[PATCH] Define 3-argument overloads of std::hypot for C++17 (P0030R1)

[Marc Glisse]

On Tue, 27 Sep 2016, Jonathan Wakely wrote:

> This adds the new 3D std::hypot() functions. This implementation seems
> to be faster than the naïve sqrt(x*x + y*y + z*z) implementation, or
> hypot(hypot(x, y), z), and should be a bit more accurate at very large
> or very small values due to reducing the arguments by the largest one.
> Improvements welcome though, as this is not my forte.

I understand the claims about accuracy, but the one about speed seems very 
surprising to me. Was your test specifically with denormals on 
not-so-recent hardware, or specifically when sqrt does a library call for 
errno? Otherwise, I have a hard time believing that 3 multiplications and 
2 additions can be slower than 4 multiplications, 2 additions, plus a 
bunch of tests and divisions.

-- 
Marc Glisse