hypot(3) Library Functions Manual hypot(3)
NAME
hypot, hypotf, hypotl - Euclidean distance function
LIBRARY
Math library (libm, -lm)
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);
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
These functions return sqrt(x*x+y*y). This is the length of the hy-
potenuse 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 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
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 │
└────────────────────────────────────────────┴───────────────┴─────────┘
STANDARDS
C11, POSIX.1-2008.
HISTORY
C99, POSIX.1-2001.
The variant returning double also conforms to SVr4, 4.3BSD.
SEE ALSO
cabs(3), sqrt(3)
Linux man-pages 6.9.1 2024-05-02 hypot(3)
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