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Function std.math.hypot

Calculates the length of the hypotenuse of a right-angled triangle with sides of length x and y. The hypotenuse is the value of the square root of the sums of the squares of x and y:

real hypot (
  real x,
  real y
) pure nothrow @nogc @safe;

sqrt(x2 + y2)

Note that hypot(x, y), hypot(y, x) and hypot(x, -y) are equivalent.

Special Values
x y hypot(x, y) invalid?
x ±0.0 |x| no
±∞ y +∞ no
±∞ NAN +∞ no


assert(hypot(1.0, 1.0).feqrel(1.4142) > 16);
assert(hypot(3.0, 4.0).feqrel(5.0) > 16);
writeln(hypot(real.infinity, 1.0)); // real.infinity
writeln(hypot(real.infinity, real.nan)); // real.infinity


Walter Bright, Don Clugston, Conversion of CEPHES math library to D by Iain Buclaw and David Nadlinger


Boost License 1.0.