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RocketLink!--> Man page versions: OpenBSD FreeBSD RedHat Others

HYPOT(3)                  OpenBSD Programmer's Manual                 HYPOT(3)

     hypot, hypotf, cabs, cabsf - euclidean distance and complex absolute val-
     ue functions

     #include <math.h>

     hypot(double x, double y);

     hypotf(float x, float y);

     cabs(struct complex { double x; double y; } z);

     cabsf(struct complex { double x; double y; } z);

     The hypot() and cabs() functions computes the sqrt(x*x+y*y) in such a way
     that underflow will not happen, and overflow occurs only if the final re-
     sult deserves it.

     hypot(infinity, v) = hypot(v, infinity) = +infinity for all v, including

ERROR (due to Roundoff, etc.)
     Below 0.97 ulps. Consequently hypot(5.0, 12.0) = 13.0 exactly; in gener-
     al, hypot and cabs return an integer whenever an integer might be expect-

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

     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 (if has no infinity)
     might be surprised at first to discover that hypot(+-infinity, NaN) =
     +infinity.  This is intentional; it happens because hypot(infinity, v) =
     +infinity for all v, finite or infinite.  Hence hypot(infinity, v) is in-
     dependent 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(infinity, NaN).

     The cabs() and cabsf() functions use structures that are not defined in
     any header and need to be defined by the user. As such they cannot be
     prototyped properly.

     math(3),  sqrt(3)

     Both a hypot() function and a cabs() function appeared in Version 7 AT&T

OpenBSD 2.6                       May 6, 1991                                1

Source: OpenBSD 2.6 man pages. Copyright: Portions are copyrighted by BERKELEY
SOFTWARE DESIGN, INC., The Regents of the University of California, Massachusetts
Institute of Technology, Free Software Foundation, FreeBSD Inc., and others.

(Corrections, notes, and links courtesy of RocketAware.com)

[Detailed Topics]
FreeBSD Sources for hypot(3) functions
FreeBSD Sources for hypot(3) functions
OpenBSD sources for hypot(3)

[Overview Topics]

Up to: Floating point math - Floating point math (including complex numbers)
Up to: Trigonometric - Trigonometric functions (sin, cos, tan, et al)

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