typedef Scalar double;

namespace Mathematics
{
	class Vector
	{
	public:
		Scalar x;
		Scalar y;
		Scalar z;
	private:
		Scalar oldMagnitudeSquared;
		Scalar magnitude;
		Scalar saved_sin;
		Scalar saved_cos;
		Scalar saved_sin_magsquared;
		Scalar saved_cos_magsquared;
...
member functions
...
}