Nonlinear.V4

Adapted from Linear.V4

Documentation

data V4 a

Constructors

V4

Fields

• v4x :: !a
• v4y :: !a
• v4z :: !a
• v4w :: !a

Instances

Monad V4

Defined in Nonlinear.V4

Methods

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

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

return :: a -> V4 a

Functor V4

Defined in Nonlinear.V4

Methods

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

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

Applicative V4

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

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

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

Defined in Nonlinear.V4

Methods

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

Ord1 V4

Defined in Nonlinear.V4

Methods

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

Read1 V4

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

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

Defined in Nonlinear.V4

Methods

construct :: ((forall b. Lens' (V4 b) b) -> a) -> V4 a

R1 V4

Defined in Nonlinear.V4

Methods

_x :: Lens' (V4 a) a

R2 V4

Defined in Nonlinear.V4

Methods

_y :: Lens' (V4 a) a

_xy :: Lens' (V4 a) (V2 a)

R3 V4

Defined in Nonlinear.V4

Methods

_z :: Lens' (V4 a) a

_xyz :: Lens' (V4 a) (V3 a)

R4 V4

Defined in Nonlinear.V4

Methods

_w :: Lens' (V4 a) a

_xyzw :: Lens' (V4 a) (V4 a)

Bounded a => Bounded (V4 a)

Defined in Nonlinear.V4

Methods

minBound :: V4 a

maxBound :: V4 a

Eq a => Eq (V4 a)

Defined in Nonlinear.V4

Methods

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

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

Floating a => Floating (V4 a)

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)

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)

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)

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)

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)

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)

Defined in Nonlinear.V4

Methods

showsPrec :: Int -> V4 a -> ShowS

show :: V4 a -> String

showList :: [V4 a] -> ShowS

Ix a => Ix (V4 a)

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)

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)

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)

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)

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

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)

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

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

Methods

_w :: Lens' (t a) a

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

Instances

R4 V4

Defined in Nonlinear.V4

Methods

_w :: Lens' (V4 a) a

_xyzw :: Lens' (V4 a) (V4 a)

R4 Quaternion

Defined in Nonlinear.Quaternion

Methods

_w :: Lens' (Quaternion a) a

_xyzw :: Lens' (Quaternion a) (V4 a)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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