# HYPOT(3) - man page online | library functions

Euclidean distance function.

Chapter

2015-03-29

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); Link with -lm. 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

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.## SEE ALSO

cabs(3), sqrt(3)## COLOPHON

This page is part of release 4.04 of the Linux man-pages project. A description of the project, information about reporting bugs, and the latest version of this page, can be found at http://www.kernel.org/doc/man-pages/.2015-03-29 HYPOT(3)

This manual | Reference | Other manuals |

hypot(3) | referred by | cabs(3) | sqrt(3) |

refer to | attributes(7) | cabs(3) | feature_test_macros(7) | math_error(7) | sqrt(3) |