Nonlinear.V3

Adapted from Linear.V3

Documentation

data V3 a

Constructors

V3

Fields

• v3x :: !a
• v3y :: !a
• v3z :: !a

Instances

Monad V3

Defined in Nonlinear.V3

Methods

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

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

return :: a -> V3 a

Functor V3

Defined in Nonlinear.V3

Methods

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

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

Applicative V3

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

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

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

Defined in Nonlinear.V3

Methods

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

Ord1 V3

Defined in Nonlinear.V3

Methods

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

Read1 V3

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

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

Defined in Nonlinear.V3

Methods

construct :: ((forall b. Lens' (V3 b) b) -> a) -> V3 a

R1 V3

Defined in Nonlinear.V3

Methods

_x :: Lens' (V3 a) a

R2 V3

Defined in Nonlinear.V3

Methods

_y :: Lens' (V3 a) a

_xy :: Lens' (V3 a) (V2 a)

R3 V3

Defined in Nonlinear.V3

Methods

_z :: Lens' (V3 a) a

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

Bounded a => Bounded (V3 a)

Defined in Nonlinear.V3

Methods

minBound :: V3 a

maxBound :: V3 a

Eq a => Eq (V3 a)

Defined in Nonlinear.V3

Methods

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

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

Floating a => Floating (V3 a)

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)

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)

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)

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)

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)

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)

Defined in Nonlinear.V3

Methods

showsPrec :: Int -> V3 a -> ShowS

show :: V3 a -> String

showList :: [V3 a] -> ShowS

Ix a => Ix (V3 a)

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)

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)

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)

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)

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

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)

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

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

cross product

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

scalar triple product

class R2 t => R3 t where

Methods

_z :: Lens' (t a) a

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

Instances

R3 V3

Defined in Nonlinear.V3

Methods

_z :: Lens' (V3 a) a

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

R3 V4

Defined in Nonlinear.V4

Methods

_z :: Lens' (V4 a) a

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

R3 Quaternion

Defined in Nonlinear.Quaternion

Methods

_z :: Lens' (Quaternion a) a

_xyz :: Lens' (Quaternion 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)