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# hypot(3)

2017-09-15
Aliases: hypotf(3), hypotf(3), hypotf(3), hypotf(3), hypotf(3), hypotf(3), hypotf(3), hypotf(3), hypotf(3), hypotf(3), hypotl(3), hypotl(3), hypotl(3), hypotl(3), hypotl(3), hypotl(3), hypotl(3), hypotl(3), hypotl(3), hypotl(3)

### manpages-dev

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### man-pages

Linux kernel and C library user-space interface documentation

## 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 Thread safety MT-Safe

## CONFORMING TO

C99, POSIX.1-2001, POSIX.1-2008.
The variant returning double also conforms to SVr4, 4.3BSD.