Safe Haskell	Safe-Inferred
Language	Haskell2010

Data.Vector.V3

Description

3-dimensional vectors with vector arithmetic.

Synopsis

data Vector3 = Vector3 {
- v3x, v3y, v3z :: !Scalar
}
vcross :: Vector3 -> Vector3 -> Vector3

Documentation

data Vector3 Source #

Constructors

Vector3
Fields v3x, v3y, v3z :: !Scalar

Instances

Instances details

BasicVector Vector3 Source #
Instance details Defined in Data.Vector.V3 Methods vmap :: (Scalar -> Scalar) -> Vector3 -> Vector3 Source # vzip :: (Scalar -> Scalar -> Scalar) -> Vector3 -> Vector3 -> Vector3 Source # vfold :: (Scalar -> Scalar -> Scalar) -> Vector3 -> Scalar Source # vpack :: [Scalar] -> Maybe Vector3 Source # vunpack :: Vector3 -> [Scalar] Source # vpromote :: Scalar -> Vector3 Source #
Vector Vector3 Source #
Instance details Defined in Data.Vector.V3
Num Vector3 Source #
Instance details 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 Source #
Instance details Defined in Data.Vector.V3 Methods (/) :: Vector3 -> Vector3 -> Vector3 # recip :: Vector3 -> Vector3 # fromRational :: Rational -> Vector3 #
Show Vector3 Source #
Instance details Defined in Data.Vector.V3 Methods showsPrec :: Int -> Vector3 -> ShowS # show :: Vector3 -> String # showList :: [Vector3] -> ShowS #
Eq Vector3 Source #
Instance details Defined in Data.Vector.V3 Methods (==) :: Vector3 -> Vector3 -> Bool # (/=) :: Vector3 -> Vector3 -> Bool #

vcross :: Vector3 -> Vector3 -> Vector3 Source #

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).