Safe Haskell	None
Language	Haskell2010

Nonlinear.V3

Description

Adapted from Linear.V3

Synopsis

data V3 a = V3 {
- v3x :: !a
- v3y :: !a
- v3z :: !a
}
cross :: Num a => V3 a -> V3 a -> V3 a
triple :: Num a => V3 a -> V3 a -> V3 a -> 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)

Documentation

data V3 a Source #

Constructors

V3
Fields v3x :: !a v3y :: !a v3z :: !a

Instances

Instances details

Monad V3 Source #
Instance details Defined in Nonlinear.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 Nonlinear.V3 Methods fmap :: (a -> b) -> V3 a -> V3 b # (<$) :: a -> V3 b -> V3 a #
Applicative V3 Source #
Instance details Defined in Nonlinear.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 Nonlinear.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 Nonlinear.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) #
Eq1 V3 Source #
Instance details Defined in Nonlinear.V3 Methods liftEq :: (a -> b -> Bool) -> V3 a -> V3 b -> Bool #
Ord1 V3 Source #
Instance details Defined in Nonlinear.V3 Methods liftCompare :: (a -> b -> Ordering) -> V3 a -> V3 b -> Ordering #
Read1 V3 Source #
Instance details Defined in Nonlinear.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 Source #
Instance details Defined in Nonlinear.V3 Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V3 a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [V3 a] -> ShowS #
Vec V3 Source #
Instance details Defined in Nonlinear.V3 Methods construct :: ((forall b. Lens' (V3 b) b) -> a) -> V3 a Source #
R1 V3 Source #
Instance details Defined in Nonlinear.V3 Methods _x :: Lens' (V3 a) a Source #
R2 V3 Source #
Instance details Defined in Nonlinear.V3 Methods _y :: Lens' (V3 a) a Source # _xy :: Lens' (V3 a) (V2 a) Source #
R3 V3 Source #
Instance details Defined in Nonlinear.V3 Methods _z :: Lens' (V3 a) a Source # _xyz :: Lens' (V3 a) (V3 a) Source #
Bounded a => Bounded (V3 a) Source #
Instance details Defined in Nonlinear.V3 Methods minBound :: V3 a # maxBound :: V3 a #
Eq a => Eq (V3 a) Source #
Instance details Defined in Nonlinear.V3 Methods (==) :: V3 a -> V3 a -> Bool # (/=) :: V3 a -> V3 a -> Bool #
Floating a => Floating (V3 a) Source #
Instance details Defined in Nonlinear.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 Nonlinear.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 Nonlinear.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 Nonlinear.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 Nonlinear.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 Nonlinear.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 Nonlinear.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 Nonlinear.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 Nonlinear.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 x => Semigroup (V3 x) Source #
Instance details Defined in Nonlinear.V3 Methods (<>) :: V3 x -> V3 x -> V3 x # sconcat :: NonEmpty (V3 x) -> V3 x # stimes :: Integral b => b -> V3 x -> V3 x #
Monoid a => Monoid (V3 a) Source #
Instance details Defined in Nonlinear.V3 Methods mempty :: V3 a # mappend :: V3 a -> V3 a -> V3 a # mconcat :: [V3 a] -> V3 a #
Storable a => Storable (V3 a) Source #
Instance details Defined in Nonlinear.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 () #
Generic1 V3 Source #
Instance details Defined in Nonlinear.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 #
type Rep (V3 a) Source #
Instance details Defined in Nonlinear.V3 type Rep (V3 a) = D1 ('MetaData "V3" "Nonlinear.V3" "nonlinear-0.1.0-dd7wbAvLl3JZC37BHOks3" 'False) (C1 ('MetaCons "V3" 'PrefixI 'True) (S1 ('MetaSel ('Just "v3x") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :: (S1 ('MetaSel ('Just "v3y") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :: S1 ('MetaSel ('Just "v3z") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a))))
type Rep1 V3 Source #
Instance details Defined in Nonlinear.V3 type Rep1 V3 = D1 ('MetaData "V3" "Nonlinear.V3" "nonlinear-0.1.0-dd7wbAvLl3JZC37BHOks3" 'False) (C1 ('MetaCons "V3" 'PrefixI 'True) (S1 ('MetaSel ('Just "v3x") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :: (S1 ('MetaSel ('Just "v3y") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :: S1 ('MetaSel ('Just "v3z") '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 R2 t => R3 t where Source #

Methods

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

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

Instances

Instances details

R3 V3 Source #
Instance details Defined in Nonlinear.V3 Methods _z :: Lens' (V3 a) a Source # _xyz :: Lens' (V3 a) (V3 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 #
R3 Quaternion Source #
Instance details Defined in Nonlinear.Quaternion Methods _z :: Lens' (Quaternion a) a Source # _xyz :: Lens' (Quaternion 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 #