Safe Haskell	None
Language	Haskell2010

Nonlinear.V4

Description

Adapted from Linear.V4

Documentation

data V4 a Source #

Constructors

V4
Fields v4x :: !a v4y :: !a v4z :: !a v4w :: !a

Instances

Instances details

Monad V4 Source #
Instance details Defined in Nonlinear.V4 Methods (>>=) :: V4 a -> (a -> V4 b) -> V4 b # (>>) :: V4 a -> V4 b -> V4 b # return :: a -> V4 a #
Functor V4 Source #
Instance details Defined in Nonlinear.V4 Methods fmap :: (a -> b) -> V4 a -> V4 b # (<$) :: a -> V4 b -> V4 a #
Applicative V4 Source #
Instance details Defined in Nonlinear.V4 Methods pure :: a -> V4 a # (<>) :: V4 (a -> b) -> V4 a -> V4 b # liftA2 :: (a -> b -> c) -> V4 a -> V4 b -> V4 c # (>) :: V4 a -> V4 b -> V4 b # (<*) :: V4 a -> V4 b -> V4 a #
Foldable V4 Source #
Instance details Defined in Nonlinear.V4 Methods fold :: Monoid m => V4 m -> m # foldMap :: Monoid m => (a -> m) -> V4 a -> 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 Source #
Instance details Defined in Nonlinear.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) #
Eq1 V4 Source #
Instance details Defined in Nonlinear.V4 Methods liftEq :: (a -> b -> Bool) -> V4 a -> V4 b -> Bool #
Ord1 V4 Source #
Instance details Defined in Nonlinear.V4 Methods liftCompare :: (a -> b -> Ordering) -> V4 a -> V4 b -> Ordering #
Read1 V4 Source #
Instance details Defined in Nonlinear.V4 Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (V4 a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [V4 a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (V4 a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [V4 a] #
Show1 V4 Source #
Instance details Defined in Nonlinear.V4 Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V4 a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [V4 a] -> ShowS #
Vec V4 Source #
Instance details Defined in Nonlinear.V4 Methods construct :: ((forall b. Lens' (V4 b) b) -> a) -> V4 a Source #
R1 V4 Source #
Instance details Defined in Nonlinear.V4 Methods _x :: Lens' (V4 a) a Source #
R2 V4 Source #
Instance details Defined in Nonlinear.V4 Methods _y :: Lens' (V4 a) a Source # _xy :: Lens' (V4 a) (V2 a) Source #
R3 V4 Source #
Instance details Defined in Nonlinear.V4 Methods _z :: Lens' (V4 a) a Source # _xyz :: Lens' (V4 a) (V3 a) Source #
R4 V4 Source #
Instance details Defined in Nonlinear.V4 Methods _w :: Lens' (V4 a) a Source # _xyzw :: Lens' (V4 a) (V4 a) Source #
Bounded a => Bounded (V4 a) Source #
Instance details Defined in Nonlinear.V4 Methods minBound :: V4 a # maxBound :: V4 a #
Eq a => Eq (V4 a) Source #
Instance details Defined in Nonlinear.V4 Methods (==) :: V4 a -> V4 a -> Bool # (/=) :: V4 a -> V4 a -> Bool #
Floating a => Floating (V4 a) Source #
Instance details Defined in Nonlinear.V4 Methods pi :: V4 a # exp :: V4 a -> V4 a # log :: V4 a -> V4 a # sqrt :: V4 a -> V4 a # (**) :: V4 a -> V4 a -> V4 a # logBase :: V4 a -> V4 a -> V4 a # sin :: V4 a -> V4 a # cos :: V4 a -> V4 a # tan :: V4 a -> V4 a # asin :: V4 a -> V4 a # acos :: V4 a -> V4 a # atan :: V4 a -> V4 a # sinh :: V4 a -> V4 a # cosh :: V4 a -> V4 a # tanh :: V4 a -> V4 a # asinh :: V4 a -> V4 a # acosh :: V4 a -> V4 a # atanh :: V4 a -> V4 a # log1p :: V4 a -> V4 a # expm1 :: V4 a -> V4 a # log1pexp :: V4 a -> V4 a # log1mexp :: V4 a -> V4 a #
Fractional a => Fractional (V4 a) Source #
Instance details Defined in Nonlinear.V4 Methods (/) :: V4 a -> V4 a -> V4 a # recip :: V4 a -> V4 a # fromRational :: Rational -> V4 a #
Data a => Data (V4 a) Source #
