Nonlinear.V2

Adapted from Linear.V2

Documentation

data V2 a

Constructors

V2

Fields

• v2x :: !a
• v2y :: !a

Instances

Monad V2

Defined in Nonlinear.V2

Methods

(>>=) :: V2 a -> (a -> V2 b) -> V2 b

(>>) :: V2 a -> V2 b -> V2 b

return :: a -> V2 a

Functor V2

Defined in Nonlinear.V2

Methods

fmap :: (a -> b) -> V2 a -> V2 b

(<$) :: a -> V2 b -> V2 a

Applicative V2

Defined in Nonlinear.V2

Methods

pure :: a -> V2 a

(<*>) :: V2 (a -> b) -> V2 a -> V2 b

liftA2 :: (a -> b -> c) -> V2 a -> V2 b -> V2 c

(*>) :: V2 a -> V2 b -> V2 b

(<*) :: V2 a -> V2 b -> V2 a

Foldable V2

Defined in Nonlinear.V2

Methods

fold :: Monoid m => V2 m -> m

foldMap :: Monoid m => (a -> m) -> V2 a -> m

foldMap' :: Monoid m => (a -> m) -> V2 a -> m

foldr :: (a -> b -> b) -> b -> V2 a -> b

foldr' :: (a -> b -> b) -> b -> V2 a -> b

foldl :: (b -> a -> b) -> b -> V2 a -> b

foldl' :: (b -> a -> b) -> b -> V2 a -> b

foldr1 :: (a -> a -> a) -> V2 a -> a

foldl1 :: (a -> a -> a) -> V2 a -> a

toList :: V2 a -> [a]

null :: V2 a -> Bool

length :: V2 a -> Int

elem :: Eq a => a -> V2 a -> Bool

maximum :: Ord a => V2 a -> a

minimum :: Ord a => V2 a -> a

sum :: Num a => V2 a -> a

product :: Num a => V2 a -> a

Traversable V2

Defined in Nonlinear.V2

Methods

traverse :: Applicative f => (a -> f b) -> V2 a -> f (V2 b)

sequenceA :: Applicative f => V2 (f a) -> f (V2 a)

mapM :: Monad m => (a -> m b) -> V2 a -> m (V2 b)

sequence :: Monad m => V2 (m a) -> m (V2 a)

Eq1 V2

Defined in Nonlinear.V2

Methods

liftEq :: (a -> b -> Bool) -> V2 a -> V2 b -> Bool

Ord1 V2

Defined in Nonlinear.V2

Methods

liftCompare :: (a -> b -> Ordering) -> V2 a -> V2 b -> Ordering

Read1 V2

Defined in Nonlinear.V2

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (V2 a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [V2 a]

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (V2 a)

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [V2 a]

Show1 V2

Defined in Nonlinear.V2

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V2 a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [V2 a] -> ShowS

Vec V2

Defined in Nonlinear.V2

Methods

construct :: ((forall b. Lens' (V2 b) b) -> a) -> V2 a

R1 V2

Defined in Nonlinear.V2

Methods

_x :: Lens' (V2 a) a

R2 V2

Defined in Nonlinear.V2

Methods

_y :: Lens' (V2 a) a

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

Bounded a => Bounded (V2 a)

Defined in Nonlinear.V2

Methods

minBound :: V2 a

maxBound :: V2 a

Eq a => Eq (V2 a)

Defined in Nonlinear.V2

Methods

(==) :: V2 a -> V2 a -> Bool

(/=) :: V2 a -> V2 a -> Bool

Floating a => Floating (V2 a)

Defined in Nonlinear.V2

Methods

pi :: V2 a

exp :: V2 a -> V2 a

log :: V2 a -> V2 a

sqrt :: V2 a -> V2 a

(**) :: V2 a -> V2 a -> V2 a

logBase :: V2 a -> V2 a -> V2 a

sin :: V2 a -> V2 a

cos :: V2 a -> V2 a

tan :: V2 a -> V2 a

asin :: V2 a -> V2 a

acos :: V2 a -> V2 a

atan :: V2 a -> V2 a

sinh :: V2 a -> V2 a

cosh :: V2 a -> V2 a

tanh :: V2 a -> V2 a

asinh :: V2 a -> V2 a

acosh :: V2 a -> V2 a

atanh :: V2 a -> V2 a

log1p :: V2 a -> V2 a

expm1 :: V2 a -> V2 a

log1pexp :: V2 a -> V2 a

log1mexp :: V2 a -> V2 a

Fractional a => Fractional (V2 a)

Defined in Nonlinear.V2

Methods

(/) :: V2 a -> V2 a -> V2 a

recip :: V2 a -> V2 a

fromRational :: Rational -> V2 a

Data a => Data (V2 a)

Defined in Nonlinear.V2

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> V2 a -> c (V2 a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V2 a)

toConstr :: V2 a -> Constr

dataTypeOf :: V2 a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V2 a))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V2 a))

gmapT :: (forall b. Data b => b -> b) -> V2 a -> V2 a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V2 a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V2 a -> r

gmapQ :: (forall d. Data d => d -> u) -> V2 a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> V2 a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> V2 a -> m (V2 a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> V2 a -> m (V2 a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> V2 a -> m (V2 a)

