NAME
hypot, cabs - Euclidean distance, complex absolute value

SYNOPSIS
#include <math.h>

double hypot(x,y)
double x,y;

double cabs(z)
struct {double x,y;} z;

DESCRIPTION
Hypot(x,y) and cabs(x,y) return sqrt(x*x+y*y) computed in such a
way that underflow will not happen, and overflow occurs only if the
final result deserves it.

hypot(infinity,v) = hypot(v,infinity) = +infinity for all v,
including NaN.

NOTES
As might be expected, hypot(v,NaN) and hypot(NaN,v) are NaN for all
finite v. But programmers on machines other than a VAX might be
surprised at first to discover that hypot(+-infinity,NaN) =
+infinity. This is intentional; it happens because
hypot(infinity,v) = +infinity for all v, finite or infinite. Hence
hypot(infinity,v) is independent of v. The IEEE NaN is designed to
disappear when it turns out to be irrelevant, as it does in
hypot(infinity,NaN).