^) :: Num a => V3 a -> V3 a -> V3 a Source # (^-^) :: Num a => V3 a -> V3 a -> V3 a Source # lerp :: Num a => a -> V3 a -> V3 a -> V3 a Source # liftU2 :: (a -> a -> a) -> V3 a -> V3 a -> V3 a Source # liftI2 :: (a -> b -> c) -> V3 a -> V3 b -> V3 c Source #
Apply V3 Source #
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
Distributive V3 Source #
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)
Bind V3 Source #
Instance details Defined in Linear.V3 Methods (>>-) :: V3 a -> (a -> V3 b) -> V3 b join :: V3 (V3 a) -> V3 a
Metric V3 Source #
Instance details Defined in Linear.V3 Methods dot :: Num a => V3 a -> V3 a -> a Source # quadrance :: Num a => V3 a -> a Source # qd :: Num a => V3 a -> V3 a -> a Source # distance :: Floating a => V3 a -> V3 a -> a Source # norm :: Floating a => V3 a -> a Source # signorm :: Floating a => V3 a -> V3 a Source #
Serial1 V3 Source #
Instance details Defined in Linear.V3 Methods serializeWith :: MonadPut m => (a -> m ()) -> V3 a -> m () deserializeWith :: MonadGet m => m a -> m (V3 a)
Representable V3 Source #
Instance details Defined in Linear.V3 Associated Types type Rep V3 Methods tabulate :: (Rep V3 -> a) -> V3 a index :: V3 a -> Rep V3 -> a
Foldable1 V3 Source #
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
Finite V3 Source #
Instance details Defined in Linear.V3 Associated Types type Size V3 :: Nat Source # Methods toV :: V3 a -> V (Size V3) a Source # fromV :: V (Size V3) a -> V3 a Source #
R1 V3 Source #
Instance details Defined in Linear.V3 Methods _x :: Lens' (V3 a) a Source #
R2 V3 Source #
Instance details Defined in Linear.V3 Methods _y :: Lens' (V3 a) a Source # _xy :: Lens' (V3 a) (V2 a) Source #
R3 V3 Source #
Instance details Defined in Linear.V3 Methods _z :: Lens' (V3 a) a Source # _xyz :: Lens' (V3 a) (V3 a) Source #
Trace V3 Source #
Instance details Defined in Linear.Trace Methods trace :: Num a => V3 (V3 a) -> a Source # diagonal :: V3 (V3 a) -> V3 a Source #
Affine V3 Source #
Instance details Defined in Linear.Affine Associated Types type Diff V3 :: Type -> Type Source # Methods (.-.) :: Num a => V3 a -> V3 a -> Diff V3 a Source # (.+^) :: Num a => V3 a -> Diff V3 a -> V3 a Source # (.-^) :: Num a => V3 a -> Diff V3 a -> V3 a Source #
Unbox a => Vector Vector (V3 a) Source #
Instance details Defined in Linear.V3 Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) (V3 a) -> m (Vector (V3 a)) Source # basicUnsafeThaw :: PrimMonad m => Vector (V3 a) -> m (Mutable Vector (PrimState m) (V3 a)) Source # basicLength :: Vector (V3 a) -> Int Source # basicUnsafeSlice :: Int -> Int -> Vector (V3 a) -> Vector (V3 a) Source # basicUnsafeIndexM :: Monad m => Vector (V3 a) -> Int -> m (V3 a) Source # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) (V3 a) -> Vector (V3 a) -> m () Source # elemseq :: Vector (V3 a) -> V3 a -> b -> b Source #
Unbox a => MVector MVector (V3 a) Source #
Instance details Defined in Linear.V3 Methods basicLength :: MVector s (V3 a) -> Int Source # basicUnsafeSlice :: Int -> Int -> MVector s (V3 a) -> MVector s (V3 a) Source # basicOverlaps :: MVector s (V3 a) -> MVector s (V3 a) -> Bool Source # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) (V3 a)) Source # basicInitialize :: PrimMonad m => MVector (PrimState m) (V3 a) -> m () Source # basicUnsafeReplicate :: PrimMonad m => Int -> V3 a -> m (MVector (PrimState m) (V3 a)) Source # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) (V3 a) -> Int -> m (V3 a) Source # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) (V3 a) -> Int -> V3 a -> m () Source # basicClear :: PrimMonad m => MVector (PrimState m) (V3 a) -> m () Source # basicSet :: PrimMonad m => MVector (PrimState m) (V3 a) -> V3 a -> m () Source # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) (V3 a) -> MVector (PrimState m) (V3 a) -> m () Source # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) (V3 a) -> MVector (PrimState m) (V3 a) -> m () Source # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) (V3 a) -> Int -> m (MVector (PrimState m) (V3 a)) Source #
Num r => Coalgebra r (E V3) Source #
Instance details Defined in Linear.Algebra Methods comult :: (E V3 -> r) -> E V3 -> E V3 -> r Source # counital :: (E V3 -> r) -> r Source #
Bounded a => Bounded (V3 a) Source #
Instance details Defined in Linear.V3 Methods minBound :: V3 a maxBound :: V3 a
Eq a => Eq (V3 a) Source #
