#import "math.sx";

vec3_dot :: (a: Vector(3,f32), b: Vector(3,f32)) -> f32 {
    return a.x*b.x + a.y*b.y + a.z*b.z;
}
dot :: ufcs vec3_dot;

vec3_cross :: (a: Vector(3,f32), b: Vector(3,f32)) -> Vector(3,f32) {
    .[a.y*b.z - a.z*b.y, a.z*b.x - a.x*b.z, a.x*b.y - a.y*b.x];
}
cross :: ufcs vec3_cross;

vec3_length :: (v: Vector(3,f32)) -> f32 {
    return sqrt(dot(v, v));
}
length :: ufcs vec3_length;


vec3_normal :: (v: Vector(3,f32)) -> Vector(3,f32) {
    return v / length(v);
}
normal :: ufcs vec3_normal;