Instance details Defined in Nonlinear.V4 Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> V4 a -> c (V4 a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V4 a) # toConstr :: V4 a -> Constr # dataTypeOf :: V4 a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V4 a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V4 a)) # gmapT :: (forall b. Data b => b -> b) -> V4 a -> V4 a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V4 a -> r # gmapQr :: forall r r'. (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) Source #
Instance details Defined in Nonlinear.V4 Methods (+) :: V4 a -> V4 a -> V4 a # (-) :: V4 a -> V4 a -> V4 a # (*) :: V4 a -> V4 a -> V4 a # negate :: V4 a -> V4 a # abs :: V4 a -> V4 a # signum :: V4 a -> V4 a # fromInteger :: Integer -> V4 a #
Ord a => Ord (V4 a) Source #
Instance details Defined in Nonlinear.V4 Methods compare :: V4 a -> V4 a -> Ordering # (<) :: V4 a -> V4 a -> Bool # (<=) :: V4 a -> V4 a -> Bool # (>) :: V4 a -> V4 a -> Bool # (>=) :: V4 a -> V4 a -> Bool # max :: V4 a -> V4 a -> V4 a # min :: V4 a -> V4 a -> V4 a #
Read a => Read (V4 a) Source #
Instance details Defined in Nonlinear.V4 Methods readsPrec :: Int -> ReadS (V4 a) # readList :: ReadS [V4 a] # readPrec :: ReadPrec (V4 a) # readListPrec :: ReadPrec [V4 a] #
Show a => Show (V4 a) Source #
Instance details Defined in Nonlinear.V4 Methods showsPrec :: Int -> V4 a -> ShowS # show :: V4 a -> String # showList :: [V4 a] -> ShowS #
Ix a => Ix (V4 a) Source #
Instance details Defined in Nonlinear.V4 Methods range :: (V4 a, V4 a) -> [V4 a] # index :: (V4 a, V4 a) -> V4 a -> Int # unsafeIndex :: (V4 a, V4 a) -> V4 a -> Int # inRange :: (V4 a, V4 a) -> V4 a -> Bool # rangeSize :: (V4 a, V4 a) -> Int # unsafeRangeSize :: (V4 a, V4 a) -> Int #
Generic (V4 a) Source #
Instance details Defined in Nonlinear.V4 Associated Types type Rep (V4 a) :: Type -> Type # Methods from :: V4 a -> Rep (V4 a) x # to :: Rep (V4 a) x -> V4 a #
Semigroup x => Semigroup (V4 x) Source #
Instance details Defined in Nonlinear.V4 Methods (<>) :: V4 x -> V4 x -> V4 x # sconcat :: NonEmpty (V4 x) -> V4 x # stimes :: Integral b => b -> V4 x -> V4 x #
Monoid a => Monoid (V4 a) Source #
Instance details Defined in Nonlinear.V4 Methods mempty :: V4 a # mappend :: V4 a -> V4 a -> V4 a # mconcat :: [V4 a] -> V4 a #
Storable a => Storable (V4 a) Source #
Instance details Defined in Nonlinear.V4 Methods sizeOf :: V4 a -> Int # alignment :: V4 a -> Int # peekElemOff :: Ptr (V4 a) -> Int -> IO (V4 a) # pokeElemOff :: Ptr (V4 a) -> Int -> V4 a -> IO () # peekByteOff :: Ptr b -> Int -> IO (V4 a) # pokeByteOff :: Ptr b -> Int -> V4 a -> IO () # peek :: Ptr (V4 a) -> IO (V4 a) # poke :: Ptr (V4 a) -> V4 a -> IO () #
Generic1 V4 Source #
Instance details Defined in Nonlinear.V4 Associated Types type Rep1 V4 :: k -> Type # Methods from1 :: forall (a :: k). V4 a -> Rep1 V4 a # to1 :: forall (a :: k). Rep1 V4 a -> V4 a #
type Rep (V4 a) Source #
Instance details Defined in Nonlinear.V4 type Rep (V4 a) = D1 ('MetaData "V4" "Nonlinear.V4" "nonlinear-0.1.0-dd7wbAvLl3JZC37BHOks3" 'False) (C1 ('MetaCons "V4" 'PrefixI 'True) ((S1 ('MetaSel ('Just "v4x") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :: S1 ('MetaSel ('Just "v4y") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a)) :: (S1 ('MetaSel ('Just "v4z") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Just "v4w") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a))))
type Rep1 V4 Source #
Instance details Defined in Nonlinear.V4 type Rep1 V4 = D1 ('MetaData "V4" "Nonlinear.V4" "nonlinear-0.1.0-dd7wbAvLl3JZC37BHOks3" 'False) (C1 ('MetaCons "V4" 'PrefixI 'True) ((S1 ('MetaSel ('Just "v4x") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :: S1 ('MetaSel ('Just "v4y") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1) :: (S1 ('MetaSel ('Just "v4z") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Just "v4w") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1)))

