NAME |LIBRARY |SYNOPSIS |DESCRIPTION |RETURN VALUE |ERRORS |ATTRIBUTES |STANDARDS |HISTORY |SEE ALSO |COLOPHON | |
hypot(3) Library Functions Manualhypot(3)hypot, hypotf, hypotl - Euclidean distance function
Math library (libm,-lm)
#include <math.h>double hypot(doublex, doubley);float hypotf(floatx, floaty);long double hypotl(long doublex, long doubley); Feature Test Macro Requirements for glibc (seefeature_test_macros(7)):hypot(): _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || _XOPEN_SOURCE || /* Since glibc 2.19: */ _DEFAULT_SOURCE || /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCEhypotf(),hypotl(): _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || /* Since glibc 2.19: */ _DEFAULT_SOURCE || /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
These functions return sqrt(x*x+y*y). This is the length of the hypotenuse of a right-angled triangle with sides of lengthx andy, 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.
On success, these functions return the length of the hypotenuse of a right-angled triangle with sides of lengthx andy. Ifx ory is an infinity, positive infinity is returned. Ifx ory 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 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.
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 overflowerrno is 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 seterrno for this case.
For an explanation of the terms used in this section, seeattributes(7). ┌──────────────────────────────────────┬───────────────┬─────────┐ │Interface│Attribute│Value│ ├──────────────────────────────────────┼───────────────┼─────────┤ │hypot(),hypotf(),hypotl() │ Thread safety │ MT-Safe │ └──────────────────────────────────────┴───────────────┴─────────┘
C11, POSIX.1-2008.
C99, POSIX.1-2001. The variant returningdouble also conforms to SVr4, 4.3BSD.
cabs(3),sqrt(3)
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