# hypot(3) [xfree86 man page]

```HYPOT(3)						     Linux Programmer's Manual							  HYPOT(3)

NAME
hypot, hypotf, hypotl - Euclidean distance function

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);

Feature Test Macro Requirements for glibc (see feature_test_macros(7)):

hypot():
_ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
|| _XOPEN_SOURCE
|| /* Since glibc 2.19: */ _DEFAULT_SOURCE
|| /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
hypotf(), hypotl():
_ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
|| /* Since glibc 2.19: */ _DEFAULT_SOURCE
|| /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE

DESCRIPTION
These functions return sqrt(x*x+y*y).  This is the length of the hypotenuse of a right-angled triangle with sides of length x and y, or the
distance of the point (x,y) from the origin.

The calculation is performed without undue overflow or underflow during the intermediate steps of the calculation.

RETURN VALUE
On success, these functions return the length of a right-angled triangle with sides of length x and y.

If x or y is an infinity, positive infinity is returned.

If x or y is a NaN, and the other argument is not an infinity, a NaN is returned.

If the result overflows, a range error occurs, and the functions return HUGE_VAL, HUGE_VALF, or HUGE_VALL, respectively.

If both arguments are subnormal, and the result is subnormal, a range error occurs, and the correct result is returned.

ERRORS
See math_error(7) for information on how to determine whether an error has occurred when calling these functions.

The following errors can occur:

Range error: result overflow
errno is set to ERANGE.  An overflow floating-point exception (FE_OVERFLOW) is raised.

Range error: result underflow
An underflow floating-point exception (FE_UNDERFLOW) is raised.

These functions do not set errno for this case.

ATTRIBUTES
For an explanation of the terms used in this section, see attributes(7).

+----------------------------+---------------+---------+
|Interface		    | Attribute     | Value   |
+----------------------------+---------------+---------+
|hypot(), hypotf(), hypotl() | Thread safety | MT-Safe |
+----------------------------+---------------+---------+

CONFORMING TO
C99, POSIX.1-2001, POSIX.1-2008.

The variant returning double also conforms to SVr4, 4.3BSD.

cabs(3), sqrt(3)

COLOPHON
This page is part of release 4.15 of the Linux man-pages project.  A description of the project, information about reporting bugs, and  the

2017-09-15								  HYPOT(3)```

## Check Out this Related Man Page

```HYPOT(3)						     Linux Programmer's Manual							  HYPOT(3)

NAME
hypot, hypotf, hypotl - Euclidean distance function

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);

Feature Test Macro Requirements for glibc (see feature_test_macros(7)):

hypot():
_BSD_SOURCE || _SVID_SOURCE || _XOPEN_SOURCE || _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L;
or cc -std=c99
hypotf(), hypotl():
_BSD_SOURCE || _SVID_SOURCE || _XOPEN_SOURCE >= 600 || _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L;
or cc -std=c99

DESCRIPTION
The  hypot() function returns sqrt(x*x+y*y).  This is the length of the hypotenuse of a right-angled triangle with sides of length x and y,
or the distance of the point (x,y) from the origin.

The calculation is performed without undue overflow or underflow during the intermediate steps of the calculation.

RETURN VALUE
On success, these functions return the length of a right-angled triangle with sides of length x and y.

If x or y is an infinity, positive infinity is returned.

If x or y is a NaN, and the other argument is not an infinity, a NaN is returned.

If the result overflows, a range error occurs, and the functions return HUGE_VAL, HUGE_VALF, or HUGE_VALL, respectively.

If both arguments are subnormal, and the result is subnormal, a range error occurs, and the correct result is returned.

ERRORS
See math_error(7) for information on how to determine whether an error has occurred when calling these functions.

The following errors can occur:

Range error: result overflow
errno is set to ERANGE.  An overflow floating-point exception (FE_OVERFLOW) is raised.

Range error: result underflow
An underflow floating-point exception (FE_UNDERFLOW) is raised.

These functions do not set errno for this case.

CONFORMING TO
C99, POSIX.1-2001.  The variant returning double also conforms to SVr4, 4.3BSD.