inline double atan2(const double &y, const double &x) 
{
	if( fabs(x) >= fabs(y) )
	{
		// Sector to the right
		if( x > 0 )
		{
			const double phi = y/x;
			return atan(phi);
		}
		// Sector to the left
		else if( x < 0 )
		{
			const double phi = y/x;
			if( y >= 0) {
				return  atan(phi) + M_PI;
			} else {
				return atan(phi) - M_PI;
			}
		}
		// Hence, x and y are zero
		else
		{
			return 0.0;
		}
	}
	else if( fabs(y) >= fabs(x) )
	{
		// Sector to the top
		if( y > 0 )
		{
			const double phi = x/y;
			return M_PI_2 - atan(phi);
		}
		// Sector to the bottom
		if( y < 0 )
		{
			const double phi = x/y;
			return - M_PI_2 - atan(phi);
		}
		// Actually, the impossible case, x=y=0. Should be catched above.
		else
		{
			assert(false);
			return 0.0;
		}

	}
	// This can only happen, if x or y is NaN.
	else
	{
		return 0.0;
	}
}