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:

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
$(PLUSMNINF)	y	+∞	no
$(PLUSMNINF)	NaN	+∞	no
NaN	y != $(PLUSMNINF)	NaN	no

T hypot(T x, T y)
@safe pure nothrow @nogc
T
hypot
(
T
)
(
const T x
,
const T y
)
if (
isFloatingPoint!T
)
T hypot(T x, T y, T z)

Examples

import std.math.operations : feqrel;
import std.math.traits : isNaN;

assert(hypot(1.0, 1.0).feqrel(1.4142) > 16);
assert(hypot(3.0, 4.0).feqrel(5.0) > 16);
assert(hypot(real.infinity, 1.0L) == real.infinity);
assert(hypot(1.0L, real.infinity) == real.infinity);
assert(hypot(real.infinity, real.nan) == real.infinity);
assert(hypot(real.nan, real.infinity) == real.infinity);
assert(hypot(real.nan, 1.0L).isNaN);
assert(hypot(1.0L, real.nan).isNaN);

hypot

Examples

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Source