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Command: hypot | Section: 3 | Source: OpenBSD | File: hypot.3
HYPOT(3) FreeBSD Library Functions Manual HYPOT(3)
NAME
hypot, hypotf, hypotl, cabs, cabsf, cabsl - Euclidean distance and
complex absolute value functions
SYNOPSIS
#include <math.h>
double
hypot(double x, double y);
float
hypotf(float x, float y);
long double
hypotl(long double x, long double y);
#include <complex.h>
double
cabs(double complex z);
float
cabsf(float complex z);
long double
cabsl(long double complex z);
DESCRIPTION
The hypot(), hypotf() and hypotl() functions compute the sqrt(x*x+y*y) 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.
The cabs(), cabsf() and cabsl() functions return the absolute value of
the complex number z.
ERRORS (due to Roundoff, etc.)
Below 0.97 ulps. Consequently hypot(5.0, 12.0) = 13.0 exactly; in
general, hypot and cabs return an integer whenever an integer might be
expected.
NOTES
As might be expected, hypot(v, NaN) and hypot(NaN, v) are NaN for all
finite v. Programmers 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).
SEE ALSO
fpclassify(3), sqrt(3)
HISTORY
A hypot() function first appeared in Version 2 AT&T UNIX, and cabs() in
Version 7 AT&T UNIX.
FreeBSD 14.1-RELEASE-p8 June 29, 2021 FreeBSD 14.1-RELEASE-p8