Data.Vector.V3

3-dimensional vectors with vector arithmetic.

Documentation

data Vector3

Constructors

Vector3

Fields

• v3x, v3y, v3z :: !Scalar

Instances

BasicVector Vector3

Defined in Data.Vector.V3

Methods

vmap :: (Scalar -> Scalar) -> Vector3 -> Vector3

vzip :: (Scalar -> Scalar -> Scalar) -> Vector3 -> Vector3 -> Vector3

vfold :: (Scalar -> Scalar -> Scalar) -> Vector3 -> Scalar

vpack :: [Scalar] -> Maybe Vector3

vunpack :: Vector3 -> [Scalar]

vpromote :: Scalar -> Vector3

Vector Vector3

Defined in Data.Vector.V3

Num Vector3

Defined in Data.Vector.V3

Methods

(+) :: Vector3 -> Vector3 -> Vector3

(-) :: Vector3 -> Vector3 -> Vector3

(*) :: Vector3 -> Vector3 -> Vector3

negate :: Vector3 -> Vector3

abs :: Vector3 -> Vector3

signum :: Vector3 -> Vector3

fromInteger :: Integer -> Vector3

Fractional Vector3

Defined in Data.Vector.V3

Methods

(/) :: Vector3 -> Vector3 -> Vector3

recip :: Vector3 -> Vector3

fromRational :: Rational -> Vector3

Show Vector3

Defined in Data.Vector.V3

Methods

showsPrec :: Int -> Vector3 -> ShowS

show :: Vector3 -> String

showList :: [Vector3] -> ShowS

Eq Vector3

Defined in Data.Vector.V3

Methods

(==) :: Vector3 -> Vector3 -> Bool

(/=) :: Vector3 -> Vector3 -> Bool

vcross :: Vector3 -> Vector3 -> Vector3

Take the cross product of two 3D vectors. This produces a new 3D vector that is perpendicular to the plane of the first two vectors, and who's length is equal to the sine of the angle between those vectors multiplied by their lengths.

Note that a `vcross` b = negate (b `vcross` a).