class R3 t => R4 t where Source #

Methods

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

_xyzw :: Lens' (t a) (V4 a) Source #

Instances

Instances details

R4 V4 Source #
Instance details Defined in Nonlinear.V4 Methods _w :: Lens' (V4 a) a Source # _xyzw :: Lens' (V4 a) (V4 a) Source #
R4 Quaternion Source #
Instance details Defined in Nonlinear.Quaternion Methods _w :: Lens' (Quaternion a) a Source # _xyzw :: Lens' (Quaternion a) (V4 a) Source #

_xw :: R4 t => Lens' (t a) (V2 a) Source #

_yw :: R4 t => Lens' (t a) (V2 a) Source #

_zw :: R4 t => Lens' (t a) (V2 a) Source #

_wx :: R4 t => Lens' (t a) (V2 a) Source #

_wy :: R4 t => Lens' (t a) (V2 a) Source #

_wz :: R4 t => Lens' (t a) (V2 a) Source #

_xyw :: R4 t => Lens' (t a) (V3 a) Source #

_xzw :: R4 t => Lens' (t a) (V3 a) Source #

_xwy :: R4 t => Lens' (t a) (V3 a) Source #

_xwz :: R4 t => Lens' (t a) (V3 a) Source #

_yxw :: R4 t => Lens' (t a) (V3 a) Source #

_yzw :: R4 t => Lens' (t a) (V3 a) Source #

_ywx :: R4 t => Lens' (t a) (V3 a) Source #

_ywz :: R4 t => Lens' (t a) (V3 a) Source #

_zxw :: R4 t => Lens' (t a) (V3 a) Source #

_zyw :: R4 t => Lens' (t a) (V3 a) Source #

_zwx :: R4 t => Lens' (t a) (V3 a) Source #

_zwy :: R4 t => Lens' (t a) (V3 a) Source #

_wxy :: R4 t => Lens' (t a) (V3 a) Source #

_wxz :: R4 t => Lens' (t a) (V3 a) Source #

_wyx :: R4 t => Lens' (t a) (V3 a) Source #

_wyz :: R4 t => Lens' (t a) (V3 a) Source #

_wzx :: R4 t => Lens' (t a) (V3 a) Source #

_wzy :: R4 t => Lens' (t a) (V3 a) Source #

_xywz :: R4 t => Lens' (t a) (V4 a) Source #

_xzyw :: R4 t => Lens' (t a) (V4 a) Source #

_xzwy :: R4 t => Lens' (t a) (V4 a) Source #

_xwyz :: R4 t => Lens' (t a) (V4 a) Source #

_xwzy :: R4 t => Lens' (t a) (V4 a) Source #

_yxzw :: R4 t => Lens' (t a) (V4 a) Source #

_yxwz :: R4 t => Lens' (t a) (V4 a) Source #

_yzxw :: R4 t => Lens' (t a) (V4 a) Source #

_yzwx :: R4 t => Lens' (t a) (V4 a) Source #

_ywxz :: R4 t => Lens' (t a) (V4 a) Source #

_ywzx :: R4 t => Lens' (t a) (V4 a) Source #

_zxyw :: R4 t => Lens' (t a) (V4 a) Source #

_zxwy :: R4 t => Lens' (t a) (V4 a) Source #

_zyxw :: R4 t => Lens' (t a) (V4 a) Source #

_zywx :: R4 t => Lens' (t a) (V4 a) Source #

_zwxy :: R4 t => Lens' (t a) (V4 a) Source #

_zwyx :: R4 t => Lens' (t a) (V4 a) Source #

_wxyz :: R4 t => Lens' (t a) (V4 a) Source #

_wxzy :: R4 t => Lens' (t a) (V4 a) Source #

_wyxz :: R4 t => Lens' (t a) (V4 a) Source #

_wyzx :: R4 t => Lens' (t a) (V4 a) Source #

_wzxy :: R4 t => Lens' (t a) (V4 a) Source #

_wzyx :: R4 t => Lens' (t a) (V4 a) Source #