static Vector3 Transform(const Vector3 &point, const D3DXMATRIX &matrix)
{
	Vector3 result;
	Vector4 temp(point.X, point.Y, point.Z, 1); //need a 4-part vector in order to multiply by a 4x4 matrix
	Vector4 temp2;

	temp2.X = temp.X * matrix._11 + temp.Y * matrix._21 + temp.Z * matrix._31 + temp.W * matrix._41;
	temp2.Y = temp.X * matrix._12 + temp.Y * matrix._22 + temp.Z * matrix._32 + temp.W * matrix._42;
	temp2.Z = temp.X * matrix._13 + temp.Y * matrix._23 + temp.Z * matrix._33 + temp.W * matrix._43;
	temp2.W = temp.X * matrix._14 + temp.Y * matrix._24 + temp.Z * matrix._34 + temp.W * matrix._44;

	result.X = temp2.X/temp2.W; //view projection matrices make use of the W component
	result.Y = temp2.Y/temp2.W;
	result.Z = temp2.Z/temp2.W;

	return result;
}

static Vector3 TransformTransposed(const Vector3 &point, const D3DXMATRIX &matrix)
{
	Vector3 result;
	Vector4 temp(point.X, point.Y, point.Z, 1); //need a 4-part vector in order to multiply by a 4x4 matrix
	Vector4 temp2;

	temp2.X = temp.X * matrix._11 + temp.Y * matrix._12 + temp.Z * matrix._13 + temp.W * matrix._14;
	temp2.Y = temp.X * matrix._21 + temp.Y * matrix._22 + temp.Z * matrix._23 + temp.W * matrix._24;
	temp2.Z = temp.X * matrix._31 + temp.Y * matrix._32 + temp.Z * matrix._33 + temp.W * matrix._34;
	temp2.W = temp.X * matrix._41 + temp.Y * matrix._42 + temp.Z * matrix._43 + temp.W * matrix._44;

	result.X = temp2.X/temp2.W;	//view projection matrices make use of the W component
	result.Y = temp2.Y/temp2.W;
	result.Z = temp2.Z/temp2.W;

	return result;
}