Linear.V2

2-D Vectors

Documentation

data V2 a

A 2-dimensional vector

>>> pure 1 :: V2 Int
V2 1 1

>>> V2 1 2 + V2 3 4
V2 4 6

>>> V2 1 2 * V2 3 4
V2 3 8

>>> sum (V2 1 2)
3

Constructors

V2 a a

Instances

Monad V2

Functor V2

Typeable1 V2

Applicative V2

Foldable V2

Traversable V2

Distributive V2

Metric V2

Core V2

R2 V2

Eq a => Eq (V2 a)

(Num (V2 a), Fractional a) => Fractional (V2 a)

(Typeable (V2 a), Data a) => Data (V2 a)

Num a => Num (V2 a)

(Eq (V2 a), Ord a) => Ord (V2 a)

Read a => Read (V2 a)

Show a => Show (V2 a)

(Ord (V2 a), Ix a) => Ix (V2 a)

Storable a => Storable (V2 a)

(Num (V2 a), Epsilon a) => Epsilon (V2 a)

class R2 t where

A space that distinguishes 2 orthogonal basis vectors _x and _y, but may have more.

Methods

_x :: Functor f => (a -> f a) -> t a -> f (t a)

>>> V2 1 2 ^._x
1

>>> V2 1 2 & _x .~ 3
V2 3 2

_y :: Functor f => (a -> f a) -> t a -> f (t a)

>>> V2 1 2 ^._y
2

>>> V2 1 2 & _y .~ 3
V2 1 3

_xy :: Functor f => (V2 a -> f (V2 a)) -> t a -> f (t a)

Instances

R2 V2

R2 V3

R2 V4

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

the counter-clockwise perpendicular vector

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