# hypot(3) — Linux manual page

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

## NAME         top

```       hypot, hypotf, hypotl - Euclidean distance function
```

## SYNOPSIS         top

```       #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 <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE

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

## DESCRIPTION         top

```       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         top

```       On success, these functions return the length of the hypotenuse
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         top

```       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         top

```       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         top

```       C99, POSIX.1-2001, POSIX.1-2008.

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

```       cabs(3), sqrt(3)
```

## COLOPHON         top

```       This page is part of release 5.13 of the Linux man-pages project.
A description of the project, information about reporting bugs,