Data.Vector3

3D vector abstraction (R^3).

Documentation

data Vector3 a

3D Vector.

Instances

Show a => Show (Vector3 a)

Defined in Data.Vector3

Methods

showsPrec :: Int -> Vector3 a -> ShowS

show :: Vector3 a -> String

showList :: [Vector3 a] -> ShowS

NFData a => NFData (Vector3 a)

Defined in Data.Vector3

Methods

rnf :: Vector3 a -> ()

Eq a => Eq (Vector3 a)

Defined in Data.Vector3

Methods

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

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

RealFloat a => VectorSpace (Vector3 a) a

Defined in Data.Vector3

Methods

zeroVector :: Vector3 a

(*^) :: a -> Vector3 a -> Vector3 a

(^/) :: Vector3 a -> a -> Vector3 a

(^+^) :: Vector3 a -> Vector3 a -> Vector3 a

(^-^) :: Vector3 a -> Vector3 a -> Vector3 a

negateVector :: Vector3 a -> Vector3 a

dot :: Vector3 a -> Vector3 a -> a

norm :: Vector3 a -> a

normalize :: Vector3 a -> Vector3 a

RealFloat a => AffineSpace (Point3 a) (Vector3 a) a

Defined in Data.Point3

Methods

origin :: Point3 a

(.+^) :: Point3 a -> Vector3 a -> Point3 a

(.-^) :: Point3 a -> Vector3 a -> Point3 a

(.-.) :: Point3 a -> Point3 a -> Vector3 a

distance :: Point3 a -> Point3 a -> a

vector3 :: RealFloat a => a -> a -> a -> Vector3 a

Creates a 3D vector from the cartesian coordinates.

vector3X :: RealFloat a => Vector3 a -> a

X cartesian coordinate.

vector3Y :: RealFloat a => Vector3 a -> a

Y cartesian coordinate.

vector3Z :: RealFloat a => Vector3 a -> a

Z cartesian coordinate.

vector3XYZ :: RealFloat a => Vector3 a -> (a, a, a)

Returns a vector's cartesian coordinates.

vector3Spherical :: RealFloat a => a -> a -> a -> Vector3 a

Creates a 3D vector from the spherical coordinates.

vector3Rho :: RealFloat a => Vector3 a -> a

Calculates the vector's radial distance.

vector3Theta :: RealFloat a => Vector3 a -> a

Calculates the vector's azimuth.

vector3Phi :: RealFloat a => Vector3 a -> a

Calculates the vector's inclination.

vector3RhoThetaPhi :: RealFloat a => Vector3 a -> (a, a, a)

Spherical coordinate representation of a 3D vector.

vector3Rotate :: RealFloat a => a -> a -> Vector3 a -> Vector3 a

Rotates a vector with a given polar and azimuthal angles.