hypot man page on NetBSD

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HYPOT(3)		 BSD Library Functions Manual		      HYPOT(3)

NAME
     hypot, hypotf — Euclidean distance and complex absolute value functions

LIBRARY
     Math Library (libm, -lm)

SYNOPSIS
     #include <math.h>

     double
     hypot(double x, double y);

     float
     hypotf(float x, float y);

DESCRIPTION
     The hypot() functions compute the sqrt(x*x+y*y) in such a way that under‐
     flow will not happen, and overflow occurs only if the final result
     deserves it.

     hypot(∞, v) = hypot(v, ∞) = +∞ for all v, including NaN.

ERRORS
     Below 0.97 ulps.  Consequently hypot(5.0, 12.0) = 13.0 exactly; in gen‐
     eral, hypot returns an integer whenever an integer might be expected.

     The same cannot be said for the shorter and faster version of hypot that
     is provided in the comments in cabs.c; its error can exceed 1.2 ulps.

NOTES
     As might be expected, hypot(v, NaN) and hypot(NaN, v) are NaN for all
     finite v; with "reserved operand" in place of "NaN", the same is true on
     a VAX.  But programmers on machines other than a VAX (it has no ∞) might
     be surprised at first to discover that hypot(±∞, NaN) = +∞.  This is
     intentional; it happens because hypot(∞, v) = +∞ for all v, finite or
     infinite.	Hence hypot(∞, v) is independent of v.	Unlike the reserved
     operand fault on a VAX, the IEEE NaN is designed to disappear when it
     turns out to be irrelevant, as it does in hypot(∞, NaN).

SEE ALSO
     math(3), sqrt(3)

HISTORY
     Both a hypot() function and a cabs() function appeared in Version 7 AT&T
     UNIX.  cabs() was removed from public namespace in NetBSD 5.0 to avoid
     conflicts with the complex function in C99.

BSD			       February 12, 2007			   BSD
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