# hypot(3) [opendarwin man page]

```HYPOT(3)						   BSD Library Functions Manual 						  HYPOT(3)

NAME
hypot -- euclidean distance function

SYNOPSIS
#include <math.h>

double
hypot(double x, double y);

DESCRIPTION
The hypot() function computes the sqrt(x*x+y*y) without undue overflow or underflow.

SPECIAL VALUES
hypot(x, y) , hypot(y, x) , and hypot(x, -y) are equivalent.

hypot(x, +-0) is equivalent to fabs(x).

hypot(+-infinity, y) returns +infinity even if y is a NaN.

cabs(3), math(3), sqrt(3)

STANDARDS
The hypot() function conforms to ISO/IEC 9899:1999(E).

4th Berkeley Distribution					 January 28, 2003					 4th Berkeley Distribution```

## Check Out this Related Man Page

```HYPOT(3)						   BSD Library Functions Manual 						  HYPOT(3)

NAME
hypot, hypotf, hypotl, cabs, cabsf, cabsl -- Euclidean distance and complex absolute value functions

LIBRARY
Math Library (libm, -lm)

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.  The cabs(), cabsf() and cabsl() functions compute the complex absolute value of z.

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

ERROR (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.  But 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.  Unlike the reserved operand fault on a VAX, the IEEE NaN is designed to disappear when it
turns out to be irrelevant, as it does in hypot(infinity, NaN).

carg(3), math(3), sqrt(3)

STANDARDS
The hypot(), hypotf(), hypotl(), cabs(), cabsf(), and cabsl() functions conform to ISO/IEC 9899:1999 (``ISO C99'').

HISTORY
Both a hypot() function and a cabs() function appeared in Version 7 AT&T UNIX.

BSD								  March 30, 2008							       BSD```
Man Page

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