Instance details Defined in Linear.V3 Methods (==) :: V3 a -> V3 a -> Bool (/=) :: V3 a -> V3 a -> Bool
Floating a => Floating (V3 a) Source #
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
Fractional a => Fractional (V3 a) Source #
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) Source #
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 :: forall r r'. (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) Source #
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) Source #
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) Source #
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) Source #
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) Source #
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) Source #
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) Source #
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) Source #
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) Source #
Instance details Defined in Linear.V3 Methods lift :: V3 a -> Q Exp
Storable a => Storable (V3 a) Source #
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 ()
Unbox a => Unbox (V3 a) Source #
Instance details Defined in Linear.V3
Random a => Random (V3 a) Source #
Instance details Defined in Linear.V3 Methods randomR :: RandomGen g => (V3 a, V3 a) -> g -> (V3 a, g) Source # random :: RandomGen g => g -> (V3 a, g) Source # randomRs :: RandomGen g => (V3 a, V3 a) -> g -> [V3 a] Source # randoms :: RandomGen g => g -> [V3 a] Source # randomRIO :: (V3 a, V3 a) -> IO (V3 a) Source # randomIO :: IO (V3 a) Source #
Binary a => Binary (V3 a) Source #
Instance details Defined in Linear.V3 Methods put :: V3 a -> Put get :: Get (V3 a) putList :: [V3 a] -> Put
NFData a => NFData (V3 a) Source #
Instance details Defined in Linear.V3 Methods rnf :: V3 a -> ()
Epsilon a => Epsilon (V3 a) Source #
Instance details Defined in Linear.V3 Methods nearZero :: V3 a -> Bool Source #
Ixed (V3 a) Source #
Instance details Defined in Linear.V3 Methods ix :: Index (V3 a) -> Traversal' (V3 a) (IxValue (V3 a))
Hashable a => Hashable (V3 a) Source #
Instance details Defined in Linear.V3 Methods hashWithSalt :: Int -> V3 a -> Int hash :: V3 a -> Int
Serial a => Serial (V3 a) Source #
Instance details Defined in Linear.V3 Methods serialize :: MonadPut m => V3 a -> m () deserialize :: MonadGet m => m (V3 a)
Serialize a => Serialize (V3 a) Source #
Instance details Defined in Linear.V3 Methods put :: Putter (V3 a) get :: Get (V3 a)
Generic1 V3 Source #
Instance details Defined in Linear.V3 Associated Types type Rep1 V3 :: k -> Type Methods from1 :: forall (a :: k). V3 a -> Rep1 V3 a to1 :: forall (a :: k). Rep1 V3 a -> V3 a
FoldableWithIndex (E V3) V3 Source #
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
FunctorWithIndex (E V3) V3 Source #
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
TraversableWithIndex (E V3) V3 Source #
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 Source #
Instance details Defined in Linear.V3 Methods each :: Traversal (V3 a) (V3 b) a b
Field1 (V3 a) (V3 a) a a Source #
Instance details Defined in Linear.V3 Methods _1 :: Lens (V3 a) (V3 a) a a
Field2 (V3 a) (V3 a) a a Source #
Instance details Defined in Linear.V3 Methods _2 :: Lens (V3 a) (V3 a) a a
Field3 (V3 a) (V3 a) a a Source #
Instance details Defined in Linear.V3 Methods _3 :: Lens (V3 a) (V3 a) a a
type Rep V3 Source #
Instance details Defined in Linear.V3 type Rep V3 = E V3
type Size V3 Source #
Instance details Defined in Linear.V3 type Size V3 = 3
type Diff V3 Source #
Instance details Defined in Linear.Affine type Diff V3 = V3
data MVector s (V3 a) Source #
Instance details Defined in Linear.V3 data MVector s (V3 a) = MV_V3 !Int !(MVector s a)
type Rep (V3 a) Source #
Instance details Defined in Linear.V3 type Rep (V3 a) = D1 ('MetaData "V3" "Linear.V3" "linear-1.21.1-ILvJ7ath0ShCdBBZlFlbTo" '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))))
data Vector (V3 a) Source #
Instance details Defined in Linear.V3 data Vector (V3 a) = V_V3 !Int !(Vector a)
type Index (V3 a) Source #
Instance details Defined in Linear.V3 type Index (V3 a) = E V3
type IxValue (V3 a) Source #
Instance details Defined in Linear.V3 type IxValue (V3 a) = a
type Rep1 V3 Source #
Instance details Defined in Linear.V3 type Rep1 V3 = D1 ('MetaData "V3" "Linear.V3" "linear-1.21.1-ILvJ7ath0ShCdBBZlFlbTo" '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)))

