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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():
       _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
           || _XOPEN_SOURCE
           || /* Since glibc 2.19: */ _DEFAULT_SOURCE
           || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
   hypotf(), hypotl():
       _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
           || /* Since glibc 2.19: */ _DEFAULT_SOURCE
           || /* Glibc versions <= 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  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 4.09 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
   https://www.kernel.org/doc/man-pages/.

                              2016-03-15                          HYPOT(3)



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