Overflow-safe method to determine the greater of two values without comparison operators.

get_max.cpp

template<typename T>
T get_max(const T& first, const T& second)
{
	double first_half = first / 2.0;
	double second_half = second / 2.0;
	
	bool sign = std::signbit(first_half - second_half);
	
	return (sign * second) + (!sign * first);
}