implementation module VectorOverloading

import StdEnv

:: Vector2 a = {x0 :: a, x1 :: a}

instance ==   (Vector2 a) | == a   where
	== a b = a.x0 == b.x0 && a.x1 == b.x1
instance zero (Vector2 a) | zero a where
	zero = {x0=zero, x1=zero}
instance one  (Vector2 a) | one a  where
	one = {x0=one, x1=one}
instance ~    (Vector2 a) | ~ a    where
	~ a = {x0= ~a.x0, x1= ~a.x1}
instance +    (Vector2 a) | + a    where
	+ a b = {x0=a.x0+b.x0, x1=a.x1+b.x1}
instance -    (Vector2 a) | - a    where
	- a b = {x0=a.x0-b.x0, x1=a.x1-b.x1}
instance *    (Vector2 a) | * a    where
	* a b = {x0=a.x0*b.x0, x1=a.x1*b.x1}
instance /    (Vector2 a) | / a    where
	/ a b = {x0=a.x0/b.x0, x1=a.x1/b.x1}