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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

Example

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

Authors

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

License

Boost License 1.0.