hypot(3) — Linux manual page

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
       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 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)

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Linux man-pages 6.9.1          2024-05-02                       hypot(3)

Pages that refer to this page: cabs(3), sqrt(3)