module Data.Vector.V3 where
import Data.Vector.Class
data Vector3 = Vector3 {v3x, v3y, v3z :: !Scalar} deriving (Eq, Show)
instance Vector Vector3 where
vmap f (Vector3 x y z ) = Vector3 (f x) (f y) (f z)
vzip f (Vector3 x1 y1 z1) (Vector3 x2 y2 z2) = Vector3 (f x1 x2) (f y1 y2) (f z1 z2)
vfold f (Vector3 x y z ) = f x (f y z)
vpack (x:y:z:_) = Just $ Vector3 x y z
vpack _ = Nothing
vunpack (Vector3 x y z) = [x,y,z]
instance Num Vector3 where
(+) = vzip (+)
() = vzip ()
(*) = vzip (*)
abs = vmap abs
signum = vmap signum
fromInteger x = let x' = fromInteger x in Vector3 x' x' x'
instance Fractional Vector3 where
(/) = vzip (/)
recip = vmap recip
fromRational x = let x' = fromRational x in Vector3 x' x' x'
vcross :: Vector3 -> Vector3 -> Vector3
vcross (Vector3 x1 y1 z1) (Vector3 x2 y2 z2) =
Vector3
{
v3x = y1 * z2 y2 * z1,
v3y = z1 * x2 z2 * x1,
v3z = x1 * y2 x2 * y1
}