### 8.111 `HYPOT` — Euclidean distance function

Description:
  `HYPOT(X,Y)` is the Euclidean distance function. It is equal to \sqrtX^2 + Y^2, without undue underflow or overflow.
Standard:
  Fortran 2008 and later
Class:
  Elemental function
Syntax:
  `RESULT = HYPOT(X, Y)`
Arguments:

  X | The type shall be `REAL`.
  Y | The type and kind type parameter shall be the same as X.

Return value:
  The return value has the same type and kind type parameter as X.
Example:

                program test_hypot
                  real(4) :: x = 1.e0_4, y = 0.5e0_4
                  x = hypot(x,y)
                end program test_hypot