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 );
Link with -lm.
Feature Test Macro Requirements for glibc (see feature_test_macros(7)):
hypot(): hypotf(), hypotl():

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.

SEE ALSO

cabs(3), sqrt(3)

COLOPHON

This page is part of release 3.53 of the Linux man-pages project. A description of the project, and information about reporting bugs, can be found at http://www.kernel.org/doc/man-pages/.