cross :: Num a => V3 a -> V3 a -> V3 a Source #

cross product

triple :: Num a => V3 a -> V3 a -> V3 a -> a Source #

scalar triple product

class R1 t where Source #

A space that has at least 1 basis vector _x.

Methods

_x :: Lens' (t a) a Source #

>>> V1 2 ^._x
2

>>> V1 2 & _x .~ 3
V1 3

Instances

Instances details

R1 Identity Source #
Instance details Defined in Linear.V1 Methods _x :: Lens' (Identity a) a Source #
R1 V1 Source #
Instance details Defined in Linear.V1 Methods _x :: Lens' (V1 a) a Source #
R1 V2 Source #
Instance details Defined in Linear.V2 Methods _x :: Lens' (V2 a) a Source #
R1 V3 Source #
Instance details Defined in Linear.V3 Methods _x :: Lens' (V3 a) a Source #
R1 V4 Source #
Instance details Defined in Linear.V4 Methods _x :: Lens' (V4 a) a Source #
R1 Quaternion Source #
Instance details Defined in Linear.Quaternion Methods _x :: Lens' (Quaternion a) a Source #
R1 f => R1 (Point f) Source #
Instance details Defined in Linear.Affine Methods _x :: Lens' (Point f a) a Source #

class R1 t => R2 t where Source #

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

Minimal complete definition

_xy

Methods

_y :: Lens' (t a) a Source #

>>> V2 1 2 ^._y
2

>>> V2 1 2 & _y .~ 3
V2 1 3

_xy :: Lens' (t a) (V2 a) Source #

Instances

Instances details

R2 V2 Source #
Instance details Defined in Linear.V2 Methods _y :: Lens' (V2 a) a Source # _xy :: Lens' (V2 a) (V2 a) Source #
R2 V3 Source #
Instance details Defined in Linear.V3 Methods _y :: Lens' (V3 a) a Source # _xy :: Lens' (V3 a) (V2 a) Source #
R2 V4 Source #
Instance details Defined in Linear.V4 Methods _y :: Lens' (V4 a) a Source # _xy :: Lens' (V4 a) (V2 a) Source #
R2 Quaternion Source #
Instance details Defined in Linear.Quaternion Methods _y :: Lens' (Quaternion a) a Source # _xy :: Lens' (Quaternion a) (V2 a) Source #
R2 f => R2 (Point f) Source #
Instance details Defined in Linear.Affine Methods _y :: Lens' (Point f a) a Source # _xy :: Lens' (Point f a) (V2 a) Source #

_yx :: R2 t => Lens' (t a) (V2 a) Source #

>>> V2 1 2 ^. _yx
V2 2 1

class R2 t => R3 t where Source #

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

Methods

_z :: Lens' (t a) a Source #

>>> V3 1 2 3 ^. _z
3

_xyz :: Lens' (t a) (V3 a) Source #

Instances

Instances details

R3 V3 Source #
Instance details Defined in Linear.V3 Methods _z :: Lens' (V3 a) a Source # _xyz :: Lens' (V3 a) (V3 a) Source #
R3 V4 Source #
Instance details Defined in Linear.V4 Methods _z :: Lens' (V4 a) a Source # _xyz :: Lens' (V4 a) (V3 a) Source #
R3 Quaternion Source #
Instance details Defined in Linear.Quaternion Methods _z :: Lens' (Quaternion a) a Source # _xyz :: Lens' (Quaternion a) (V3 a) Source #
R3 f => R3 (Point f) Source #
Instance details Defined in Linear.Affine Methods _z :: Lens' (Point f a) a Source # _xyz :: Lens' (Point f a) (V3 a) Source #

_xz :: R3 t => Lens' (t a) (V2 a) Source #

_yz :: R3 t => Lens' (t a) (V2 a) Source #

_zx :: R3 t => Lens' (t a) (V2 a) Source #

_zy :: R3 t => Lens' (t a) (V2 a) Source #

_xzy :: R3 t => Lens' (t a) (V3 a) Source #

_yxz :: R3 t => Lens' (t a) (V3 a) Source #

_yzx :: R3 t => Lens' (t a) (V3 a) Source #

_zxy :: R3 t => Lens' (t a) (V3 a) Source #

_zyx :: R3 t => Lens' (t a) (V3 a) Source #

ex :: R1 t => E t Source #

ey :: R2 t => E t Source #

ez :: R3 t => E t Source #