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**NAME**

hypot, hypotf, hypotl - Euclidean distance function

**SYNOPSIS**

#include<math.h>doublehypot(doublex,doubley);floathypotf(floatx,floaty);longdoublehypotl(longdoublex,longdoubley);Link with-lm. Feature Test Macro Requirements for glibc (seefeature_test_macros(7)):hypot(): _BSD_SOURCE || _SVID_SOURCE || _XOPEN_SOURCE || _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L; orcc-std=c99hypotf(),hypotl(): _BSD_SOURCE || _SVID_SOURCE || _XOPEN_SOURCE >= 600 || _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L; orcc-std=c99

**DESCRIPTION**

Thehypot() function returns sqrt(x*x+y*y). This is the length of the hypotenuse of a right-angled triangle with sides of lengthxandy, 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 lengthxandy. Ifxoryis an infinity, positive infinity is returned. Ifxoryis 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 returnHUGE_VAL,HUGE_VALF, orHUGE_VALL, respectively. If both arguments are subnormal, and the result is subnormal, a range error occurs, and the correct result is returned.

**ERRORS**

Seemath_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 overflowerrnois set toERANGE. 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 seterrnofor this case.

**CONFORMING** **TO**

C99, POSIX.1-2001. The variant returningdoublealso conforms to SVr4, 4.3BSD.

**SEE** **ALSO**

cabs(3),sqrt(3)

**COLOPHON**

This page is part of release 3.35 of the Linuxman-pagesproject. A description of the project, and information about reporting bugs, can be found at http://man7.org/linux/man- pages/. 2010-09-20 HYPOT(3)