Num a => Num (V2 a)

Defined in Nonlinear.V2

Methods

(+) :: V2 a -> V2 a -> V2 a

(-) :: V2 a -> V2 a -> V2 a

(*) :: V2 a -> V2 a -> V2 a

negate :: V2 a -> V2 a

abs :: V2 a -> V2 a

signum :: V2 a -> V2 a

fromInteger :: Integer -> V2 a

Ord a => Ord (V2 a)

Defined in Nonlinear.V2

Methods

compare :: V2 a -> V2 a -> Ordering

(<) :: V2 a -> V2 a -> Bool

(<=) :: V2 a -> V2 a -> Bool

(>) :: V2 a -> V2 a -> Bool

(>=) :: V2 a -> V2 a -> Bool

max :: V2 a -> V2 a -> V2 a

min :: V2 a -> V2 a -> V2 a

Read a => Read (V2 a)

Defined in Nonlinear.V2

Methods

readsPrec :: Int -> ReadS (V2 a)

readList :: ReadS [V2 a]

readPrec :: ReadPrec (V2 a)

readListPrec :: ReadPrec [V2 a]

Show a => Show (V2 a)

Defined in Nonlinear.V2

Methods

showsPrec :: Int -> V2 a -> ShowS

show :: V2 a -> String

showList :: [V2 a] -> ShowS

Ix a => Ix (V2 a)

Defined in Nonlinear.V2

Methods

range :: (V2 a, V2 a) -> [V2 a]

index :: (V2 a, V2 a) -> V2 a -> Int

unsafeIndex :: (V2 a, V2 a) -> V2 a -> Int

inRange :: (V2 a, V2 a) -> V2 a -> Bool

rangeSize :: (V2 a, V2 a) -> Int

unsafeRangeSize :: (V2 a, V2 a) -> Int

Generic (V2 a)

Defined in Nonlinear.V2

Associated Types

type Rep (V2 a) :: Type -> Type

Methods

from :: V2 a -> Rep (V2 a) x

to :: Rep (V2 a) x -> V2 a

Semigroup x => Semigroup (V2 x)

Defined in Nonlinear.V2

Methods

(<>) :: V2 x -> V2 x -> V2 x

sconcat :: NonEmpty (V2 x) -> V2 x

stimes :: Integral b => b -> V2 x -> V2 x

Monoid a => Monoid (V2 a)

Defined in Nonlinear.V2

Methods

mempty :: V2 a

mappend :: V2 a -> V2 a -> V2 a

mconcat :: [V2 a] -> V2 a

Storable a => Storable (V2 a)

Defined in Nonlinear.V2

Methods

sizeOf :: V2 a -> Int

alignment :: V2 a -> Int

peekElemOff :: Ptr (V2 a) -> Int -> IO (V2 a)

pokeElemOff :: Ptr (V2 a) -> Int -> V2 a -> IO ()

peekByteOff :: Ptr b -> Int -> IO (V2 a)

pokeByteOff :: Ptr b -> Int -> V2 a -> IO ()

peek :: Ptr (V2 a) -> IO (V2 a)

poke :: Ptr (V2 a) -> V2 a -> IO ()

Generic1 V2

Defined in Nonlinear.V2

Associated Types

type Rep1 V2 :: k -> Type

Methods

from1 :: forall (a :: k). V2 a -> Rep1 V2 a

to1 :: forall (a :: k). Rep1 V2 a -> V2 a

type Rep (V2 a)

Defined in Nonlinear.V2

type Rep (V2 a) = D1 ('MetaData "V2" "Nonlinear.V2" "nonlinear-0.1.0-dd7wbAvLl3JZC37BHOks3" 'False) (C1 ('MetaCons "V2" 'PrefixI 'True) (S1 ('MetaSel ('Just "v2x") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Just "v2y") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a)))

type Rep1 V2

Defined in Nonlinear.V2

type Rep1 V2 = D1 ('MetaData "V2" "Nonlinear.V2" "nonlinear-0.1.0-dd7wbAvLl3JZC37BHOks3" 'False) (C1 ('MetaCons "V2" 'PrefixI 'True) (S1 ('MetaSel ('Just "v2x") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Just "v2y") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1))

perp :: Num a => V2 a -> V2 a

the counter-clockwise perpendicular vector

>>> perp $ V2 10 20
V2 (-20) 10

angle :: Floating a => a -> V2 a

unangle :: (Floating a, Ord a) => V2 a -> a

crossZ :: Num a => V2 a -> V2 a -> a

The Z-component of the cross product of two vectors in the XY-plane.

>>> crossZ (V2 1 0) (V2 0 1)
1

class R1 t => R2 t where

Methods

_y :: Lens' (t a) a

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

Instances

R2 V2

Defined in Nonlinear.V2

Methods

_y :: Lens' (V2 a) a

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

R2 V3

Defined in Nonlinear.V3

Methods

_y :: Lens' (V3 a) a

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

R2 V4

Defined in Nonlinear.V4

Methods

_y :: Lens' (V4 a) a

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

R2 Quaternion

Defined in Nonlinear.Quaternion

Methods

_y :: Lens' (Quaternion a) a

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

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

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